analysis.seminorm ⟷ Mathlib.Analysis.Seminorm

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

@@ -5,7 +5,7 @@ Authors: Jean Lo, Yaël Dillies, Moritz Doll
 -/
 import Data.Real.Pointwise
 import Analysis.Convex.Function
-import Analysis.LocallyConvex.Basic
+import Topology.Bornology.Absorbs
 import Analysis.Normed.Group.AddTorsor
 
 #align_import analysis.seminorm from "leanprover-community/mathlib"@"9d2f0748e6c50d7a2657c564b1ff2c695b39148d"
@@ -1361,7 +1361,7 @@ theorem continuousAt_zero' [TopologicalSpace E] [ContinuousConstSMul 𝕜 E] {p
   have hk0' := norm_pos_iff.mp hk0
   have := (set_smul_mem_nhds_zero_iff hk0').mpr hp
   refine' Filter.mem_of_superset this (smul_set_subset_iff.mpr fun x hx => _)
-  rw [mem_closed_ball_zero, map_smul_eq_mul, ← div_mul_cancel ε hr.ne.symm]
+  rw [mem_closed_ball_zero, map_smul_eq_mul, ← div_mul_cancel₀ ε hr.ne.symm]
   exact mul_le_mul hkε.le (p.mem_closed_ball_zero.mp hx) (map_nonneg _ _) (div_nonneg hε.le hr.le)
 #align seminorm.continuous_at_zero' Seminorm.continuousAt_zero'
 -/

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

@@ -101,7 +101,7 @@ def Seminorm.ofSMulLE [NormedField 𝕜] [AddCommGroup E] [Module 𝕜 E] (f : E
     rw [← mul_le_mul_left (inv_pos.mpr (norm_pos_iff.mpr h))]
     rw [inv_mul_cancel_left₀ (norm_ne_zero_iff.mpr h)]
     specialize smul_le r⁻¹ (r • x)
-    rw [norm_inv] at smul_le 
+    rw [norm_inv] at smul_le
     convert smul_le
     simp [h]
 #align seminorm.of_smul_le Seminorm.ofSMulLE
@@ -1009,7 +1009,7 @@ theorem balanced_ball_zero (r : ℝ) : Balanced 𝕜 (ball p 0 r) :=
   rw [mem_ball_zero, ← hx, map_smul_eq_mul]
   calc
     _ ≤ p y := mul_le_of_le_one_left (map_nonneg p _) ha
-    _ < r := by rwa [mem_ball_zero] at hy 
+    _ < r := by rwa [mem_ball_zero] at hy
 #align seminorm.balanced_ball_zero Seminorm.balanced_ball_zero
 -/
 
@@ -1021,7 +1021,7 @@ theorem balanced_closedBall_zero (r : ℝ) : Balanced 𝕜 (closedBall p 0 r) :=
   rw [mem_closed_ball_zero, ← hx, map_smul_eq_mul]
   calc
     _ ≤ p y := mul_le_of_le_one_left (map_nonneg p _) ha
-    _ ≤ r := by rwa [mem_closed_ball_zero] at hy 
+    _ ≤ r := by rwa [mem_closed_ball_zero] at hy
 #align seminorm.balanced_closed_ball_zero Seminorm.balanced_closedBall_zero
 -/
 
@@ -1069,7 +1069,7 @@ theorem ball_smul_ball (p : Seminorm 𝕜 E) (r₁ r₂ : ℝ) :
   by
   rw [Set.subset_def]
   intro x hx
-  rw [Set.mem_smul] at hx 
+  rw [Set.mem_smul] at hx
   rcases hx with ⟨a, y, ha, hy, hx⟩
   rw [← hx, mem_ball_zero, map_smul_eq_mul]
   exact
@@ -1083,10 +1083,10 @@ theorem closedBall_smul_closedBall (p : Seminorm 𝕜 E) (r₁ r₂ : ℝ) :
   by
   rw [Set.subset_def]
   intro x hx
-  rw [Set.mem_smul] at hx 
+  rw [Set.mem_smul] at hx
   rcases hx with ⟨a, y, ha, hy, hx⟩
   rw [← hx, mem_closed_ball_zero, map_smul_eq_mul]
-  rw [mem_closedBall_zero_iff] at ha 
+  rw [mem_closedBall_zero_iff] at ha
   exact mul_le_mul ha (p.mem_closed_ball_zero.mp hy) (map_nonneg _ y) ((norm_nonneg a).trans ha)
 #align seminorm.closed_ball_smul_closed_ball Seminorm.closedBall_smul_closedBall
 -/
@@ -1155,7 +1155,7 @@ theorem smul_closedBall_subset {p : Seminorm 𝕜 E} {k : 𝕜} {r : ℝ} :
   by
   rintro x ⟨y, hy, h⟩
   rw [Seminorm.mem_closedBall_zero, ← h, map_smul_eq_mul]
-  rw [Seminorm.mem_closedBall_zero] at hy 
+  rw [Seminorm.mem_closedBall_zero] at hy
   exact mul_le_mul_of_nonneg_left hy (norm_nonneg _)
 #align seminorm.smul_closed_ball_subset Seminorm.smul_closedBall_subset
 -/
@@ -1182,7 +1182,7 @@ theorem ball_zero_absorbs_ball_zero (p : Seminorm 𝕜 E) {r₁ r₂ : ℝ} (hr
   rcases exists_pos_lt_mul hr₁ r₂ with ⟨r, hr₀, hr⟩
   refine' ⟨r, hr₀, fun a ha x hx => _⟩
   rw [smul_ball_zero (norm_pos_iff.1 <| hr₀.trans_le ha), p.mem_ball_zero]
-  rw [p.mem_ball_zero] at hx 
+  rw [p.mem_ball_zero] at hx
   exact hx.trans (hr.trans_le <| mul_le_mul_of_nonneg_right ha hr₁.le)
 #align seminorm.ball_zero_absorbs_ball_zero Seminorm.ball_zero_absorbs_ball_zero
 -/
@@ -1208,7 +1208,7 @@ protected theorem absorbent_closedBall_zero (hr : 0 < r) : Absorbent 𝕜 (close
 protected theorem absorbent_ball (hpr : p x < r) : Absorbent 𝕜 (ball p x r) :=
   by
   refine' (p.absorbent_ball_zero <| sub_pos.2 hpr).Subset fun y hy => _
-  rw [p.mem_ball_zero] at hy 
+  rw [p.mem_ball_zero] at hy
   exact p.mem_ball.2 ((map_sub_le_add p _ _).trans_lt <| add_lt_of_lt_sub_right hy)
 #align seminorm.absorbent_ball Seminorm.absorbent_ball
 -/
@@ -1218,7 +1218,7 @@ protected theorem absorbent_ball (hpr : p x < r) : Absorbent 𝕜 (ball p x r) :
 protected theorem absorbent_closedBall (hpr : p x < r) : Absorbent 𝕜 (closedBall p x r) :=
   by
   refine' (p.absorbent_closed_ball_zero <| sub_pos.2 hpr).Subset fun y hy => _
-  rw [p.mem_closed_ball_zero] at hy 
+  rw [p.mem_closed_ball_zero] at hy
   exact p.mem_closed_ball.2 ((map_sub_le_add p _ _).trans <| add_le_of_le_sub_right hy)
 #align seminorm.absorbent_closed_ball Seminorm.absorbent_closedBall
 -/
@@ -1356,7 +1356,7 @@ theorem continuousAt_zero' [TopologicalSpace E] [ContinuousConstSMul 𝕜 E] {p
   intro ε hε
   rw [map_zero]
   suffices p.closed_ball 0 ε ∈ (𝓝 0 : Filter E) by
-    rwa [Seminorm.closedBall_zero_eq_preimage_closedBall] at this 
+    rwa [Seminorm.closedBall_zero_eq_preimage_closedBall] at this
   rcases exists_norm_lt 𝕜 (div_pos hε hr) with ⟨k, hk0, hkε⟩
   have hk0' := norm_pos_iff.mp hk0
   have := (set_smul_mem_nhds_zero_iff hk0').mpr hp

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

@@ -625,7 +625,7 @@ noncomputable instance : SupSet (Seminorm 𝕜 E)
         add_le' := fun x y => by
           rcases h with ⟨q, hq⟩
           obtain rfl | h := s.eq_empty_or_nonempty
-          · simp [Real.ciSup_empty]
+          · simp [Real.iSup_of_isEmpty]
           haveI : Nonempty ↥s := h.coe_sort
           simp only [iSup_apply]
           refine'

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

@@ -469,6 +469,10 @@ theorem finset_sup_apply (p : ι → Seminorm 𝕜 E) (s : Finset ι) (x : E) :
 #print Seminorm.finset_sup_le_sum /-
 theorem finset_sup_le_sum (p : ι → Seminorm 𝕜 E) (s : Finset ι) : s.sup p ≤ ∑ i in s, p i := by
   classical
+  refine' finset.sup_le_iff.mpr _
+  intro i hi
+  rw [Finset.sum_eq_sum_diff_singleton_add hi, le_add_iff_nonneg_left]
+  exact bot_le
 #align seminorm.finset_sup_le_sum Seminorm.finset_sup_le_sum
 -/
 
@@ -841,7 +845,7 @@ theorem ball_finset_sup' (p : ι → Seminorm 𝕜 E) (s : Finset ι) (H : s.Non
     ball (s.sup' H p) e r = s.inf' H fun i => ball (p i) e r :=
   by
   induction' H using Finset.Nonempty.cons_induction with a a s ha hs ih
-  · classical
+  · classical simp
   · rw [Finset.sup'_cons hs, Finset.inf'_cons hs, ball_sup, inf_eq_inter, ih]
 #align seminorm.ball_finset_sup' Seminorm.ball_finset_sup'
 -/
@@ -851,7 +855,7 @@ theorem closedBall_finset_sup' (p : ι → Seminorm 𝕜 E) (s : Finset ι) (H :
     (r : ℝ) : closedBall (s.sup' H p) e r = s.inf' H fun i => closedBall (p i) e r :=
   by
   induction' H using Finset.Nonempty.cons_induction with a a s ha hs ih
-  · classical
+  · classical simp
   · rw [Finset.sup'_cons hs, Finset.inf'_cons hs, closed_ball_sup, inf_eq_inter, ih]
 #align seminorm.closed_ball_finset_sup' Seminorm.closedBall_finset_sup'
 -/

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

@@ -469,10 +469,6 @@ theorem finset_sup_apply (p : ι → Seminorm 𝕜 E) (s : Finset ι) (x : E) :
 #print Seminorm.finset_sup_le_sum /-
 theorem finset_sup_le_sum (p : ι → Seminorm 𝕜 E) (s : Finset ι) : s.sup p ≤ ∑ i in s, p i := by
   classical
-  refine' finset.sup_le_iff.mpr _
-  intro i hi
-  rw [Finset.sum_eq_sum_diff_singleton_add hi, le_add_iff_nonneg_left]
-  exact bot_le
 #align seminorm.finset_sup_le_sum Seminorm.finset_sup_le_sum
 -/
 
@@ -845,7 +841,7 @@ theorem ball_finset_sup' (p : ι → Seminorm 𝕜 E) (s : Finset ι) (H : s.Non
     ball (s.sup' H p) e r = s.inf' H fun i => ball (p i) e r :=
   by
   induction' H using Finset.Nonempty.cons_induction with a a s ha hs ih
-  · classical simp
+  · classical
   · rw [Finset.sup'_cons hs, Finset.inf'_cons hs, ball_sup, inf_eq_inter, ih]
 #align seminorm.ball_finset_sup' Seminorm.ball_finset_sup'
 -/
@@ -855,7 +851,7 @@ theorem closedBall_finset_sup' (p : ι → Seminorm 𝕜 E) (s : Finset ι) (H :
     (r : ℝ) : closedBall (s.sup' H p) e r = s.inf' H fun i => closedBall (p i) e r :=
   by
   induction' H using Finset.Nonempty.cons_induction with a a s ha hs ih
-  · classical simp
+  · classical
   · rw [Finset.sup'_cons hs, Finset.inf'_cons hs, closed_ball_sup, inf_eq_inter, ih]
 #align seminorm.closed_ball_finset_sup' Seminorm.closedBall_finset_sup'
 -/

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

@@ -137,12 +137,12 @@ instance instSeminormClass : SeminormClass (Seminorm 𝕜 E) 𝕜 E
 
 /-- Helper instance for when there's too many metavariables to apply `fun_like.has_coe_to_fun`. -/
 instance : CoeFun (Seminorm 𝕜 E) fun _ => E → ℝ :=
-  FunLike.hasCoeToFun
+  DFunLike.hasCoeToFun
 
 #print Seminorm.ext /-
 @[ext]
 theorem ext {p q : Seminorm 𝕜 E} (h : ∀ x, (p : E → ℝ) x = q x) : p = q :=
-  FunLike.ext p q h
+  DFunLike.ext p q h
 #align seminorm.ext Seminorm.ext
 -/
 
@@ -219,14 +219,14 @@ theorem add_apply (p q : Seminorm 𝕜 E) (x : E) : (p + q) x = p x + q x :=
 -/
 
 instance : AddMonoid (Seminorm 𝕜 E) :=
-  FunLike.coe_injective.AddMonoid _ rfl coe_add fun p n => coe_smul n p
+  DFunLike.coe_injective.AddMonoid _ rfl coe_add fun p n => coe_smul n p
 
 instance : OrderedCancelAddCommMonoid (Seminorm 𝕜 E) :=
-  FunLike.coe_injective.OrderedCancelAddCommMonoid _ rfl coe_add fun p n => coe_smul n p
+  DFunLike.coe_injective.OrderedCancelAddCommMonoid _ rfl coe_add fun p n => coe_smul n p
 
 instance [Monoid R] [MulAction R ℝ] [SMul R ℝ≥0] [IsScalarTower R ℝ≥0 ℝ] :
     MulAction R (Seminorm 𝕜 E) :=
-  FunLike.coe_injective.MulAction _ coe_smul
+  DFunLike.coe_injective.MulAction _ coe_smul
 
 variable (𝕜 E)
 
@@ -241,7 +241,7 @@ def coeFnAddMonoidHom : AddMonoidHom (Seminorm 𝕜 E) (E → ℝ) :=
 
 #print Seminorm.coeFnAddMonoidHom_injective /-
 theorem coeFnAddMonoidHom_injective : Function.Injective (coeFnAddMonoidHom 𝕜 E) :=
-  show @Function.Injective (Seminorm 𝕜 E) (E → ℝ) coeFn from FunLike.coe_injective
+  show @Function.Injective (Seminorm 𝕜 E) (E → ℝ) coeFn from DFunLike.coe_injective
 #align seminorm.coe_fn_add_monoid_hom_injective Seminorm.coeFnAddMonoidHom_injective
 -/
 
@@ -287,7 +287,7 @@ theorem smul_sup [SMul R ℝ] [SMul R ℝ≥0] [IsScalarTower R ℝ≥0 ℝ] (r
 -/
 
 instance : PartialOrder (Seminorm 𝕜 E) :=
-  PartialOrder.lift _ FunLike.coe_injective
+  PartialOrder.lift _ DFunLike.coe_injective
 
 #print Seminorm.coe_le_coe /-
 @[simp, norm_cast]
@@ -316,7 +316,7 @@ theorem lt_def {p q : Seminorm 𝕜 E} : p < q ↔ p ≤ q ∧ ∃ x, p x < q x
 -/
 
 instance : SemilatticeSup (Seminorm 𝕜 E) :=
-  Function.Injective.semilatticeSup _ FunLike.coe_injective coe_sup
+  Function.Injective.semilatticeSup _ DFunLike.coe_injective coe_sup
 
 end SMul
 

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

@@ -3,10 +3,10 @@ Copyright (c) 2019 Jean Lo. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Jean Lo, Yaël Dillies, Moritz Doll
 -/
-import Mathbin.Data.Real.Pointwise
-import Mathbin.Analysis.Convex.Function
-import Mathbin.Analysis.LocallyConvex.Basic
-import Mathbin.Analysis.Normed.Group.AddTorsor
+import Data.Real.Pointwise
+import Analysis.Convex.Function
+import Analysis.LocallyConvex.Basic
+import Analysis.Normed.Group.AddTorsor
 
 #align_import analysis.seminorm from "leanprover-community/mathlib"@"9d2f0748e6c50d7a2657c564b1ff2c695b39148d"
 

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

@@ -62,11 +62,11 @@ attribute [nolint doc_blame] Seminorm.toAddGroupSeminorm
 You should extend this class when you extend `seminorm`. -/
 class SeminormClass (F : Type _) (𝕜 E : outParam <| Type _) [SeminormedRing 𝕜] [AddGroup E]
     [SMul 𝕜 E] extends AddGroupSeminormClass F E ℝ where
-  map_smul_eq_mul (f : F) (a : 𝕜) (x : E) : f (a • x) = ‖a‖ * f x
+  map_smul_eq_hMul (f : F) (a : 𝕜) (x : E) : f (a • x) = ‖a‖ * f x
 #align seminorm_class SeminormClass
 -/
 
-export SeminormClass (map_smul_eq_mul)
+export SeminormClass (map_smul_eq_hMul)
 
 -- `𝕜` is an `out_param`, so this is a false positive.
 attribute [nolint dangerous_instance] SeminormClass.toAddGroupSeminormClass
@@ -131,7 +131,7 @@ instance instSeminormClass : SeminormClass (Seminorm 𝕜 E) 𝕜 E
   map_zero f := f.map_zero'
   map_add_le_add f := f.add_le'
   map_neg_eq_map f := f.neg'
-  map_smul_eq_mul f := f.smul'
+  map_smul_eq_hMul f := f.smul'
 #align seminorm.seminorm_class Seminorm.instSeminormClass
 -/
 
@@ -260,7 +260,7 @@ instance : Sup (Seminorm 𝕜 E)
       p.toAddGroupSeminorm ⊔ q.toAddGroupSeminorm with
       toFun := p ⊔ q
       smul' := fun x v =>
-        (congr_arg₂ max (map_smul_eq_mul p x v) (map_smul_eq_mul q x v)).trans <|
+        (congr_arg₂ max (map_smul_eq_hMul p x v) (map_smul_eq_hMul q x v)).trans <|
           (mul_max_of_nonneg _ _ <| norm_nonneg x).symm }
 
 #print Seminorm.coe_sup /-
@@ -527,7 +527,7 @@ theorem comp_smul (p : Seminorm 𝕜₂ E₂) (f : E →ₛₗ[σ₁₂] E₂) (
 #print Seminorm.comp_smul_apply /-
 theorem comp_smul_apply (p : Seminorm 𝕜₂ E₂) (f : E →ₛₗ[σ₁₂] E₂) (c : 𝕜₂) (x : E) :
     p.comp (c • f) x = ‖c‖ * p (f x) :=
-  map_smul_eq_mul p _ _
+  map_smul_eq_hMul p _ _
 #align seminorm.comp_smul_apply Seminorm.comp_smul_apply
 -/
 

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

@@ -2,17 +2,14 @@
 Copyright (c) 2019 Jean Lo. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Jean Lo, Yaël Dillies, Moritz Doll
-
-! This file was ported from Lean 3 source module analysis.seminorm
-! leanprover-community/mathlib commit 9d2f0748e6c50d7a2657c564b1ff2c695b39148d
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.Data.Real.Pointwise
 import Mathbin.Analysis.Convex.Function
 import Mathbin.Analysis.LocallyConvex.Basic
 import Mathbin.Analysis.Normed.Group.AddTorsor
 
+#align_import analysis.seminorm from "leanprover-community/mathlib"@"9d2f0748e6c50d7a2657c564b1ff2c695b39148d"
+
 /-!
 # Seminorms
 

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

@@ -1407,12 +1407,12 @@ protected theorem uniformContinuous [UniformSpace E] [UniformAddGroup E] [Contin
 #align seminorm.uniform_continuous Seminorm.uniformContinuous
 -/
 
-#print Seminorm.uniform_continuous' /-
-protected theorem uniform_continuous' [UniformSpace E] [UniformAddGroup E] [ContinuousConstSMul 𝕜 E]
+#print Seminorm.uniformContinuous' /-
+protected theorem uniformContinuous' [UniformSpace E] [UniformAddGroup E] [ContinuousConstSMul 𝕜 E]
     {p : Seminorm 𝕜 E} {r : ℝ} (hr : 0 < r) (hp : p.closedBall 0 r ∈ (𝓝 0 : Filter E)) :
     UniformContinuous p :=
   Seminorm.uniformContinuous_of_continuousAt_zero (continuousAt_zero' hr hp)
-#align seminorm.uniform_continuous' Seminorm.uniform_continuous'
+#align seminorm.uniform_continuous' Seminorm.uniformContinuous'
 -/
 
 #print Seminorm.continuous /-

mathlib commit https://github.com/leanprover-community/mathlib/commit/2fe465deb81bcd7ccafa065bb686888a82f15372

@@ -1226,10 +1226,10 @@ protected theorem absorbent_closedBall (hpr : p x < r) : Absorbent 𝕜 (closedB
 #align seminorm.absorbent_closed_ball Seminorm.absorbent_closedBall
 -/
 
-#print Seminorm.symmetric_ball_zero /-
-theorem symmetric_ball_zero (r : ℝ) (hx : x ∈ ball p 0 r) : -x ∈ ball p 0 r :=
+#print Seminorm.neg_mem_ball_zero /-
+theorem neg_mem_ball_zero (r : ℝ) (hx : x ∈ ball p 0 r) : -x ∈ ball p 0 r :=
   balanced_ball_zero p r (-1) (by rw [norm_neg, norm_one]) ⟨x, hx, by rw [neg_smul, one_smul]⟩
-#align seminorm.symmetric_ball_zero Seminorm.symmetric_ball_zero
+#align seminorm.symmetric_ball_zero Seminorm.neg_mem_ball_zero
 -/
 
 #print Seminorm.neg_ball /-

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

@@ -1470,7 +1470,7 @@ theorem coe_normSeminorm : ⇑(normSeminorm 𝕜 E) = norm :=
 
 #print ball_normSeminorm /-
 @[simp]
-theorem ball_normSeminorm : (normSeminorm 𝕜 E).ball = Metric.ball := by ext (x r y);
+theorem ball_normSeminorm : (normSeminorm 𝕜 E).ball = Metric.ball := by ext x r y;
   simp only [Seminorm.mem_ball, Metric.mem_ball, coe_normSeminorm, dist_eq_norm]
 #align ball_norm_seminorm ball_normSeminorm
 -/

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

@@ -76,6 +76,7 @@ attribute [nolint dangerous_instance] SeminormClass.toAddGroupSeminormClass
 
 section Of
 
+#print Seminorm.of /-
 /-- Alternative constructor for a `seminorm` on an `add_comm_group E` that is a module over a
 `semi_norm_ring 𝕜`. -/
 def Seminorm.of [SeminormedRing 𝕜] [AddCommGroup E] [Module 𝕜 E] (f : E → ℝ)
@@ -87,7 +88,9 @@ def Seminorm.of [SeminormedRing 𝕜] [AddCommGroup E] [Module 𝕜 E] (f : E 
   smul' := smul
   neg' x := by rw [← neg_one_smul 𝕜, smul, norm_neg, ← smul, one_smul]
 #align seminorm.of Seminorm.of
+-/
 
+#print Seminorm.ofSMulLE /-
 /-- Alternative constructor for a `seminorm` over a normed field `𝕜` that only assumes `f 0 = 0`
 and an inequality for the scalar multiplication. -/
 def Seminorm.ofSMulLE [NormedField 𝕜] [AddCommGroup E] [Module 𝕜 E] (f : E → ℝ) (map_zero : f 0 = 0)
@@ -105,6 +108,7 @@ def Seminorm.ofSMulLE [NormedField 𝕜] [AddCommGroup E] [Module 𝕜 E] (f : E
     convert smul_le
     simp [h]
 #align seminorm.of_smul_le Seminorm.ofSMulLE
+-/
 
 end Of
 
@@ -138,23 +142,29 @@ instance instSeminormClass : SeminormClass (Seminorm 𝕜 E) 𝕜 E
 instance : CoeFun (Seminorm 𝕜 E) fun _ => E → ℝ :=
   FunLike.hasCoeToFun
 
+#print Seminorm.ext /-
 @[ext]
 theorem ext {p q : Seminorm 𝕜 E} (h : ∀ x, (p : E → ℝ) x = q x) : p = q :=
   FunLike.ext p q h
 #align seminorm.ext Seminorm.ext
+-/
 
 instance : Zero (Seminorm 𝕜 E) :=
   ⟨{ AddGroupSeminorm.hasZero.zero with smul' := fun _ _ => (MulZeroClass.mul_zero _).symm }⟩
 
+#print Seminorm.coe_zero /-
 @[simp]
 theorem coe_zero : ⇑(0 : Seminorm 𝕜 E) = 0 :=
   rfl
 #align seminorm.coe_zero Seminorm.coe_zero
+-/
 
+#print Seminorm.zero_apply /-
 @[simp]
 theorem zero_apply (x : E) : (0 : Seminorm 𝕜 E) x = 0 :=
   rfl
 #align seminorm.zero_apply Seminorm.zero_apply
+-/
 
 instance : Inhabited (Seminorm 𝕜 E) :=
   ⟨0⟩
@@ -175,16 +185,20 @@ instance [SMul R ℝ] [SMul R ℝ≥0] [IsScalarTower R ℝ≥0 ℝ] [SMul R' 
     [IsScalarTower R' ℝ≥0 ℝ] [SMul R R'] [IsScalarTower R R' ℝ] : IsScalarTower R R' (Seminorm 𝕜 E)
     where smul_assoc r a p := ext fun x => smul_assoc r a (p x)
 
+#print Seminorm.coe_smul /-
 theorem coe_smul [SMul R ℝ] [SMul R ℝ≥0] [IsScalarTower R ℝ≥0 ℝ] (r : R) (p : Seminorm 𝕜 E) :
     ⇑(r • p) = r • p :=
   rfl
 #align seminorm.coe_smul Seminorm.coe_smul
+-/
 
+#print Seminorm.smul_apply /-
 @[simp]
 theorem smul_apply [SMul R ℝ] [SMul R ℝ≥0] [IsScalarTower R ℝ≥0 ℝ] (r : R) (p : Seminorm 𝕜 E)
     (x : E) : (r • p) x = r • p x :=
   rfl
 #align seminorm.smul_apply Seminorm.smul_apply
+-/
 
 instance : Add (Seminorm 𝕜 E)
     where add p q :=
@@ -194,14 +208,18 @@ instance : Add (Seminorm 𝕜 E)
       toFun := fun x => p x + q x
       smul' := fun a x => by simp only [map_smul_eq_mul, map_smul_eq_mul, mul_add] }
 
+#print Seminorm.coe_add /-
 theorem coe_add (p q : Seminorm 𝕜 E) : ⇑(p + q) = p + q :=
   rfl
 #align seminorm.coe_add Seminorm.coe_add
+-/
 
+#print Seminorm.add_apply /-
 @[simp]
 theorem add_apply (p q : Seminorm 𝕜 E) (x : E) : (p + q) x = p x + q x :=
   rfl
 #align seminorm.add_apply Seminorm.add_apply
+-/
 
 instance : AddMonoid (Seminorm 𝕜 E) :=
   FunLike.coe_injective.AddMonoid _ rfl coe_add fun p n => coe_smul n p
@@ -215,16 +233,20 @@ instance [Monoid R] [MulAction R ℝ] [SMul R ℝ≥0] [IsScalarTower R ℝ≥0
 
 variable (𝕜 E)
 
+#print Seminorm.coeFnAddMonoidHom /-
 /-- `coe_fn` as an `add_monoid_hom`. Helper definition for showing that `seminorm 𝕜 E` is
 a module. -/
 @[simps]
 def coeFnAddMonoidHom : AddMonoidHom (Seminorm 𝕜 E) (E → ℝ) :=
   ⟨coeFn, coe_zero, coe_add⟩
 #align seminorm.coe_fn_add_monoid_hom Seminorm.coeFnAddMonoidHom
+-/
 
+#print Seminorm.coeFnAddMonoidHom_injective /-
 theorem coeFnAddMonoidHom_injective : Function.Injective (coeFnAddMonoidHom 𝕜 E) :=
   show @Function.Injective (Seminorm 𝕜 E) (E → ℝ) coeFn from FunLike.coe_injective
 #align seminorm.coe_fn_add_monoid_hom_injective Seminorm.coeFnAddMonoidHom_injective
+-/
 
 variable {𝕜 E}
 
@@ -244,15 +266,20 @@ instance : Sup (Seminorm 𝕜 E)
         (congr_arg₂ max (map_smul_eq_mul p x v) (map_smul_eq_mul q x v)).trans <|
           (mul_max_of_nonneg _ _ <| norm_nonneg x).symm }
 
+#print Seminorm.coe_sup /-
 @[simp]
 theorem coe_sup (p q : Seminorm 𝕜 E) : ⇑(p ⊔ q) = p ⊔ q :=
   rfl
 #align seminorm.coe_sup Seminorm.coe_sup
+-/
 
+#print Seminorm.sup_apply /-
 theorem sup_apply (p q : Seminorm 𝕜 E) (x : E) : (p ⊔ q) x = p x ⊔ q x :=
   rfl
 #align seminorm.sup_apply Seminorm.sup_apply
+-/
 
+#print Seminorm.smul_sup /-
 theorem smul_sup [SMul R ℝ] [SMul R ℝ≥0] [IsScalarTower R ℝ≥0 ℝ] (r : R) (p q : Seminorm 𝕜 E) :
     r • (p ⊔ q) = r • p ⊔ r • q :=
   have real.smul_max : ∀ x y : ℝ, r • max x y = max (r • x) (r • y) := fun x y => by
@@ -260,27 +287,36 @@ theorem smul_sup [SMul R ℝ] [SMul R ℝ≥0] [IsScalarTower R ℝ≥0 ℝ] (r
       mul_max_of_nonneg x y (r • 1 : ℝ≥0).coe_nonneg
   ext fun x => real.smul_max _ _
 #align seminorm.smul_sup Seminorm.smul_sup
+-/
 
 instance : PartialOrder (Seminorm 𝕜 E) :=
   PartialOrder.lift _ FunLike.coe_injective
 
+#print Seminorm.coe_le_coe /-
 @[simp, norm_cast]
 theorem coe_le_coe {p q : Seminorm 𝕜 E} : (p : E → ℝ) ≤ q ↔ p ≤ q :=
   Iff.rfl
 #align seminorm.coe_le_coe Seminorm.coe_le_coe
+-/
 
+#print Seminorm.coe_lt_coe /-
 @[simp, norm_cast]
 theorem coe_lt_coe {p q : Seminorm 𝕜 E} : (p : E → ℝ) < q ↔ p < q :=
   Iff.rfl
 #align seminorm.coe_lt_coe Seminorm.coe_lt_coe
+-/
 
+#print Seminorm.le_def /-
 theorem le_def {p q : Seminorm 𝕜 E} : p ≤ q ↔ ∀ x, p x ≤ q x :=
   Iff.rfl
 #align seminorm.le_def Seminorm.le_def
+-/
 
+#print Seminorm.lt_def /-
 theorem lt_def {p q : Seminorm 𝕜 E} : p < q ↔ p ≤ q ∧ ∃ x, p x < q x :=
   Pi.lt_def
 #align seminorm.lt_def Seminorm.lt_def
+-/
 
 instance : SemilatticeSup (Seminorm 𝕜 E) :=
   Function.Injective.semilatticeSup _ FunLike.coe_injective coe_sup
@@ -318,71 +354,98 @@ def comp (p : Seminorm 𝕜₂ E₂) (f : E →ₛₗ[σ₁₂] E₂) : Seminorm
 #align seminorm.comp Seminorm.comp
 -/
 
+#print Seminorm.coe_comp /-
 theorem coe_comp (p : Seminorm 𝕜₂ E₂) (f : E →ₛₗ[σ₁₂] E₂) : ⇑(p.comp f) = p ∘ f :=
   rfl
 #align seminorm.coe_comp Seminorm.coe_comp
+-/
 
+#print Seminorm.comp_apply /-
 @[simp]
 theorem comp_apply (p : Seminorm 𝕜₂ E₂) (f : E →ₛₗ[σ₁₂] E₂) (x : E) : (p.comp f) x = p (f x) :=
   rfl
 #align seminorm.comp_apply Seminorm.comp_apply
+-/
 
+#print Seminorm.comp_id /-
 @[simp]
 theorem comp_id (p : Seminorm 𝕜 E) : p.comp LinearMap.id = p :=
   ext fun _ => rfl
 #align seminorm.comp_id Seminorm.comp_id
+-/
 
+#print Seminorm.comp_zero /-
 @[simp]
 theorem comp_zero (p : Seminorm 𝕜₂ E₂) : p.comp (0 : E →ₛₗ[σ₁₂] E₂) = 0 :=
   ext fun _ => map_zero p
 #align seminorm.comp_zero Seminorm.comp_zero
+-/
 
+#print Seminorm.zero_comp /-
 @[simp]
 theorem zero_comp (f : E →ₛₗ[σ₁₂] E₂) : (0 : Seminorm 𝕜₂ E₂).comp f = 0 :=
   ext fun _ => rfl
 #align seminorm.zero_comp Seminorm.zero_comp
+-/
 
+#print Seminorm.comp_comp /-
 theorem comp_comp [RingHomCompTriple σ₁₂ σ₂₃ σ₁₃] (p : Seminorm 𝕜₃ E₃) (g : E₂ →ₛₗ[σ₂₃] E₃)
     (f : E →ₛₗ[σ₁₂] E₂) : p.comp (g.comp f) = (p.comp g).comp f :=
   ext fun _ => rfl
 #align seminorm.comp_comp Seminorm.comp_comp
+-/
 
+#print Seminorm.add_comp /-
 theorem add_comp (p q : Seminorm 𝕜₂ E₂) (f : E →ₛₗ[σ₁₂] E₂) :
     (p + q).comp f = p.comp f + q.comp f :=
   ext fun _ => rfl
 #align seminorm.add_comp Seminorm.add_comp
+-/
 
+#print Seminorm.comp_add_le /-
 theorem comp_add_le (p : Seminorm 𝕜₂ E₂) (f g : E →ₛₗ[σ₁₂] E₂) :
     p.comp (f + g) ≤ p.comp f + p.comp g := fun _ => map_add_le_add p _ _
 #align seminorm.comp_add_le Seminorm.comp_add_le
+-/
 
+#print Seminorm.smul_comp /-
 theorem smul_comp (p : Seminorm 𝕜₂ E₂) (f : E →ₛₗ[σ₁₂] E₂) (c : R) :
     (c • p).comp f = c • p.comp f :=
   ext fun _ => rfl
 #align seminorm.smul_comp Seminorm.smul_comp
+-/
 
+#print Seminorm.comp_mono /-
 theorem comp_mono {p q : Seminorm 𝕜₂ E₂} (f : E →ₛₗ[σ₁₂] E₂) (hp : p ≤ q) : p.comp f ≤ q.comp f :=
   fun _ => hp _
 #align seminorm.comp_mono Seminorm.comp_mono
+-/
 
+#print Seminorm.pullback /-
 /-- The composition as an `add_monoid_hom`. -/
 @[simps]
 def pullback (f : E →ₛₗ[σ₁₂] E₂) : Seminorm 𝕜₂ E₂ →+ Seminorm 𝕜 E :=
   ⟨fun p => p.comp f, zero_comp f, fun p q => add_comp p q f⟩
 #align seminorm.pullback Seminorm.pullback
+-/
 
 instance : OrderBot (Seminorm 𝕜 E) :=
   ⟨0, map_nonneg⟩
 
+#print Seminorm.coe_bot /-
 @[simp]
 theorem coe_bot : ⇑(⊥ : Seminorm 𝕜 E) = 0 :=
   rfl
 #align seminorm.coe_bot Seminorm.coe_bot
+-/
 
+#print Seminorm.bot_eq_zero /-
 theorem bot_eq_zero : (⊥ : Seminorm 𝕜 E) = 0 :=
   rfl
 #align seminorm.bot_eq_zero Seminorm.bot_eq_zero
+-/
 
+#print Seminorm.smul_le_smul /-
 theorem smul_le_smul {p q : Seminorm 𝕜 E} {a b : ℝ≥0} (hpq : p ≤ q) (hab : a ≤ b) : a • p ≤ b • q :=
   by
   simp_rw [le_def, coe_smul]
@@ -390,7 +453,9 @@ theorem smul_le_smul {p q : Seminorm 𝕜 E} {a b : ℝ≥0} (hpq : p ≤ q) (ha
   simp_rw [Pi.smul_apply, NNReal.smul_def, smul_eq_mul]
   exact mul_le_mul hab (hpq x) (map_nonneg p x) (NNReal.coe_nonneg b)
 #align seminorm.smul_le_smul Seminorm.smul_le_smul
+-/
 
+#print Seminorm.finset_sup_apply /-
 theorem finset_sup_apply (p : ι → Seminorm 𝕜 E) (s : Finset ι) (x : E) :
     s.sup p x = ↑(s.sup fun i => ⟨p i x, map_nonneg (p i) x⟩ : ℝ≥0) :=
   by
@@ -402,7 +467,9 @@ theorem finset_sup_apply (p : ι → Seminorm 𝕜 E) (s : Finset ι) (x : E) :
     rw [Finset.sup_cons, Finset.sup_cons, coe_sup, sup_eq_max, Pi.sup_apply, sup_eq_max,
       NNReal.coe_max, Subtype.coe_mk, ih]
 #align seminorm.finset_sup_apply Seminorm.finset_sup_apply
+-/
 
+#print Seminorm.finset_sup_le_sum /-
 theorem finset_sup_le_sum (p : ι → Seminorm 𝕜 E) (s : Finset ι) : s.sup p ≤ ∑ i in s, p i := by
   classical
   refine' finset.sup_le_iff.mpr _
@@ -410,7 +477,9 @@ theorem finset_sup_le_sum (p : ι → Seminorm 𝕜 E) (s : Finset ι) : s.sup p
   rw [Finset.sum_eq_sum_diff_singleton_add hi, le_add_iff_nonneg_left]
   exact bot_le
 #align seminorm.finset_sup_le_sum Seminorm.finset_sup_le_sum
+-/
 
+#print Seminorm.finset_sup_apply_le /-
 theorem finset_sup_apply_le {p : ι → Seminorm 𝕜 E} {s : Finset ι} {x : E} {a : ℝ} (ha : 0 ≤ a)
     (h : ∀ i, i ∈ s → p i x ≤ a) : s.sup p x ≤ a :=
   by
@@ -418,7 +487,9 @@ theorem finset_sup_apply_le {p : ι → Seminorm 𝕜 E} {s : Finset ι} {x : E}
   rw [finset_sup_apply, NNReal.coe_le_coe]
   exact Finset.sup_le h
 #align seminorm.finset_sup_apply_le Seminorm.finset_sup_apply_le
+-/
 
+#print Seminorm.finset_sup_apply_lt /-
 theorem finset_sup_apply_lt {p : ι → Seminorm 𝕜 E} {s : Finset ι} {x : E} {a : ℝ} (ha : 0 < a)
     (h : ∀ i, i ∈ s → p i x < a) : s.sup p x < a :=
   by
@@ -427,10 +498,13 @@ theorem finset_sup_apply_lt {p : ι → Seminorm 𝕜 E} {s : Finset ι} {x : E}
   · exact h
   · exact nnreal.coe_pos.mpr ha
 #align seminorm.finset_sup_apply_lt Seminorm.finset_sup_apply_lt
+-/
 
+#print Seminorm.norm_sub_map_le_sub /-
 theorem norm_sub_map_le_sub (p : Seminorm 𝕜 E) (x y : E) : ‖p x - p y‖ ≤ p (x - y) :=
   abs_sub_map_le_sub p x y
 #align seminorm.norm_sub_map_le_sub Seminorm.norm_sub_map_le_sub
+-/
 
 end Module
 
@@ -444,17 +518,21 @@ variable {σ₁₂ : 𝕜 →+* 𝕜₂} [RingHomIsometric σ₁₂]
 
 variable [AddCommGroup E] [AddCommGroup E₂] [Module 𝕜 E] [Module 𝕜₂ E₂]
 
+#print Seminorm.comp_smul /-
 theorem comp_smul (p : Seminorm 𝕜₂ E₂) (f : E →ₛₗ[σ₁₂] E₂) (c : 𝕜₂) :
     p.comp (c • f) = ‖c‖₊ • p.comp f :=
   ext fun _ => by
     rw [comp_apply, smul_apply, LinearMap.smul_apply, map_smul_eq_mul, NNReal.smul_def, coe_nnnorm,
       smul_eq_mul, comp_apply]
 #align seminorm.comp_smul Seminorm.comp_smul
+-/
 
+#print Seminorm.comp_smul_apply /-
 theorem comp_smul_apply (p : Seminorm 𝕜₂ E₂) (f : E →ₛₗ[σ₁₂] E₂) (c : 𝕜₂) (x : E) :
     p.comp (c • f) x = ‖c‖ * p (f x) :=
   map_smul_eq_mul p _ _
 #align seminorm.comp_smul_apply Seminorm.comp_smul_apply
+-/
 
 end SeminormedCommRing
 
@@ -462,10 +540,12 @@ section NormedField
 
 variable [NormedField 𝕜] [AddCommGroup E] [Module 𝕜 E] {p q : Seminorm 𝕜 E} {x : E}
 
+#print Seminorm.bddBelow_range_add /-
 /-- Auxiliary lemma to show that the infimum of seminorms is well-defined. -/
 theorem bddBelow_range_add : BddBelow (range fun u => p u + q (x - u)) :=
   ⟨0, by rintro _ ⟨x, rfl⟩; dsimp; positivity⟩
 #align seminorm.bdd_below_range_add Seminorm.bddBelow_range_add
+-/
 
 noncomputable instance : Inf (Seminorm 𝕜 E)
     where inf p q :=
@@ -487,10 +567,12 @@ noncomputable instance : Inf (Seminorm 𝕜 E)
             (fun u => ⟨a • u, inv_smul_smul₀ ha u⟩) fun u => _
         rw [smul_inv_smul₀ ha] }
 
+#print Seminorm.inf_apply /-
 @[simp]
 theorem inf_apply (p q : Seminorm 𝕜 E) (x : E) : (p ⊓ q) x = ⨅ u : E, p u + q (x - u) :=
   rfl
 #align seminorm.inf_apply Seminorm.inf_apply
+-/
 
 noncomputable instance : Lattice (Seminorm 𝕜 E) :=
   { Seminorm.semilatticeSup with
@@ -502,12 +584,14 @@ noncomputable instance : Lattice (Seminorm 𝕜 E) :=
     le_inf := fun a b c hab hac x =>
       le_ciInf fun u => (le_map_add_map_sub a _ _).trans <| add_le_add (hab _) (hac _) }
 
+#print Seminorm.smul_inf /-
 theorem smul_inf [SMul R ℝ] [SMul R ℝ≥0] [IsScalarTower R ℝ≥0 ℝ] (r : R) (p q : Seminorm 𝕜 E) :
     r • (p ⊓ q) = r • p ⊓ r • q := by
   ext
   simp_rw [smul_apply, inf_apply, smul_apply, ← smul_one_smul ℝ≥0 r (_ : ℝ), NNReal.smul_def,
     smul_eq_mul, Real.mul_iInf_of_nonneg (Subtype.prop _), mul_add]
 #align seminorm.smul_inf Seminorm.smul_inf
+-/
 
 section Classical
 
@@ -567,11 +651,14 @@ noncomputable instance : SupSet (Seminorm 𝕜 E)
           exact i.1.smul' a x }
     else ⊥
 
+#print Seminorm.coe_sSup_eq' /-
 protected theorem coe_sSup_eq' {s : Set <| Seminorm 𝕜 E}
     (hs : BddAbove (coeFn '' s : Set (E → ℝ))) : coeFn (sSup s) = ⨆ p : s, p :=
   congr_arg _ (dif_pos hs)
 #align seminorm.coe_Sup_eq' Seminorm.coe_sSup_eq'
+-/
 
+#print Seminorm.bddAbove_iff /-
 protected theorem bddAbove_iff {s : Set <| Seminorm 𝕜 E} :
     BddAbove s ↔ BddAbove (coeFn '' s : Set (E → ℝ)) :=
   ⟨fun ⟨q, hq⟩ => ⟨q, ball_image_of_ball fun p hp => hq hp⟩, fun H =>
@@ -581,16 +668,21 @@ protected theorem bddAbove_iff {s : Set <| Seminorm 𝕜 E} :
       exact
         le_ciSup ⟨q x, forall_range_iff.mpr fun i : s => hq (mem_image_of_mem _ i.2) x⟩ ⟨p, hp⟩⟩⟩
 #align seminorm.bdd_above_iff Seminorm.bddAbove_iff
+-/
 
+#print Seminorm.coe_sSup_eq /-
 protected theorem coe_sSup_eq {s : Set <| Seminorm 𝕜 E} (hs : BddAbove s) :
     coeFn (sSup s) = ⨆ p : s, p :=
   Seminorm.coe_sSup_eq' (Seminorm.bddAbove_iff.mp hs)
 #align seminorm.coe_Sup_eq Seminorm.coe_sSup_eq
+-/
 
+#print Seminorm.coe_iSup_eq /-
 protected theorem coe_iSup_eq {ι : Type _} {p : ι → Seminorm 𝕜 E} (hp : BddAbove (range p)) :
     coeFn (⨆ i, p i) = ⨆ i, p i := by
   rw [← sSup_range, Seminorm.coe_sSup_eq hp] <;> exact iSup_range' (coeFn : Seminorm 𝕜 E → E → ℝ) p
 #align seminorm.coe_supr_eq Seminorm.coe_iSup_eq
+-/
 
 private theorem seminorm.is_lub_Sup (s : Set (Seminorm 𝕜 E)) (hs₁ : BddAbove s) (hs₂ : s.Nonempty) :
     IsLUB s (sSup s) :=
@@ -648,79 +740,110 @@ def closedBall (x : E) (r : ℝ) :=
 
 variable {x y : E} {r : ℝ}
 
+#print Seminorm.mem_ball /-
 @[simp]
 theorem mem_ball : y ∈ ball p x r ↔ p (y - x) < r :=
   Iff.rfl
 #align seminorm.mem_ball Seminorm.mem_ball
+-/
 
+#print Seminorm.mem_closedBall /-
 @[simp]
 theorem mem_closedBall : y ∈ closedBall p x r ↔ p (y - x) ≤ r :=
   Iff.rfl
 #align seminorm.mem_closed_ball Seminorm.mem_closedBall
+-/
 
+#print Seminorm.mem_ball_self /-
 theorem mem_ball_self (hr : 0 < r) : x ∈ ball p x r := by simp [hr]
 #align seminorm.mem_ball_self Seminorm.mem_ball_self
+-/
 
+#print Seminorm.mem_closedBall_self /-
 theorem mem_closedBall_self (hr : 0 ≤ r) : x ∈ closedBall p x r := by simp [hr]
 #align seminorm.mem_closed_ball_self Seminorm.mem_closedBall_self
+-/
 
+#print Seminorm.mem_ball_zero /-
 theorem mem_ball_zero : y ∈ ball p 0 r ↔ p y < r := by rw [mem_ball, sub_zero]
 #align seminorm.mem_ball_zero Seminorm.mem_ball_zero
+-/
 
+#print Seminorm.mem_closedBall_zero /-
 theorem mem_closedBall_zero : y ∈ closedBall p 0 r ↔ p y ≤ r := by rw [mem_closed_ball, sub_zero]
 #align seminorm.mem_closed_ball_zero Seminorm.mem_closedBall_zero
+-/
 
+#print Seminorm.ball_zero_eq /-
 theorem ball_zero_eq : ball p 0 r = {y : E | p y < r} :=
   Set.ext fun x => p.mem_ball_zero
 #align seminorm.ball_zero_eq Seminorm.ball_zero_eq
+-/
 
+#print Seminorm.closedBall_zero_eq /-
 theorem closedBall_zero_eq : closedBall p 0 r = {y : E | p y ≤ r} :=
   Set.ext fun x => p.mem_closedBall_zero
 #align seminorm.closed_ball_zero_eq Seminorm.closedBall_zero_eq
+-/
 
 #print Seminorm.ball_subset_closedBall /-
 theorem ball_subset_closedBall (x r) : ball p x r ⊆ closedBall p x r := fun y (hy : _ < _) => hy.le
 #align seminorm.ball_subset_closed_ball Seminorm.ball_subset_closedBall
 -/
 
+#print Seminorm.closedBall_eq_biInter_ball /-
 theorem closedBall_eq_biInter_ball (x r) : closedBall p x r = ⋂ ρ > r, ball p x ρ := by
   ext y <;> simp_rw [mem_closed_ball, mem_Inter₂, mem_ball, ← forall_lt_iff_le']
 #align seminorm.closed_ball_eq_bInter_ball Seminorm.closedBall_eq_biInter_ball
+-/
 
+#print Seminorm.ball_zero' /-
 @[simp]
 theorem ball_zero' (x : E) (hr : 0 < r) : ball (0 : Seminorm 𝕜 E) x r = Set.univ :=
   by
   rw [Set.eq_univ_iff_forall, ball]
   simp [hr]
 #align seminorm.ball_zero' Seminorm.ball_zero'
+-/
 
+#print Seminorm.closedBall_zero' /-
 @[simp]
 theorem closedBall_zero' (x : E) (hr : 0 < r) : closedBall (0 : Seminorm 𝕜 E) x r = Set.univ :=
   eq_univ_of_subset (ball_subset_closedBall _ _ _) (ball_zero' x hr)
 #align seminorm.closed_ball_zero' Seminorm.closedBall_zero'
+-/
 
+#print Seminorm.ball_smul /-
 theorem ball_smul (p : Seminorm 𝕜 E) {c : NNReal} (hc : 0 < c) (r : ℝ) (x : E) :
     (c • p).ball x r = p.ball x (r / c) := by ext;
   rw [mem_ball, mem_ball, smul_apply, NNReal.smul_def, smul_eq_mul, mul_comm,
     lt_div_iff (nnreal.coe_pos.mpr hc)]
 #align seminorm.ball_smul Seminorm.ball_smul
+-/
 
+#print Seminorm.closedBall_smul /-
 theorem closedBall_smul (p : Seminorm 𝕜 E) {c : NNReal} (hc : 0 < c) (r : ℝ) (x : E) :
     (c • p).closedBall x r = p.closedBall x (r / c) := by ext;
   rw [mem_closed_ball, mem_closed_ball, smul_apply, NNReal.smul_def, smul_eq_mul, mul_comm,
     le_div_iff (nnreal.coe_pos.mpr hc)]
 #align seminorm.closed_ball_smul Seminorm.closedBall_smul
+-/
 
+#print Seminorm.ball_sup /-
 theorem ball_sup (p : Seminorm 𝕜 E) (q : Seminorm 𝕜 E) (e : E) (r : ℝ) :
     ball (p ⊔ q) e r = ball p e r ∩ ball q e r := by
   simp_rw [ball, ← Set.setOf_and, coe_sup, Pi.sup_apply, sup_lt_iff]
 #align seminorm.ball_sup Seminorm.ball_sup
+-/
 
+#print Seminorm.closedBall_sup /-
 theorem closedBall_sup (p : Seminorm 𝕜 E) (q : Seminorm 𝕜 E) (e : E) (r : ℝ) :
     closedBall (p ⊔ q) e r = closedBall p e r ∩ closedBall q e r := by
   simp_rw [closed_ball, ← Set.setOf_and, coe_sup, Pi.sup_apply, sup_le_iff]
 #align seminorm.closed_ball_sup Seminorm.closedBall_sup
+-/
 
+#print Seminorm.ball_finset_sup' /-
 theorem ball_finset_sup' (p : ι → Seminorm 𝕜 E) (s : Finset ι) (H : s.Nonempty) (e : E) (r : ℝ) :
     ball (s.sup' H p) e r = s.inf' H fun i => ball (p i) e r :=
   by
@@ -728,7 +851,9 @@ theorem ball_finset_sup' (p : ι → Seminorm 𝕜 E) (s : Finset ι) (H : s.Non
   · classical simp
   · rw [Finset.sup'_cons hs, Finset.inf'_cons hs, ball_sup, inf_eq_inter, ih]
 #align seminorm.ball_finset_sup' Seminorm.ball_finset_sup'
+-/
 
+#print Seminorm.closedBall_finset_sup' /-
 theorem closedBall_finset_sup' (p : ι → Seminorm 𝕜 E) (s : Finset ι) (H : s.Nonempty) (e : E)
     (r : ℝ) : closedBall (s.sup' H p) e r = s.inf' H fun i => closedBall (p i) e r :=
   by
@@ -736,23 +861,33 @@ theorem closedBall_finset_sup' (p : ι → Seminorm 𝕜 E) (s : Finset ι) (H :
   · classical simp
   · rw [Finset.sup'_cons hs, Finset.inf'_cons hs, closed_ball_sup, inf_eq_inter, ih]
 #align seminorm.closed_ball_finset_sup' Seminorm.closedBall_finset_sup'
+-/
 
+#print Seminorm.ball_mono /-
 theorem ball_mono {p : Seminorm 𝕜 E} {r₁ r₂ : ℝ} (h : r₁ ≤ r₂) : p.ball x r₁ ⊆ p.ball x r₂ :=
   fun _ (hx : _ < _) => hx.trans_le h
 #align seminorm.ball_mono Seminorm.ball_mono
+-/
 
+#print Seminorm.closedBall_mono /-
 theorem closedBall_mono {p : Seminorm 𝕜 E} {r₁ r₂ : ℝ} (h : r₁ ≤ r₂) :
     p.closedBall x r₁ ⊆ p.closedBall x r₂ := fun _ (hx : _ ≤ _) => hx.trans h
 #align seminorm.closed_ball_mono Seminorm.closedBall_mono
+-/
 
+#print Seminorm.ball_antitone /-
 theorem ball_antitone {p q : Seminorm 𝕜 E} (h : q ≤ p) : p.ball x r ⊆ q.ball x r := fun _ =>
   (h _).trans_lt
 #align seminorm.ball_antitone Seminorm.ball_antitone
+-/
 
+#print Seminorm.closedBall_antitone /-
 theorem closedBall_antitone {p q : Seminorm 𝕜 E} (h : q ≤ p) :
     p.closedBall x r ⊆ q.closedBall x r := fun _ => (h _).trans
 #align seminorm.closed_ball_antitone Seminorm.closedBall_antitone
+-/
 
+#print Seminorm.ball_add_ball_subset /-
 theorem ball_add_ball_subset (p : Seminorm 𝕜 E) (r₁ r₂ : ℝ) (x₁ x₂ : E) :
     p.ball (x₁ : E) r₁ + p.ball (x₂ : E) r₂ ⊆ p.ball (x₁ + x₂) (r₁ + r₂) :=
   by
@@ -760,7 +895,9 @@ theorem ball_add_ball_subset (p : Seminorm 𝕜 E) (r₁ r₂ : ℝ) (x₁ x₂
   rw [mem_ball, add_sub_add_comm]
   exact (map_add_le_add p _ _).trans_lt (add_lt_add hy₁ hy₂)
 #align seminorm.ball_add_ball_subset Seminorm.ball_add_ball_subset
+-/
 
+#print Seminorm.closedBall_add_closedBall_subset /-
 theorem closedBall_add_closedBall_subset (p : Seminorm 𝕜 E) (r₁ r₂ : ℝ) (x₁ x₂ : E) :
     p.closedBall (x₁ : E) r₁ + p.closedBall (x₂ : E) r₂ ⊆ p.closedBall (x₁ + x₂) (r₁ + r₂) :=
   by
@@ -768,22 +905,29 @@ theorem closedBall_add_closedBall_subset (p : Seminorm 𝕜 E) (r₁ r₂ : ℝ)
   rw [mem_closed_ball, add_sub_add_comm]
   exact (map_add_le_add p _ _).trans (add_le_add hy₁ hy₂)
 #align seminorm.closed_ball_add_closed_ball_subset Seminorm.closedBall_add_closedBall_subset
+-/
 
+#print Seminorm.sub_mem_ball /-
 theorem sub_mem_ball (p : Seminorm 𝕜 E) (x₁ x₂ y : E) (r : ℝ) :
     x₁ - x₂ ∈ p.ball y r ↔ x₁ ∈ p.ball (x₂ + y) r := by simp_rw [mem_ball, sub_sub]
 #align seminorm.sub_mem_ball Seminorm.sub_mem_ball
+-/
 
+#print Seminorm.vadd_ball /-
 /-- The image of a ball under addition with a singleton is another ball. -/
 theorem vadd_ball (p : Seminorm 𝕜 E) : x +ᵥ p.ball y r = p.ball (x +ᵥ y) r :=
   letI := AddGroupSeminorm.toSeminormedAddCommGroup p.to_add_group_seminorm
   Metric.vadd_ball x y r
 #align seminorm.vadd_ball Seminorm.vadd_ball
+-/
 
+#print Seminorm.vadd_closedBall /-
 /-- The image of a closed ball under addition with a singleton is another closed ball. -/
 theorem vadd_closedBall (p : Seminorm 𝕜 E) : x +ᵥ p.closedBall y r = p.closedBall (x +ᵥ y) r :=
   letI := AddGroupSeminorm.toSeminormedAddCommGroup p.to_add_group_seminorm
   Metric.vadd_closedBall x y r
 #align seminorm.vadd_closed_ball Seminorm.vadd_closedBall
+-/
 
 end SMul
 
@@ -795,55 +939,72 @@ variable [SeminormedRing 𝕜₂] [AddCommGroup E₂] [Module 𝕜₂ E₂]
 
 variable {σ₁₂ : 𝕜 →+* 𝕜₂} [RingHomIsometric σ₁₂]
 
+#print Seminorm.ball_comp /-
 theorem ball_comp (p : Seminorm 𝕜₂ E₂) (f : E →ₛₗ[σ₁₂] E₂) (x : E) (r : ℝ) :
     (p.comp f).ball x r = f ⁻¹' p.ball (f x) r :=
   by
   ext
   simp_rw [ball, mem_preimage, comp_apply, Set.mem_setOf_eq, map_sub]
 #align seminorm.ball_comp Seminorm.ball_comp
+-/
 
+#print Seminorm.closedBall_comp /-
 theorem closedBall_comp (p : Seminorm 𝕜₂ E₂) (f : E →ₛₗ[σ₁₂] E₂) (x : E) (r : ℝ) :
     (p.comp f).closedBall x r = f ⁻¹' p.closedBall (f x) r :=
   by
   ext
   simp_rw [closed_ball, mem_preimage, comp_apply, Set.mem_setOf_eq, map_sub]
 #align seminorm.closed_ball_comp Seminorm.closedBall_comp
+-/
 
 variable (p : Seminorm 𝕜 E)
 
+#print Seminorm.preimage_metric_ball /-
 theorem preimage_metric_ball {r : ℝ} : p ⁻¹' Metric.ball 0 r = {x | p x < r} :=
   by
   ext x
   simp only [mem_set_of, mem_preimage, mem_ball_zero_iff, Real.norm_of_nonneg (map_nonneg p _)]
 #align seminorm.preimage_metric_ball Seminorm.preimage_metric_ball
+-/
 
+#print Seminorm.preimage_metric_closedBall /-
 theorem preimage_metric_closedBall {r : ℝ} : p ⁻¹' Metric.closedBall 0 r = {x | p x ≤ r} :=
   by
   ext x
   simp only [mem_set_of, mem_preimage, mem_closedBall_zero_iff,
     Real.norm_of_nonneg (map_nonneg p _)]
 #align seminorm.preimage_metric_closed_ball Seminorm.preimage_metric_closedBall
+-/
 
+#print Seminorm.ball_zero_eq_preimage_ball /-
 theorem ball_zero_eq_preimage_ball {r : ℝ} : p.ball 0 r = p ⁻¹' Metric.ball 0 r := by
   rw [ball_zero_eq, preimage_metric_ball]
 #align seminorm.ball_zero_eq_preimage_ball Seminorm.ball_zero_eq_preimage_ball
+-/
 
+#print Seminorm.closedBall_zero_eq_preimage_closedBall /-
 theorem closedBall_zero_eq_preimage_closedBall {r : ℝ} :
     p.closedBall 0 r = p ⁻¹' Metric.closedBall 0 r := by
   rw [closed_ball_zero_eq, preimage_metric_closed_ball]
 #align seminorm.closed_ball_zero_eq_preimage_closed_ball Seminorm.closedBall_zero_eq_preimage_closedBall
+-/
 
+#print Seminorm.ball_bot /-
 @[simp]
 theorem ball_bot {r : ℝ} (x : E) (hr : 0 < r) : ball (⊥ : Seminorm 𝕜 E) x r = Set.univ :=
   ball_zero' x hr
 #align seminorm.ball_bot Seminorm.ball_bot
+-/
 
+#print Seminorm.closedBall_bot /-
 @[simp]
 theorem closedBall_bot {r : ℝ} (x : E) (hr : 0 < r) :
     closedBall (⊥ : Seminorm 𝕜 E) x r = Set.univ :=
   closedBall_zero' x hr
 #align seminorm.closed_ball_bot Seminorm.closedBall_bot
+-/
 
+#print Seminorm.balanced_ball_zero /-
 /-- Seminorm-balls at the origin are balanced. -/
 theorem balanced_ball_zero (r : ℝ) : Balanced 𝕜 (ball p 0 r) :=
   by
@@ -853,7 +1014,9 @@ theorem balanced_ball_zero (r : ℝ) : Balanced 𝕜 (ball p 0 r) :=
     _ ≤ p y := mul_le_of_le_one_left (map_nonneg p _) ha
     _ < r := by rwa [mem_ball_zero] at hy 
 #align seminorm.balanced_ball_zero Seminorm.balanced_ball_zero
+-/
 
+#print Seminorm.balanced_closedBall_zero /-
 /-- Closed seminorm-balls at the origin are balanced. -/
 theorem balanced_closedBall_zero (r : ℝ) : Balanced 𝕜 (closedBall p 0 r) :=
   by
@@ -863,7 +1026,9 @@ theorem balanced_closedBall_zero (r : ℝ) : Balanced 𝕜 (closedBall p 0 r) :=
     _ ≤ p y := mul_le_of_le_one_left (map_nonneg p _) ha
     _ ≤ r := by rwa [mem_closed_ball_zero] at hy 
 #align seminorm.balanced_closed_ball_zero Seminorm.balanced_closedBall_zero
+-/
 
+#print Seminorm.ball_finset_sup_eq_iInter /-
 theorem ball_finset_sup_eq_iInter (p : ι → Seminorm 𝕜 E) (s : Finset ι) (x : E) {r : ℝ}
     (hr : 0 < r) : ball (s.sup p) x r = ⋂ i ∈ s, ball (p i) x r :=
   by
@@ -871,7 +1036,9 @@ theorem ball_finset_sup_eq_iInter (p : ι → Seminorm 𝕜 E) (s : Finset ι) (
   simp_rw [ball, Inter_set_of, finset_sup_apply, NNReal.coe_lt_coe,
     Finset.sup_lt_iff (show ⊥ < r from hr), ← NNReal.coe_lt_coe, Subtype.coe_mk]
 #align seminorm.ball_finset_sup_eq_Inter Seminorm.ball_finset_sup_eq_iInter
+-/
 
+#print Seminorm.closedBall_finset_sup_eq_iInter /-
 theorem closedBall_finset_sup_eq_iInter (p : ι → Seminorm 𝕜 E) (s : Finset ι) (x : E) {r : ℝ}
     (hr : 0 ≤ r) : closedBall (s.sup p) x r = ⋂ i ∈ s, closedBall (p i) x r :=
   by
@@ -879,21 +1046,27 @@ theorem closedBall_finset_sup_eq_iInter (p : ι → Seminorm 𝕜 E) (s : Finset
   simp_rw [closed_ball, Inter_set_of, finset_sup_apply, NNReal.coe_le_coe, Finset.sup_le_iff, ←
     NNReal.coe_le_coe, Subtype.coe_mk]
 #align seminorm.closed_ball_finset_sup_eq_Inter Seminorm.closedBall_finset_sup_eq_iInter
+-/
 
+#print Seminorm.ball_finset_sup /-
 theorem ball_finset_sup (p : ι → Seminorm 𝕜 E) (s : Finset ι) (x : E) {r : ℝ} (hr : 0 < r) :
     ball (s.sup p) x r = s.inf fun i => ball (p i) x r :=
   by
   rw [Finset.inf_eq_iInf]
   exact ball_finset_sup_eq_Inter _ _ _ hr
 #align seminorm.ball_finset_sup Seminorm.ball_finset_sup
+-/
 
+#print Seminorm.closedBall_finset_sup /-
 theorem closedBall_finset_sup (p : ι → Seminorm 𝕜 E) (s : Finset ι) (x : E) {r : ℝ} (hr : 0 ≤ r) :
     closedBall (s.sup p) x r = s.inf fun i => closedBall (p i) x r :=
   by
   rw [Finset.inf_eq_iInf]
   exact closed_ball_finset_sup_eq_Inter _ _ _ hr
 #align seminorm.closed_ball_finset_sup Seminorm.closedBall_finset_sup
+-/
 
+#print Seminorm.ball_smul_ball /-
 theorem ball_smul_ball (p : Seminorm 𝕜 E) (r₁ r₂ : ℝ) :
     Metric.ball (0 : 𝕜) r₁ • p.ball 0 r₂ ⊆ p.ball 0 (r₁ * r₂) :=
   by
@@ -905,7 +1078,9 @@ theorem ball_smul_ball (p : Seminorm 𝕜 E) (r₁ r₂ : ℝ) :
   exact
     mul_lt_mul'' (mem_ball_zero_iff.mp ha) (p.mem_ball_zero.mp hy) (norm_nonneg a) (map_nonneg p y)
 #align seminorm.ball_smul_ball Seminorm.ball_smul_ball
+-/
 
+#print Seminorm.closedBall_smul_closedBall /-
 theorem closedBall_smul_closedBall (p : Seminorm 𝕜 E) (r₁ r₂ : ℝ) :
     Metric.closedBall (0 : 𝕜) r₁ • p.closedBall 0 r₂ ⊆ p.closedBall 0 (r₁ * r₂) :=
   by
@@ -917,7 +1092,9 @@ theorem closedBall_smul_closedBall (p : Seminorm 𝕜 E) (r₁ r₂ : ℝ) :
   rw [mem_closedBall_zero_iff] at ha 
   exact mul_le_mul ha (p.mem_closed_ball_zero.mp hy) (map_nonneg _ y) ((norm_nonneg a).trans ha)
 #align seminorm.closed_ball_smul_closed_ball Seminorm.closedBall_smul_closedBall
+-/
 
+#print Seminorm.ball_eq_emptyset /-
 @[simp]
 theorem ball_eq_emptyset (p : Seminorm 𝕜 E) {x : E} {r : ℝ} (hr : r ≤ 0) : p.ball x r = ∅ :=
   by
@@ -925,7 +1102,9 @@ theorem ball_eq_emptyset (p : Seminorm 𝕜 E) {x : E} {r : ℝ} (hr : r ≤ 0)
   rw [Seminorm.mem_ball, Set.mem_empty_iff_false, iff_false_iff, not_lt]
   exact hr.trans (map_nonneg p _)
 #align seminorm.ball_eq_emptyset Seminorm.ball_eq_emptyset
+-/
 
+#print Seminorm.closedBall_eq_emptyset /-
 @[simp]
 theorem closedBall_eq_emptyset (p : Seminorm 𝕜 E) {x : E} {r : ℝ} (hr : r < 0) :
     p.closedBall x r = ∅ := by
@@ -933,6 +1112,7 @@ theorem closedBall_eq_emptyset (p : Seminorm 𝕜 E) {x : E} {r : ℝ} (hr : r <
   rw [Seminorm.mem_closedBall, Set.mem_empty_iff_false, iff_false_iff, not_le]
   exact hr.trans_le (map_nonneg _ _)
 #align seminorm.closed_ball_eq_emptyset Seminorm.closedBall_eq_emptyset
+-/
 
 end Module
 
@@ -945,6 +1125,7 @@ section NormedField
 variable [NormedField 𝕜] [AddCommGroup E] [Module 𝕜 E] (p : Seminorm 𝕜 E) {A B : Set E} {a : 𝕜}
   {r : ℝ} {x : E}
 
+#print Seminorm.ball_norm_mul_subset /-
 theorem ball_norm_mul_subset {p : Seminorm 𝕜 E} {k : 𝕜} {r : ℝ} :
     p.ball 0 (‖k‖ * r) ⊆ k • p.ball 0 r :=
   by
@@ -960,14 +1141,18 @@ theorem ball_norm_mul_subset {p : Seminorm 𝕜 E} {k : 𝕜} {r : ℝ} :
         div_self (ne_of_gt <| norm_pos_iff.mpr hk), one_mul]
     rw [← smul_assoc, smul_eq_mul, ← div_eq_mul_inv, div_self hk, one_smul]
 #align seminorm.ball_norm_mul_subset Seminorm.ball_norm_mul_subset
+-/
 
+#print Seminorm.smul_ball_zero /-
 theorem smul_ball_zero {p : Seminorm 𝕜 E} {k : 𝕜} {r : ℝ} (hk : k ≠ 0) :
     k • p.ball 0 r = p.ball 0 (‖k‖ * r) := by
   ext
   rw [mem_smul_set_iff_inv_smul_mem₀ hk, p.mem_ball_zero, p.mem_ball_zero, map_smul_eq_mul,
     norm_inv, ← div_eq_inv_mul, div_lt_iff (norm_pos_iff.2 hk), mul_comm]
 #align seminorm.smul_ball_zero Seminorm.smul_ball_zero
+-/
 
+#print Seminorm.smul_closedBall_subset /-
 theorem smul_closedBall_subset {p : Seminorm 𝕜 E} {k : 𝕜} {r : ℝ} :
     k • p.closedBall 0 r ⊆ p.closedBall 0 (‖k‖ * r) :=
   by
@@ -976,7 +1161,9 @@ theorem smul_closedBall_subset {p : Seminorm 𝕜 E} {k : 𝕜} {r : ℝ} :
   rw [Seminorm.mem_closedBall_zero] at hy 
   exact mul_le_mul_of_nonneg_left hy (norm_nonneg _)
 #align seminorm.smul_closed_ball_subset Seminorm.smul_closedBall_subset
+-/
 
+#print Seminorm.smul_closedBall_zero /-
 theorem smul_closedBall_zero {p : Seminorm 𝕜 E} {k : 𝕜} {r : ℝ} (hk : 0 < ‖k‖) :
     k • p.closedBall 0 r = p.closedBall 0 (‖k‖ * r) :=
   by
@@ -989,7 +1176,9 @@ theorem smul_closedBall_zero {p : Seminorm 𝕜 E} {k : 𝕜} {r : ℝ} (hk : 0
       ← div_eq_mul_inv ‖k‖ ‖k‖, div_self (ne_of_gt hk), one_mul]
   rw [← smul_assoc, smul_eq_mul, ← div_eq_mul_inv, div_self (norm_pos_iff.mp hk), one_smul]
 #align seminorm.smul_closed_ball_zero Seminorm.smul_closedBall_zero
+-/
 
+#print Seminorm.ball_zero_absorbs_ball_zero /-
 theorem ball_zero_absorbs_ball_zero (p : Seminorm 𝕜 E) {r₁ r₂ : ℝ} (hr₁ : 0 < r₁) :
     Absorbs 𝕜 (p.ball 0 r₁) (p.ball 0 r₂) :=
   by
@@ -999,19 +1188,25 @@ theorem ball_zero_absorbs_ball_zero (p : Seminorm 𝕜 E) {r₁ r₂ : ℝ} (hr
   rw [p.mem_ball_zero] at hx 
   exact hx.trans (hr.trans_le <| mul_le_mul_of_nonneg_right ha hr₁.le)
 #align seminorm.ball_zero_absorbs_ball_zero Seminorm.ball_zero_absorbs_ball_zero
+-/
 
+#print Seminorm.absorbent_ball_zero /-
 /-- Seminorm-balls at the origin are absorbent. -/
 protected theorem absorbent_ball_zero (hr : 0 < r) : Absorbent 𝕜 (ball p (0 : E) r) :=
   absorbent_iff_forall_absorbs_singleton.2 fun x =>
     (p.ball_zero_absorbs_ball_zero hr).mono_right <|
       singleton_subset_iff.2 <| p.mem_ball_zero.2 <| lt_add_one _
 #align seminorm.absorbent_ball_zero Seminorm.absorbent_ball_zero
+-/
 
+#print Seminorm.absorbent_closedBall_zero /-
 /-- Closed seminorm-balls at the origin are absorbent. -/
 protected theorem absorbent_closedBall_zero (hr : 0 < r) : Absorbent 𝕜 (closedBall p (0 : E) r) :=
   (p.absorbent_ball_zero hr).Subset (p.ball_subset_closedBall _ _)
 #align seminorm.absorbent_closed_ball_zero Seminorm.absorbent_closedBall_zero
+-/
 
+#print Seminorm.absorbent_ball /-
 /-- Seminorm-balls containing the origin are absorbent. -/
 protected theorem absorbent_ball (hpr : p x < r) : Absorbent 𝕜 (ball p x r) :=
   by
@@ -1019,7 +1214,9 @@ protected theorem absorbent_ball (hpr : p x < r) : Absorbent 𝕜 (ball p x r) :
   rw [p.mem_ball_zero] at hy 
   exact p.mem_ball.2 ((map_sub_le_add p _ _).trans_lt <| add_lt_of_lt_sub_right hy)
 #align seminorm.absorbent_ball Seminorm.absorbent_ball
+-/
 
+#print Seminorm.absorbent_closedBall /-
 /-- Seminorm-balls containing the origin are absorbent. -/
 protected theorem absorbent_closedBall (hpr : p x < r) : Absorbent 𝕜 (closedBall p x r) :=
   by
@@ -1027,16 +1224,22 @@ protected theorem absorbent_closedBall (hpr : p x < r) : Absorbent 𝕜 (closedB
   rw [p.mem_closed_ball_zero] at hy 
   exact p.mem_closed_ball.2 ((map_sub_le_add p _ _).trans <| add_le_of_le_sub_right hy)
 #align seminorm.absorbent_closed_ball Seminorm.absorbent_closedBall
+-/
 
+#print Seminorm.symmetric_ball_zero /-
 theorem symmetric_ball_zero (r : ℝ) (hx : x ∈ ball p 0 r) : -x ∈ ball p 0 r :=
   balanced_ball_zero p r (-1) (by rw [norm_neg, norm_one]) ⟨x, hx, by rw [neg_smul, one_smul]⟩
 #align seminorm.symmetric_ball_zero Seminorm.symmetric_ball_zero
+-/
 
+#print Seminorm.neg_ball /-
 @[simp]
 theorem neg_ball (p : Seminorm 𝕜 E) (r : ℝ) (x : E) : -ball p x r = ball p (-x) r := by ext;
   rw [mem_neg, mem_ball, mem_ball, ← neg_add', sub_neg_eq_add, map_neg_eq_map]
 #align seminorm.neg_ball Seminorm.neg_ball
+-/
 
+#print Seminorm.smul_ball_preimage /-
 @[simp]
 theorem smul_ball_preimage (p : Seminorm 𝕜 E) (y : E) (r : ℝ) (a : 𝕜) (ha : a ≠ 0) :
     (· • ·) a ⁻¹' p.ball y r = p.ball (a⁻¹ • y) (r / ‖a‖) :=
@@ -1044,6 +1247,7 @@ theorem smul_ball_preimage (p : Seminorm 𝕜 E) (y : E) (r : ℝ) (a : 𝕜) (h
     rw [mem_preimage, mem_ball, mem_ball, lt_div_iff (norm_pos_iff.mpr ha), mul_comm, ←
       map_smul_eq_mul p, smul_sub, smul_inv_smul₀ ha]
 #align seminorm.smul_ball_preimage Seminorm.smul_ball_preimage
+-/
 
 end NormedField
 
@@ -1055,6 +1259,7 @@ section SMul
 
 variable [SMul ℝ E] [IsScalarTower ℝ 𝕜 E] (p : Seminorm 𝕜 E)
 
+#print Seminorm.convexOn /-
 /-- A seminorm is convex. Also see `convex_on_norm`. -/
 protected theorem convexOn : ConvexOn ℝ univ p :=
   by
@@ -1067,6 +1272,7 @@ protected theorem convexOn : ConvexOn ℝ univ p :=
       rw [norm_smul, norm_smul, norm_one, mul_one, mul_one, Real.norm_of_nonneg ha,
         Real.norm_of_nonneg hb]
 #align seminorm.convex_on Seminorm.convexOn
+-/
 
 end SMul
 
@@ -1103,28 +1309,36 @@ section RestrictScalars
 variable (𝕜) {𝕜' : Type _} [NormedField 𝕜] [SeminormedRing 𝕜'] [NormedAlgebra 𝕜 𝕜']
   [NormOneClass 𝕜'] [AddCommGroup E] [Module 𝕜' E] [SMul 𝕜 E] [IsScalarTower 𝕜 𝕜' E]
 
+#print Seminorm.restrictScalars /-
 /-- Reinterpret a seminorm over a field `𝕜'` as a seminorm over a smaller field `𝕜`. This will
 typically be used with `is_R_or_C 𝕜'` and `𝕜 = ℝ`. -/
 protected def restrictScalars (p : Seminorm 𝕜' E) : Seminorm 𝕜 E :=
   { p with
     smul' := fun a x => by rw [← smul_one_smul 𝕜' a x, p.smul', norm_smul, norm_one, mul_one] }
 #align seminorm.restrict_scalars Seminorm.restrictScalars
+-/
 
+#print Seminorm.coe_restrictScalars /-
 @[simp]
 theorem coe_restrictScalars (p : Seminorm 𝕜' E) : (p.restrictScalars 𝕜 : E → ℝ) = p :=
   rfl
 #align seminorm.coe_restrict_scalars Seminorm.coe_restrictScalars
+-/
 
+#print Seminorm.restrictScalars_ball /-
 @[simp]
 theorem restrictScalars_ball (p : Seminorm 𝕜' E) : (p.restrictScalars 𝕜).ball = p.ball :=
   rfl
 #align seminorm.restrict_scalars_ball Seminorm.restrictScalars_ball
+-/
 
+#print Seminorm.restrictScalars_closedBall /-
 @[simp]
 theorem restrictScalars_closedBall (p : Seminorm 𝕜' E) :
     (p.restrictScalars 𝕜).closedBall = p.closedBall :=
   rfl
 #align seminorm.restrict_scalars_closed_ball Seminorm.restrictScalars_closedBall
+-/
 
 end RestrictScalars
 
@@ -1137,6 +1351,7 @@ variable [NontriviallyNormedField 𝕜] [SeminormedRing 𝕝] [AddCommGroup E] [
 
 variable [Module 𝕝 E]
 
+#print Seminorm.continuousAt_zero' /-
 theorem continuousAt_zero' [TopologicalSpace E] [ContinuousConstSMul 𝕜 E] {p : Seminorm 𝕜 E} {r : ℝ}
     (hr : 0 < r) (hp : p.closedBall 0 r ∈ (𝓝 0 : Filter E)) : ContinuousAt p 0 :=
   by
@@ -1152,12 +1367,16 @@ theorem continuousAt_zero' [TopologicalSpace E] [ContinuousConstSMul 𝕜 E] {p
   rw [mem_closed_ball_zero, map_smul_eq_mul, ← div_mul_cancel ε hr.ne.symm]
   exact mul_le_mul hkε.le (p.mem_closed_ball_zero.mp hx) (map_nonneg _ _) (div_nonneg hε.le hr.le)
 #align seminorm.continuous_at_zero' Seminorm.continuousAt_zero'
+-/
 
+#print Seminorm.continuousAt_zero /-
 theorem continuousAt_zero [TopologicalSpace E] [ContinuousConstSMul 𝕜 E] {p : Seminorm 𝕜 E} {r : ℝ}
     (hr : 0 < r) (hp : p.ball 0 r ∈ (𝓝 0 : Filter E)) : ContinuousAt p 0 :=
   continuousAt_zero' hr (Filter.mem_of_superset hp <| p.ball_subset_closedBall _ _)
 #align seminorm.continuous_at_zero Seminorm.continuousAt_zero
+-/
 
+#print Seminorm.uniformContinuous_of_continuousAt_zero /-
 protected theorem uniformContinuous_of_continuousAt_zero [UniformSpace E] [UniformAddGroup E]
     {p : Seminorm 𝕝 E} (hp : ContinuousAt p 0) : UniformContinuous p :=
   by
@@ -1168,7 +1387,9 @@ protected theorem uniformContinuous_of_continuousAt_zero [UniformSpace E] [Unifo
     tendsto_of_tendsto_of_tendsto_of_le_of_le tendsto_const_nhds (hp.comp Filter.tendsto_comap)
       (fun xy => dist_nonneg) fun xy => p.norm_sub_map_le_sub _ _
 #align seminorm.uniform_continuous_of_continuous_at_zero Seminorm.uniformContinuous_of_continuousAt_zero
+-/
 
+#print Seminorm.continuous_of_continuousAt_zero /-
 protected theorem continuous_of_continuousAt_zero [TopologicalSpace E] [TopologicalAddGroup E]
     {p : Seminorm 𝕝 E} (hp : ContinuousAt p 0) : Continuous p :=
   by
@@ -1176,30 +1397,40 @@ protected theorem continuous_of_continuousAt_zero [TopologicalSpace E] [Topologi
   haveI : UniformAddGroup E := comm_topologicalAddGroup_is_uniform
   exact (Seminorm.uniformContinuous_of_continuousAt_zero hp).Continuous
 #align seminorm.continuous_of_continuous_at_zero Seminorm.continuous_of_continuousAt_zero
+-/
 
+#print Seminorm.uniformContinuous /-
 protected theorem uniformContinuous [UniformSpace E] [UniformAddGroup E] [ContinuousConstSMul 𝕜 E]
     {p : Seminorm 𝕜 E} {r : ℝ} (hr : 0 < r) (hp : p.ball 0 r ∈ (𝓝 0 : Filter E)) :
     UniformContinuous p :=
   Seminorm.uniformContinuous_of_continuousAt_zero (continuousAt_zero hr hp)
 #align seminorm.uniform_continuous Seminorm.uniformContinuous
+-/
 
+#print Seminorm.uniform_continuous' /-
 protected theorem uniform_continuous' [UniformSpace E] [UniformAddGroup E] [ContinuousConstSMul 𝕜 E]
     {p : Seminorm 𝕜 E} {r : ℝ} (hr : 0 < r) (hp : p.closedBall 0 r ∈ (𝓝 0 : Filter E)) :
     UniformContinuous p :=
   Seminorm.uniformContinuous_of_continuousAt_zero (continuousAt_zero' hr hp)
 #align seminorm.uniform_continuous' Seminorm.uniform_continuous'
+-/
 
+#print Seminorm.continuous /-
 protected theorem continuous [TopologicalSpace E] [TopologicalAddGroup E] [ContinuousConstSMul 𝕜 E]
     {p : Seminorm 𝕜 E} {r : ℝ} (hr : 0 < r) (hp : p.ball 0 r ∈ (𝓝 0 : Filter E)) : Continuous p :=
   Seminorm.continuous_of_continuousAt_zero (continuousAt_zero hr hp)
 #align seminorm.continuous Seminorm.continuous
+-/
 
+#print Seminorm.continuous' /-
 protected theorem continuous' [TopologicalSpace E] [TopologicalAddGroup E] [ContinuousConstSMul 𝕜 E]
     {p : Seminorm 𝕜 E} {r : ℝ} (hr : 0 < r) (hp : p.closedBall 0 r ∈ (𝓝 0 : Filter E)) :
     Continuous p :=
   Seminorm.continuous_of_continuousAt_zero (continuousAt_zero' hr hp)
 #align seminorm.continuous' Seminorm.continuous'
+-/
 
+#print Seminorm.continuous_of_le /-
 theorem continuous_of_le [TopologicalSpace E] [TopologicalAddGroup E] [ContinuousConstSMul 𝕜 E]
     {p q : Seminorm 𝕜 E} (hq : Continuous q) (hpq : p ≤ q) : Continuous p :=
   by
@@ -1210,6 +1441,7 @@ theorem continuous_of_le [TopologicalSpace E] [TopologicalAddGroup E] [Continuou
   rw [ball_zero_eq]
   exact isOpen_lt hq continuous_const
 #align seminorm.continuous_of_le Seminorm.continuous_of_le
+-/
 
 end Continuity
 
@@ -1229,10 +1461,12 @@ def normSeminorm : Seminorm 𝕜 E :=
 #align norm_seminorm normSeminorm
 -/
 
+#print coe_normSeminorm /-
 @[simp]
 theorem coe_normSeminorm : ⇑(normSeminorm 𝕜 E) = norm :=
   rfl
 #align coe_norm_seminorm coe_normSeminorm
+-/
 
 #print ball_normSeminorm /-
 @[simp]
@@ -1243,20 +1477,26 @@ theorem ball_normSeminorm : (normSeminorm 𝕜 E).ball = Metric.ball := by ext (
 
 variable {𝕜 E} {x : E}
 
+#print absorbent_ball_zero /-
 /-- Balls at the origin are absorbent. -/
 theorem absorbent_ball_zero (hr : 0 < r) : Absorbent 𝕜 (Metric.ball (0 : E) r) := by
   rw [← ball_normSeminorm 𝕜]; exact (normSeminorm _ _).absorbent_ball_zero hr
 #align absorbent_ball_zero absorbent_ball_zero
+-/
 
+#print absorbent_ball /-
 /-- Balls containing the origin are absorbent. -/
 theorem absorbent_ball (hx : ‖x‖ < r) : Absorbent 𝕜 (Metric.ball x r) := by
   rw [← ball_normSeminorm 𝕜]; exact (normSeminorm _ _).absorbent_ball hx
 #align absorbent_ball absorbent_ball
+-/
 
+#print balanced_ball_zero /-
 /-- Balls at the origin are balanced. -/
 theorem balanced_ball_zero : Balanced 𝕜 (Metric.ball (0 : E) r) := by rw [← ball_normSeminorm 𝕜];
   exact (normSeminorm _ _).balanced_ball_zero r
 #align balanced_ball_zero balanced_ball_zero
+-/
 
 end normSeminorm
 

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

@@ -852,7 +852,6 @@ theorem balanced_ball_zero (r : ℝ) : Balanced 𝕜 (ball p 0 r) :=
   calc
     _ ≤ p y := mul_le_of_le_one_left (map_nonneg p _) ha
     _ < r := by rwa [mem_ball_zero] at hy 
-    
 #align seminorm.balanced_ball_zero Seminorm.balanced_ball_zero
 
 /-- Closed seminorm-balls at the origin are balanced. -/
@@ -863,7 +862,6 @@ theorem balanced_closedBall_zero (r : ℝ) : Balanced 𝕜 (closedBall p 0 r) :=
   calc
     _ ≤ p y := mul_le_of_le_one_left (map_nonneg p _) ha
     _ ≤ r := by rwa [mem_closed_ball_zero] at hy 
-    
 #align seminorm.balanced_closed_ball_zero Seminorm.balanced_closedBall_zero
 
 theorem ball_finset_sup_eq_iInter (p : ι → Seminorm 𝕜 E) (s : Finset ι) (x : E) {r : ℝ}
@@ -1068,7 +1066,6 @@ protected theorem convexOn : ConvexOn ℝ univ p :=
     _ = a * p x + b * p y := by
       rw [norm_smul, norm_smul, norm_one, mul_one, mul_one, Real.norm_of_nonneg ha,
         Real.norm_of_nonneg hb]
-    
 #align seminorm.convex_on Seminorm.convexOn
 
 end SMul

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

@@ -405,10 +405,10 @@ theorem finset_sup_apply (p : ι → Seminorm 𝕜 E) (s : Finset ι) (x : E) :
 
 theorem finset_sup_le_sum (p : ι → Seminorm 𝕜 E) (s : Finset ι) : s.sup p ≤ ∑ i in s, p i := by
   classical
-    refine' finset.sup_le_iff.mpr _
-    intro i hi
-    rw [Finset.sum_eq_sum_diff_singleton_add hi, le_add_iff_nonneg_left]
-    exact bot_le
+  refine' finset.sup_le_iff.mpr _
+  intro i hi
+  rw [Finset.sum_eq_sum_diff_singleton_add hi, le_add_iff_nonneg_left]
+  exact bot_le
 #align seminorm.finset_sup_le_sum Seminorm.finset_sup_le_sum
 
 theorem finset_sup_apply_le {p : ι → Seminorm 𝕜 E} {s : Finset ι} {x : E} {a : ℝ} (ha : 0 ≤ a)
@@ -634,7 +634,7 @@ variable [SMul 𝕜 E] (p : Seminorm 𝕜 E)
 /-- The ball of radius `r` at `x` with respect to seminorm `p` is the set of elements `y` with
 `p (y - x) < r`. -/
 def ball (x : E) (r : ℝ) :=
-  { y : E | p (y - x) < r }
+  {y : E | p (y - x) < r}
 #align seminorm.ball Seminorm.ball
 -/
 
@@ -642,7 +642,7 @@ def ball (x : E) (r : ℝ) :=
 /-- The closed ball of radius `r` at `x` with respect to seminorm `p` is the set of elements `y`
 with `p (y - x) ≤ r`. -/
 def closedBall (x : E) (r : ℝ) :=
-  { y : E | p (y - x) ≤ r }
+  {y : E | p (y - x) ≤ r}
 #align seminorm.closed_ball Seminorm.closedBall
 -/
 
@@ -670,11 +670,11 @@ theorem mem_ball_zero : y ∈ ball p 0 r ↔ p y < r := by rw [mem_ball, sub_zer
 theorem mem_closedBall_zero : y ∈ closedBall p 0 r ↔ p y ≤ r := by rw [mem_closed_ball, sub_zero]
 #align seminorm.mem_closed_ball_zero Seminorm.mem_closedBall_zero
 
-theorem ball_zero_eq : ball p 0 r = { y : E | p y < r } :=
+theorem ball_zero_eq : ball p 0 r = {y : E | p y < r} :=
   Set.ext fun x => p.mem_ball_zero
 #align seminorm.ball_zero_eq Seminorm.ball_zero_eq
 
-theorem closedBall_zero_eq : closedBall p 0 r = { y : E | p y ≤ r } :=
+theorem closedBall_zero_eq : closedBall p 0 r = {y : E | p y ≤ r} :=
   Set.ext fun x => p.mem_closedBall_zero
 #align seminorm.closed_ball_zero_eq Seminorm.closedBall_zero_eq
 
@@ -811,13 +811,13 @@ theorem closedBall_comp (p : Seminorm 𝕜₂ E₂) (f : E →ₛₗ[σ₁₂] E
 
 variable (p : Seminorm 𝕜 E)
 
-theorem preimage_metric_ball {r : ℝ} : p ⁻¹' Metric.ball 0 r = { x | p x < r } :=
+theorem preimage_metric_ball {r : ℝ} : p ⁻¹' Metric.ball 0 r = {x | p x < r} :=
   by
   ext x
   simp only [mem_set_of, mem_preimage, mem_ball_zero_iff, Real.norm_of_nonneg (map_nonneg p _)]
 #align seminorm.preimage_metric_ball Seminorm.preimage_metric_ball
 
-theorem preimage_metric_closedBall {r : ℝ} : p ⁻¹' Metric.closedBall 0 r = { x | p x ≤ r } :=
+theorem preimage_metric_closedBall {r : ℝ} : p ⁻¹' Metric.closedBall 0 r = {x | p x ≤ r} :=
   by
   ext x
   simp only [mem_set_of, mem_preimage, mem_closedBall_zero_iff,
@@ -1081,7 +1081,7 @@ variable [Module ℝ E] [IsScalarTower ℝ 𝕜 E] (p : Seminorm 𝕜 E) (x : E)
 /-- Seminorm-balls are convex. -/
 theorem convex_ball : Convex ℝ (ball p x r) :=
   by
-  convert(p.convex_on.translate_left (-x)).convex_lt r
+  convert (p.convex_on.translate_left (-x)).convex_lt r
   ext y
   rw [preimage_univ, sep_univ, p.mem_ball, sub_eq_add_neg]
   rfl

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

@@ -52,7 +52,7 @@ variable {R R' 𝕜 𝕜₂ 𝕜₃ 𝕝 E E₂ E₃ F G ι : Type _}
 /-- A seminorm on a module over a normed ring is a function to the reals that is positive
 semidefinite, positive homogeneous, and subadditive. -/
 structure Seminorm (𝕜 : Type _) (E : Type _) [SeminormedRing 𝕜] [AddGroup E] [SMul 𝕜 E] extends
-  AddGroupSeminorm E where
+    AddGroupSeminorm E where
   smul' : ∀ (a : 𝕜) (x : E), to_fun (a • x) = ‖a‖ * to_fun x
 #align seminorm Seminorm
 -/
@@ -64,7 +64,7 @@ attribute [nolint doc_blame] Seminorm.toAddGroupSeminorm
 
 You should extend this class when you extend `seminorm`. -/
 class SeminormClass (F : Type _) (𝕜 E : outParam <| Type _) [SeminormedRing 𝕜] [AddGroup E]
-  [SMul 𝕜 E] extends AddGroupSeminormClass F E ℝ where
+    [SMul 𝕜 E] extends AddGroupSeminormClass F E ℝ where
   map_smul_eq_mul (f : F) (a : 𝕜) (x : E) : f (a • x) = ‖a‖ * f x
 #align seminorm_class SeminormClass
 -/
@@ -101,7 +101,7 @@ def Seminorm.ofSMulLE [NormedField 𝕜] [AddCommGroup E] [Module 𝕜 E] (f : E
     rw [← mul_le_mul_left (inv_pos.mpr (norm_pos_iff.mpr h))]
     rw [inv_mul_cancel_left₀ (norm_ne_zero_iff.mpr h)]
     specialize smul_le r⁻¹ (r • x)
-    rw [norm_inv] at smul_le
+    rw [norm_inv] at smul_le 
     convert smul_le
     simp [h]
 #align seminorm.of_smul_le Seminorm.ofSMulLE
@@ -851,7 +851,7 @@ theorem balanced_ball_zero (r : ℝ) : Balanced 𝕜 (ball p 0 r) :=
   rw [mem_ball_zero, ← hx, map_smul_eq_mul]
   calc
     _ ≤ p y := mul_le_of_le_one_left (map_nonneg p _) ha
-    _ < r := by rwa [mem_ball_zero] at hy
+    _ < r := by rwa [mem_ball_zero] at hy 
     
 #align seminorm.balanced_ball_zero Seminorm.balanced_ball_zero
 
@@ -862,7 +862,7 @@ theorem balanced_closedBall_zero (r : ℝ) : Balanced 𝕜 (closedBall p 0 r) :=
   rw [mem_closed_ball_zero, ← hx, map_smul_eq_mul]
   calc
     _ ≤ p y := mul_le_of_le_one_left (map_nonneg p _) ha
-    _ ≤ r := by rwa [mem_closed_ball_zero] at hy
+    _ ≤ r := by rwa [mem_closed_ball_zero] at hy 
     
 #align seminorm.balanced_closed_ball_zero Seminorm.balanced_closedBall_zero
 
@@ -901,7 +901,7 @@ theorem ball_smul_ball (p : Seminorm 𝕜 E) (r₁ r₂ : ℝ) :
   by
   rw [Set.subset_def]
   intro x hx
-  rw [Set.mem_smul] at hx
+  rw [Set.mem_smul] at hx 
   rcases hx with ⟨a, y, ha, hy, hx⟩
   rw [← hx, mem_ball_zero, map_smul_eq_mul]
   exact
@@ -913,10 +913,10 @@ theorem closedBall_smul_closedBall (p : Seminorm 𝕜 E) (r₁ r₂ : ℝ) :
   by
   rw [Set.subset_def]
   intro x hx
-  rw [Set.mem_smul] at hx
+  rw [Set.mem_smul] at hx 
   rcases hx with ⟨a, y, ha, hy, hx⟩
   rw [← hx, mem_closed_ball_zero, map_smul_eq_mul]
-  rw [mem_closedBall_zero_iff] at ha
+  rw [mem_closedBall_zero_iff] at ha 
   exact mul_le_mul ha (p.mem_closed_ball_zero.mp hy) (map_nonneg _ y) ((norm_nonneg a).trans ha)
 #align seminorm.closed_ball_smul_closed_ball Seminorm.closedBall_smul_closedBall
 
@@ -975,7 +975,7 @@ theorem smul_closedBall_subset {p : Seminorm 𝕜 E} {k : 𝕜} {r : ℝ} :
   by
   rintro x ⟨y, hy, h⟩
   rw [Seminorm.mem_closedBall_zero, ← h, map_smul_eq_mul]
-  rw [Seminorm.mem_closedBall_zero] at hy
+  rw [Seminorm.mem_closedBall_zero] at hy 
   exact mul_le_mul_of_nonneg_left hy (norm_nonneg _)
 #align seminorm.smul_closed_ball_subset Seminorm.smul_closedBall_subset
 
@@ -998,7 +998,7 @@ theorem ball_zero_absorbs_ball_zero (p : Seminorm 𝕜 E) {r₁ r₂ : ℝ} (hr
   rcases exists_pos_lt_mul hr₁ r₂ with ⟨r, hr₀, hr⟩
   refine' ⟨r, hr₀, fun a ha x hx => _⟩
   rw [smul_ball_zero (norm_pos_iff.1 <| hr₀.trans_le ha), p.mem_ball_zero]
-  rw [p.mem_ball_zero] at hx
+  rw [p.mem_ball_zero] at hx 
   exact hx.trans (hr.trans_le <| mul_le_mul_of_nonneg_right ha hr₁.le)
 #align seminorm.ball_zero_absorbs_ball_zero Seminorm.ball_zero_absorbs_ball_zero
 
@@ -1018,7 +1018,7 @@ protected theorem absorbent_closedBall_zero (hr : 0 < r) : Absorbent 𝕜 (close
 protected theorem absorbent_ball (hpr : p x < r) : Absorbent 𝕜 (ball p x r) :=
   by
   refine' (p.absorbent_ball_zero <| sub_pos.2 hpr).Subset fun y hy => _
-  rw [p.mem_ball_zero] at hy
+  rw [p.mem_ball_zero] at hy 
   exact p.mem_ball.2 ((map_sub_le_add p _ _).trans_lt <| add_lt_of_lt_sub_right hy)
 #align seminorm.absorbent_ball Seminorm.absorbent_ball
 
@@ -1026,7 +1026,7 @@ protected theorem absorbent_ball (hpr : p x < r) : Absorbent 𝕜 (ball p x r) :
 protected theorem absorbent_closedBall (hpr : p x < r) : Absorbent 𝕜 (closedBall p x r) :=
   by
   refine' (p.absorbent_closed_ball_zero <| sub_pos.2 hpr).Subset fun y hy => _
-  rw [p.mem_closed_ball_zero] at hy
+  rw [p.mem_closed_ball_zero] at hy 
   exact p.mem_closed_ball.2 ((map_sub_le_add p _ _).trans <| add_le_of_le_sub_right hy)
 #align seminorm.absorbent_closed_ball Seminorm.absorbent_closedBall
 
@@ -1147,7 +1147,7 @@ theorem continuousAt_zero' [TopologicalSpace E] [ContinuousConstSMul 𝕜 E] {p
   intro ε hε
   rw [map_zero]
   suffices p.closed_ball 0 ε ∈ (𝓝 0 : Filter E) by
-    rwa [Seminorm.closedBall_zero_eq_preimage_closedBall] at this
+    rwa [Seminorm.closedBall_zero_eq_preimage_closedBall] at this 
   rcases exists_norm_lt 𝕜 (div_pos hε hr) with ⟨k, hk0, hkε⟩
   have hk0' := norm_pos_iff.mp hk0
   have := (set_smul_mem_nhds_zero_iff hk0').mpr hp

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

@@ -44,7 +44,7 @@ seminorm, locally convex, LCTVS
 
 open NormedField Set
 
-open BigOperators NNReal Pointwise Topology
+open scoped BigOperators NNReal Pointwise Topology
 
 variable {R R' 𝕜 𝕜₂ 𝕜₃ 𝕝 E E₂ E₃ F G ι : Type _}
 
@@ -511,7 +511,7 @@ theorem smul_inf [SMul R ℝ] [SMul R ℝ≥0] [IsScalarTower R ℝ≥0 ℝ] (r
 
 section Classical
 
-open Classical
+open scoped Classical
 
 /- ./././Mathport/Syntax/Translate/Tactic/Builtin.lean:73:14: unsupported tactic `congrm #[[expr «expr⨆ , »((i), _)]] -/
 /- ./././Mathport/Syntax/Translate/Tactic/Builtin.lean:73:14: unsupported tactic `congrm #[[expr «expr⨆ , »((i), _)]] -/

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

@@ -76,12 +76,6 @@ attribute [nolint dangerous_instance] SeminormClass.toAddGroupSeminormClass
 
 section Of
 
-/- warning: seminorm.of -> Seminorm.of is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (f : E -> Real), (forall (x : E) (y : E), LE.le.{0} Real Real.hasLe (f (HAdd.hAdd.{u2, u2, u2} E E E (instHAdd.{u2} E (AddZeroClass.toHasAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)))))) x y)) (HAdd.hAdd.{0, 0, 0} Real Real Real (instHAdd.{0} Real Real.hasAdd) (f x) (f y))) -> (forall (a : 𝕜) (x : E), Eq.{1} Real (f (SMul.smul.{u1, u2} 𝕜 E (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) a x)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) (Norm.norm.{u1} 𝕜 (SeminormedRing.toHasNorm.{u1} 𝕜 _inst_1) a) (f x))) -> (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))
-but is expected to have type
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (f : E -> Real), (forall (x : E) (y : E), LE.le.{0} Real Real.instLEReal (f (HAdd.hAdd.{u2, u2, u2} E E E (instHAdd.{u2} E (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)))))) x y)) (HAdd.hAdd.{0, 0, 0} Real Real Real (instHAdd.{0} Real Real.instAddReal) (f x) (f y))) -> (forall (a : 𝕜) (x : E), Eq.{1} Real (f (HSMul.hSMul.{u1, u2, u2} 𝕜 E E (instHSMul.{u1, u2} 𝕜 E (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) a x)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (Norm.norm.{u1} 𝕜 (SeminormedRing.toNorm.{u1} 𝕜 _inst_1) a) (f x))) -> (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))
-Case conversion may be inaccurate. Consider using '#align seminorm.of Seminorm.ofₓ'. -/
 /-- Alternative constructor for a `seminorm` on an `add_comm_group E` that is a module over a
 `semi_norm_ring 𝕜`. -/
 def Seminorm.of [SeminormedRing 𝕜] [AddCommGroup E] [Module 𝕜 E] (f : E → ℝ)
@@ -94,12 +88,6 @@ def Seminorm.of [SeminormedRing 𝕜] [AddCommGroup E] [Module 𝕜 E] (f : E 
   neg' x := by rw [← neg_one_smul 𝕜, smul, norm_neg, ← smul, one_smul]
 #align seminorm.of Seminorm.of
 
-/- warning: seminorm.of_smul_le -> Seminorm.ofSMulLE is a dubious translation:
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-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (f : E -> Real), (Eq.{1} Real (f (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2)))))))) (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal))) -> (forall (x : E) (y : E), LE.le.{0} Real Real.instLEReal (f (HAdd.hAdd.{u2, u2, u2} E E E (instHAdd.{u2} E (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)))))) x y)) (HAdd.hAdd.{0, 0, 0} Real Real Real (instHAdd.{0} Real Real.instAddReal) (f x) (f y))) -> (forall (r : 𝕜) (x : E), LE.le.{0} Real Real.instLEReal (f (HSMul.hSMul.{u1, u2, u2} 𝕜 E E (instHSMul.{u1, u2} 𝕜 E (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) r x)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (Norm.norm.{u1} 𝕜 (NormedField.toNorm.{u1} 𝕜 _inst_1) r) (f x))) -> (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))
-Case conversion may be inaccurate. Consider using '#align seminorm.of_smul_le Seminorm.ofSMulLEₓ'. -/
 /-- Alternative constructor for a `seminorm` over a normed field `𝕜` that only assumes `f 0 = 0`
 and an inequality for the scalar multiplication. -/
 def Seminorm.ofSMulLE [NormedField 𝕜] [AddCommGroup E] [Module 𝕜 E] (f : E → ℝ) (map_zero : f 0 = 0)
@@ -150,12 +138,6 @@ instance instSeminormClass : SeminormClass (Seminorm 𝕜 E) 𝕜 E
 instance : CoeFun (Seminorm 𝕜 E) fun _ => E → ℝ :=
   FunLike.hasCoeToFun
 
-/- warning: seminorm.ext -> Seminorm.ext is a dubious translation:
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 @[ext]
 theorem ext {p q : Seminorm 𝕜 E} (h : ∀ x, (p : E → ℝ) x = q x) : p = q :=
   FunLike.ext p q h
@@ -164,23 +146,11 @@ theorem ext {p q : Seminorm 𝕜 E} (h : ∀ x, (p : E → ℝ) x = q x) : p = q
 instance : Zero (Seminorm 𝕜 E) :=
   ⟨{ AddGroupSeminorm.hasZero.zero with smul' := fun _ _ => (MulZeroClass.mul_zero _).symm }⟩
 
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 @[simp]
 theorem coe_zero : ⇑(0 : Seminorm 𝕜 E) = 0 :=
   rfl
 #align seminorm.coe_zero Seminorm.coe_zero
 
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 @[simp]
 theorem zero_apply (x : E) : (0 : Seminorm 𝕜 E) x = 0 :=
   rfl
@@ -205,20 +175,11 @@ instance [SMul R ℝ] [SMul R ℝ≥0] [IsScalarTower R ℝ≥0 ℝ] [SMul R' 
     [IsScalarTower R' ℝ≥0 ℝ] [SMul R R'] [IsScalarTower R R' ℝ] : IsScalarTower R R' (Seminorm 𝕜 E)
     where smul_assoc r a p := ext fun x => smul_assoc r a (p x)
 
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-Case conversion may be inaccurate. Consider using '#align seminorm.coe_smul Seminorm.coe_smulₓ'. -/
 theorem coe_smul [SMul R ℝ] [SMul R ℝ≥0] [IsScalarTower R ℝ≥0 ℝ] (r : R) (p : Seminorm 𝕜 E) :
     ⇑(r • p) = r • p :=
   rfl
 #align seminorm.coe_smul Seminorm.coe_smul
 
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-<too large>
-Case conversion may be inaccurate. Consider using '#align seminorm.smul_apply Seminorm.smul_applyₓ'. -/
 @[simp]
 theorem smul_apply [SMul R ℝ] [SMul R ℝ≥0] [IsScalarTower R ℝ≥0 ℝ] (r : R) (p : Seminorm 𝕜 E)
     (x : E) : (r • p) x = r • p x :=
@@ -233,22 +194,10 @@ instance : Add (Seminorm 𝕜 E)
       toFun := fun x => p x + q x
       smul' := fun a x => by simp only [map_smul_eq_mul, map_smul_eq_mul, mul_add] }
 
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 theorem coe_add (p q : Seminorm 𝕜 E) : ⇑(p + q) = p + q :=
   rfl
 #align seminorm.coe_add Seminorm.coe_add
 
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 @[simp]
 theorem add_apply (p q : Seminorm 𝕜 E) (x : E) : (p + q) x = p x + q x :=
   rfl
@@ -266,12 +215,6 @@ instance [Monoid R] [MulAction R ℝ] [SMul R ℝ≥0] [IsScalarTower R ℝ≥0
 
 variable (𝕜 E)
 
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 /-- `coe_fn` as an `add_monoid_hom`. Helper definition for showing that `seminorm 𝕜 E` is
 a module. -/
 @[simps]
@@ -279,12 +222,6 @@ def coeFnAddMonoidHom : AddMonoidHom (Seminorm 𝕜 E) (E → ℝ) :=
   ⟨coeFn, coe_zero, coe_add⟩
 #align seminorm.coe_fn_add_monoid_hom Seminorm.coeFnAddMonoidHom
 
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 theorem coeFnAddMonoidHom_injective : Function.Injective (coeFnAddMonoidHom 𝕜 E) :=
   show @Function.Injective (Seminorm 𝕜 E) (E → ℝ) coeFn from FunLike.coe_injective
 #align seminorm.coe_fn_add_monoid_hom_injective Seminorm.coeFnAddMonoidHom_injective
@@ -307,33 +244,15 @@ instance : Sup (Seminorm 𝕜 E)
         (congr_arg₂ max (map_smul_eq_mul p x v) (map_smul_eq_mul q x v)).trans <|
           (mul_max_of_nonneg _ _ <| norm_nonneg x).symm }
 
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 @[simp]
 theorem coe_sup (p q : Seminorm 𝕜 E) : ⇑(p ⊔ q) = p ⊔ q :=
   rfl
 #align seminorm.coe_sup Seminorm.coe_sup
 
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 theorem sup_apply (p q : Seminorm 𝕜 E) (x : E) : (p ⊔ q) x = p x ⊔ q x :=
   rfl
 #align seminorm.sup_apply Seminorm.sup_apply
 
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 theorem smul_sup [SMul R ℝ] [SMul R ℝ≥0] [IsScalarTower R ℝ≥0 ℝ] (r : R) (p q : Seminorm 𝕜 E) :
     r • (p ⊔ q) = r • p ⊔ r • q :=
   have real.smul_max : ∀ x y : ℝ, r • max x y = max (r • x) (r • y) := fun x y => by
@@ -345,44 +264,20 @@ theorem smul_sup [SMul R ℝ] [SMul R ℝ≥0] [IsScalarTower R ℝ≥0 ℝ] (r
 instance : PartialOrder (Seminorm 𝕜 E) :=
   PartialOrder.lift _ FunLike.coe_injective
 
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 @[simp, norm_cast]
 theorem coe_le_coe {p q : Seminorm 𝕜 E} : (p : E → ℝ) ≤ q ↔ p ≤ q :=
   Iff.rfl
 #align seminorm.coe_le_coe Seminorm.coe_le_coe
 
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 @[simp, norm_cast]
 theorem coe_lt_coe {p q : Seminorm 𝕜 E} : (p : E → ℝ) < q ↔ p < q :=
   Iff.rfl
 #align seminorm.coe_lt_coe Seminorm.coe_lt_coe
 
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 theorem le_def {p q : Seminorm 𝕜 E} : p ≤ q ↔ ∀ x, p x ≤ q x :=
   Iff.rfl
 #align seminorm.le_def Seminorm.le_def
 
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 theorem lt_def {p q : Seminorm 𝕜 E} : p < q ↔ p ≤ q ∧ ∃ x, p x < q x :=
   Pi.lt_def
 #align seminorm.lt_def Seminorm.lt_def
@@ -423,89 +318,53 @@ def comp (p : Seminorm 𝕜₂ E₂) (f : E →ₛₗ[σ₁₂] E₂) : Seminorm
 #align seminorm.comp Seminorm.comp
 -/
 
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 theorem coe_comp (p : Seminorm 𝕜₂ E₂) (f : E →ₛₗ[σ₁₂] E₂) : ⇑(p.comp f) = p ∘ f :=
   rfl
 #align seminorm.coe_comp Seminorm.coe_comp
 
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 @[simp]
 theorem comp_apply (p : Seminorm 𝕜₂ E₂) (f : E →ₛₗ[σ₁₂] E₂) (x : E) : (p.comp f) x = p (f x) :=
   rfl
 #align seminorm.comp_apply Seminorm.comp_apply
 
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 @[simp]
 theorem comp_id (p : Seminorm 𝕜 E) : p.comp LinearMap.id = p :=
   ext fun _ => rfl
 #align seminorm.comp_id Seminorm.comp_id
 
-/- warning: seminorm.comp_zero -> Seminorm.comp_zero is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align seminorm.comp_zero Seminorm.comp_zeroₓ'. -/
 @[simp]
 theorem comp_zero (p : Seminorm 𝕜₂ E₂) : p.comp (0 : E →ₛₗ[σ₁₂] E₂) = 0 :=
   ext fun _ => map_zero p
 #align seminorm.comp_zero Seminorm.comp_zero
 
-/- warning: seminorm.zero_comp -> Seminorm.zero_comp is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align seminorm.zero_comp Seminorm.zero_compₓ'. -/
 @[simp]
 theorem zero_comp (f : E →ₛₗ[σ₁₂] E₂) : (0 : Seminorm 𝕜₂ E₂).comp f = 0 :=
   ext fun _ => rfl
 #align seminorm.zero_comp Seminorm.zero_comp
 
-/- warning: seminorm.comp_comp -> Seminorm.comp_comp is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align seminorm.comp_comp Seminorm.comp_compₓ'. -/
 theorem comp_comp [RingHomCompTriple σ₁₂ σ₂₃ σ₁₃] (p : Seminorm 𝕜₃ E₃) (g : E₂ →ₛₗ[σ₂₃] E₃)
     (f : E →ₛₗ[σ₁₂] E₂) : p.comp (g.comp f) = (p.comp g).comp f :=
   ext fun _ => rfl
 #align seminorm.comp_comp Seminorm.comp_comp
 
-/- warning: seminorm.add_comp -> Seminorm.add_comp is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align seminorm.add_comp Seminorm.add_compₓ'. -/
 theorem add_comp (p q : Seminorm 𝕜₂ E₂) (f : E →ₛₗ[σ₁₂] E₂) :
     (p + q).comp f = p.comp f + q.comp f :=
   ext fun _ => rfl
 #align seminorm.add_comp Seminorm.add_comp
 
-/- warning: seminorm.comp_add_le -> Seminorm.comp_add_le is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align seminorm.comp_add_le Seminorm.comp_add_leₓ'. -/
 theorem comp_add_le (p : Seminorm 𝕜₂ E₂) (f g : E →ₛₗ[σ₁₂] E₂) :
     p.comp (f + g) ≤ p.comp f + p.comp g := fun _ => map_add_le_add p _ _
 #align seminorm.comp_add_le Seminorm.comp_add_le
 
-/- warning: seminorm.smul_comp -> Seminorm.smul_comp is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align seminorm.smul_comp Seminorm.smul_compₓ'. -/
 theorem smul_comp (p : Seminorm 𝕜₂ E₂) (f : E →ₛₗ[σ₁₂] E₂) (c : R) :
     (c • p).comp f = c • p.comp f :=
   ext fun _ => rfl
 #align seminorm.smul_comp Seminorm.smul_comp
 
-/- warning: seminorm.comp_mono -> Seminorm.comp_mono is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align seminorm.comp_mono Seminorm.comp_monoₓ'. -/
 theorem comp_mono {p q : Seminorm 𝕜₂ E₂} (f : E →ₛₗ[σ₁₂] E₂) (hp : p ≤ q) : p.comp f ≤ q.comp f :=
   fun _ => hp _
 #align seminorm.comp_mono Seminorm.comp_mono
 
-/- warning: seminorm.pullback -> Seminorm.pullback is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align seminorm.pullback Seminorm.pullbackₓ'. -/
 /-- The composition as an `add_monoid_hom`. -/
 @[simps]
 def pullback (f : E →ₛₗ[σ₁₂] E₂) : Seminorm 𝕜₂ E₂ →+ Seminorm 𝕜 E :=
@@ -515,24 +374,15 @@ def pullback (f : E →ₛₗ[σ₁₂] E₂) : Seminorm 𝕜₂ E₂ →+ Semin
 instance : OrderBot (Seminorm 𝕜 E) :=
   ⟨0, map_nonneg⟩
 
-/- warning: seminorm.coe_bot -> Seminorm.coe_bot is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align seminorm.coe_bot Seminorm.coe_botₓ'. -/
 @[simp]
 theorem coe_bot : ⇑(⊥ : Seminorm 𝕜 E) = 0 :=
   rfl
 #align seminorm.coe_bot Seminorm.coe_bot
 
-/- warning: seminorm.bot_eq_zero -> Seminorm.bot_eq_zero is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align seminorm.bot_eq_zero Seminorm.bot_eq_zeroₓ'. -/
 theorem bot_eq_zero : (⊥ : Seminorm 𝕜 E) = 0 :=
   rfl
 #align seminorm.bot_eq_zero Seminorm.bot_eq_zero
 
-/- warning: seminorm.smul_le_smul -> Seminorm.smul_le_smul is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align seminorm.smul_le_smul Seminorm.smul_le_smulₓ'. -/
 theorem smul_le_smul {p q : Seminorm 𝕜 E} {a b : ℝ≥0} (hpq : p ≤ q) (hab : a ≤ b) : a • p ≤ b • q :=
   by
   simp_rw [le_def, coe_smul]
@@ -541,9 +391,6 @@ theorem smul_le_smul {p q : Seminorm 𝕜 E} {a b : ℝ≥0} (hpq : p ≤ q) (ha
   exact mul_le_mul hab (hpq x) (map_nonneg p x) (NNReal.coe_nonneg b)
 #align seminorm.smul_le_smul Seminorm.smul_le_smul
 
-/- warning: seminorm.finset_sup_apply -> Seminorm.finset_sup_apply is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align seminorm.finset_sup_apply Seminorm.finset_sup_applyₓ'. -/
 theorem finset_sup_apply (p : ι → Seminorm 𝕜 E) (s : Finset ι) (x : E) :
     s.sup p x = ↑(s.sup fun i => ⟨p i x, map_nonneg (p i) x⟩ : ℝ≥0) :=
   by
@@ -556,9 +403,6 @@ theorem finset_sup_apply (p : ι → Seminorm 𝕜 E) (s : Finset ι) (x : E) :
       NNReal.coe_max, Subtype.coe_mk, ih]
 #align seminorm.finset_sup_apply Seminorm.finset_sup_apply
 
-/- warning: seminorm.finset_sup_le_sum -> Seminorm.finset_sup_le_sum is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align seminorm.finset_sup_le_sum Seminorm.finset_sup_le_sumₓ'. -/
 theorem finset_sup_le_sum (p : ι → Seminorm 𝕜 E) (s : Finset ι) : s.sup p ≤ ∑ i in s, p i := by
   classical
     refine' finset.sup_le_iff.mpr _
@@ -567,9 +411,6 @@ theorem finset_sup_le_sum (p : ι → Seminorm 𝕜 E) (s : Finset ι) : s.sup p
     exact bot_le
 #align seminorm.finset_sup_le_sum Seminorm.finset_sup_le_sum
 
-/- warning: seminorm.finset_sup_apply_le -> Seminorm.finset_sup_apply_le is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align seminorm.finset_sup_apply_le Seminorm.finset_sup_apply_leₓ'. -/
 theorem finset_sup_apply_le {p : ι → Seminorm 𝕜 E} {s : Finset ι} {x : E} {a : ℝ} (ha : 0 ≤ a)
     (h : ∀ i, i ∈ s → p i x ≤ a) : s.sup p x ≤ a :=
   by
@@ -578,9 +419,6 @@ theorem finset_sup_apply_le {p : ι → Seminorm 𝕜 E} {s : Finset ι} {x : E}
   exact Finset.sup_le h
 #align seminorm.finset_sup_apply_le Seminorm.finset_sup_apply_le
 
-/- warning: seminorm.finset_sup_apply_lt -> Seminorm.finset_sup_apply_lt is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align seminorm.finset_sup_apply_lt Seminorm.finset_sup_apply_ltₓ'. -/
 theorem finset_sup_apply_lt {p : ι → Seminorm 𝕜 E} {s : Finset ι} {x : E} {a : ℝ} (ha : 0 < a)
     (h : ∀ i, i ∈ s → p i x < a) : s.sup p x < a :=
   by
@@ -590,9 +428,6 @@ theorem finset_sup_apply_lt {p : ι → Seminorm 𝕜 E} {s : Finset ι} {x : E}
   · exact nnreal.coe_pos.mpr ha
 #align seminorm.finset_sup_apply_lt Seminorm.finset_sup_apply_lt
 
-/- warning: seminorm.norm_sub_map_le_sub -> Seminorm.norm_sub_map_le_sub is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align seminorm.norm_sub_map_le_sub Seminorm.norm_sub_map_le_subₓ'. -/
 theorem norm_sub_map_le_sub (p : Seminorm 𝕜 E) (x y : E) : ‖p x - p y‖ ≤ p (x - y) :=
   abs_sub_map_le_sub p x y
 #align seminorm.norm_sub_map_le_sub Seminorm.norm_sub_map_le_sub
@@ -609,9 +444,6 @@ variable {σ₁₂ : 𝕜 →+* 𝕜₂} [RingHomIsometric σ₁₂]
 
 variable [AddCommGroup E] [AddCommGroup E₂] [Module 𝕜 E] [Module 𝕜₂ E₂]
 
-/- warning: seminorm.comp_smul -> Seminorm.comp_smul is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align seminorm.comp_smul Seminorm.comp_smulₓ'. -/
 theorem comp_smul (p : Seminorm 𝕜₂ E₂) (f : E →ₛₗ[σ₁₂] E₂) (c : 𝕜₂) :
     p.comp (c • f) = ‖c‖₊ • p.comp f :=
   ext fun _ => by
@@ -619,9 +451,6 @@ theorem comp_smul (p : Seminorm 𝕜₂ E₂) (f : E →ₛₗ[σ₁₂] E₂) (
       smul_eq_mul, comp_apply]
 #align seminorm.comp_smul Seminorm.comp_smul
 
-/- warning: seminorm.comp_smul_apply -> Seminorm.comp_smul_apply is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align seminorm.comp_smul_apply Seminorm.comp_smul_applyₓ'. -/
 theorem comp_smul_apply (p : Seminorm 𝕜₂ E₂) (f : E →ₛₗ[σ₁₂] E₂) (c : 𝕜₂) (x : E) :
     p.comp (c • f) x = ‖c‖ * p (f x) :=
   map_smul_eq_mul p _ _
@@ -633,9 +462,6 @@ section NormedField
 
 variable [NormedField 𝕜] [AddCommGroup E] [Module 𝕜 E] {p q : Seminorm 𝕜 E} {x : E}
 
-/- warning: seminorm.bdd_below_range_add -> Seminorm.bddBelow_range_add is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align seminorm.bdd_below_range_add Seminorm.bddBelow_range_addₓ'. -/
 /-- Auxiliary lemma to show that the infimum of seminorms is well-defined. -/
 theorem bddBelow_range_add : BddBelow (range fun u => p u + q (x - u)) :=
   ⟨0, by rintro _ ⟨x, rfl⟩; dsimp; positivity⟩
@@ -661,9 +487,6 @@ noncomputable instance : Inf (Seminorm 𝕜 E)
             (fun u => ⟨a • u, inv_smul_smul₀ ha u⟩) fun u => _
         rw [smul_inv_smul₀ ha] }
 
-/- warning: seminorm.inf_apply -> Seminorm.inf_apply is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align seminorm.inf_apply Seminorm.inf_applyₓ'. -/
 @[simp]
 theorem inf_apply (p q : Seminorm 𝕜 E) (x : E) : (p ⊓ q) x = ⨅ u : E, p u + q (x - u) :=
   rfl
@@ -679,9 +502,6 @@ noncomputable instance : Lattice (Seminorm 𝕜 E) :=
     le_inf := fun a b c hab hac x =>
       le_ciInf fun u => (le_map_add_map_sub a _ _).trans <| add_le_add (hab _) (hac _) }
 
-/- warning: seminorm.smul_inf -> Seminorm.smul_inf is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align seminorm.smul_inf Seminorm.smul_infₓ'. -/
 theorem smul_inf [SMul R ℝ] [SMul R ℝ≥0] [IsScalarTower R ℝ≥0 ℝ] (r : R) (p q : Seminorm 𝕜 E) :
     r • (p ⊓ q) = r • p ⊓ r • q := by
   ext
@@ -747,17 +567,11 @@ noncomputable instance : SupSet (Seminorm 𝕜 E)
           exact i.1.smul' a x }
     else ⊥
 
-/- warning: seminorm.coe_Sup_eq' -> Seminorm.coe_sSup_eq' is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align seminorm.coe_Sup_eq' Seminorm.coe_sSup_eq'ₓ'. -/
 protected theorem coe_sSup_eq' {s : Set <| Seminorm 𝕜 E}
     (hs : BddAbove (coeFn '' s : Set (E → ℝ))) : coeFn (sSup s) = ⨆ p : s, p :=
   congr_arg _ (dif_pos hs)
 #align seminorm.coe_Sup_eq' Seminorm.coe_sSup_eq'
 
-/- warning: seminorm.bdd_above_iff -> Seminorm.bddAbove_iff is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align seminorm.bdd_above_iff Seminorm.bddAbove_iffₓ'. -/
 protected theorem bddAbove_iff {s : Set <| Seminorm 𝕜 E} :
     BddAbove s ↔ BddAbove (coeFn '' s : Set (E → ℝ)) :=
   ⟨fun ⟨q, hq⟩ => ⟨q, ball_image_of_ball fun p hp => hq hp⟩, fun H =>
@@ -768,17 +582,11 @@ protected theorem bddAbove_iff {s : Set <| Seminorm 𝕜 E} :
         le_ciSup ⟨q x, forall_range_iff.mpr fun i : s => hq (mem_image_of_mem _ i.2) x⟩ ⟨p, hp⟩⟩⟩
 #align seminorm.bdd_above_iff Seminorm.bddAbove_iff
 
-/- warning: seminorm.coe_Sup_eq -> Seminorm.coe_sSup_eq is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align seminorm.coe_Sup_eq Seminorm.coe_sSup_eqₓ'. -/
 protected theorem coe_sSup_eq {s : Set <| Seminorm 𝕜 E} (hs : BddAbove s) :
     coeFn (sSup s) = ⨆ p : s, p :=
   Seminorm.coe_sSup_eq' (Seminorm.bddAbove_iff.mp hs)
 #align seminorm.coe_Sup_eq Seminorm.coe_sSup_eq
 
-/- warning: seminorm.coe_supr_eq -> Seminorm.coe_iSup_eq is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align seminorm.coe_supr_eq Seminorm.coe_iSup_eqₓ'. -/
 protected theorem coe_iSup_eq {ι : Type _} {p : ι → Seminorm 𝕜 E} (hp : BddAbove (range p)) :
     coeFn (⨆ i, p i) = ⨆ i, p i := by
   rw [← sSup_range, Seminorm.coe_sSup_eq hp] <;> exact iSup_range' (coeFn : Seminorm 𝕜 E → E → ℝ) p
@@ -840,80 +648,32 @@ def closedBall (x : E) (r : ℝ) :=
 
 variable {x y : E} {r : ℝ}
 
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-Case conversion may be inaccurate. Consider using '#align seminorm.mem_ball Seminorm.mem_ballₓ'. -/
 @[simp]
 theorem mem_ball : y ∈ ball p x r ↔ p (y - x) < r :=
   Iff.rfl
 #align seminorm.mem_ball Seminorm.mem_ball
 
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 @[simp]
 theorem mem_closedBall : y ∈ closedBall p x r ↔ p (y - x) ≤ r :=
   Iff.rfl
 #align seminorm.mem_closed_ball Seminorm.mem_closedBall
 
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 theorem mem_ball_self (hr : 0 < r) : x ∈ ball p x r := by simp [hr]
 #align seminorm.mem_ball_self Seminorm.mem_ball_self
 
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 theorem mem_closedBall_self (hr : 0 ≤ r) : x ∈ closedBall p x r := by simp [hr]
 #align seminorm.mem_closed_ball_self Seminorm.mem_closedBall_self
 
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 theorem mem_ball_zero : y ∈ ball p 0 r ↔ p y < r := by rw [mem_ball, sub_zero]
 #align seminorm.mem_ball_zero Seminorm.mem_ball_zero
 
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 theorem mem_closedBall_zero : y ∈ closedBall p 0 r ↔ p y ≤ r := by rw [mem_closed_ball, sub_zero]
 #align seminorm.mem_closed_ball_zero Seminorm.mem_closedBall_zero
 
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 theorem ball_zero_eq : ball p 0 r = { y : E | p y < r } :=
   Set.ext fun x => p.mem_ball_zero
 #align seminorm.ball_zero_eq Seminorm.ball_zero_eq
 
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 theorem closedBall_zero_eq : closedBall p 0 r = { y : E | p y ≤ r } :=
   Set.ext fun x => p.mem_closedBall_zero
 #align seminorm.closed_ball_zero_eq Seminorm.closedBall_zero_eq
@@ -923,22 +683,10 @@ theorem ball_subset_closedBall (x r) : ball p x r ⊆ closedBall p x r := fun y
 #align seminorm.ball_subset_closed_ball Seminorm.ball_subset_closedBall
 -/
 
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 theorem closedBall_eq_biInter_ball (x r) : closedBall p x r = ⋂ ρ > r, ball p x ρ := by
   ext y <;> simp_rw [mem_closed_ball, mem_Inter₂, mem_ball, ← forall_lt_iff_le']
 #align seminorm.closed_ball_eq_bInter_ball Seminorm.closedBall_eq_biInter_ball
 
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 @[simp]
 theorem ball_zero' (x : E) (hr : 0 < r) : ball (0 : Seminorm 𝕜 E) x r = Set.univ :=
   by
@@ -946,69 +694,33 @@ theorem ball_zero' (x : E) (hr : 0 < r) : ball (0 : Seminorm 𝕜 E) x r = Set.u
   simp [hr]
 #align seminorm.ball_zero' Seminorm.ball_zero'
 
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 @[simp]
 theorem closedBall_zero' (x : E) (hr : 0 < r) : closedBall (0 : Seminorm 𝕜 E) x r = Set.univ :=
   eq_univ_of_subset (ball_subset_closedBall _ _ _) (ball_zero' x hr)
 #align seminorm.closed_ball_zero' Seminorm.closedBall_zero'
 
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 theorem ball_smul (p : Seminorm 𝕜 E) {c : NNReal} (hc : 0 < c) (r : ℝ) (x : E) :
     (c • p).ball x r = p.ball x (r / c) := by ext;
   rw [mem_ball, mem_ball, smul_apply, NNReal.smul_def, smul_eq_mul, mul_comm,
     lt_div_iff (nnreal.coe_pos.mpr hc)]
 #align seminorm.ball_smul Seminorm.ball_smul
 
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 theorem closedBall_smul (p : Seminorm 𝕜 E) {c : NNReal} (hc : 0 < c) (r : ℝ) (x : E) :
     (c • p).closedBall x r = p.closedBall x (r / c) := by ext;
   rw [mem_closed_ball, mem_closed_ball, smul_apply, NNReal.smul_def, smul_eq_mul, mul_comm,
     le_div_iff (nnreal.coe_pos.mpr hc)]
 #align seminorm.closed_ball_smul Seminorm.closedBall_smul
 
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 theorem ball_sup (p : Seminorm 𝕜 E) (q : Seminorm 𝕜 E) (e : E) (r : ℝ) :
     ball (p ⊔ q) e r = ball p e r ∩ ball q e r := by
   simp_rw [ball, ← Set.setOf_and, coe_sup, Pi.sup_apply, sup_lt_iff]
 #align seminorm.ball_sup Seminorm.ball_sup
 
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 theorem closedBall_sup (p : Seminorm 𝕜 E) (q : Seminorm 𝕜 E) (e : E) (r : ℝ) :
     closedBall (p ⊔ q) e r = closedBall p e r ∩ closedBall q e r := by
   simp_rw [closed_ball, ← Set.setOf_and, coe_sup, Pi.sup_apply, sup_le_iff]
 #align seminorm.closed_ball_sup Seminorm.closedBall_sup
 
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 theorem ball_finset_sup' (p : ι → Seminorm 𝕜 E) (s : Finset ι) (H : s.Nonempty) (e : E) (r : ℝ) :
     ball (s.sup' H p) e r = s.inf' H fun i => ball (p i) e r :=
   by
@@ -1017,12 +729,6 @@ theorem ball_finset_sup' (p : ι → Seminorm 𝕜 E) (s : Finset ι) (H : s.Non
   · rw [Finset.sup'_cons hs, Finset.inf'_cons hs, ball_sup, inf_eq_inter, ih]
 #align seminorm.ball_finset_sup' Seminorm.ball_finset_sup'
 
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 theorem closedBall_finset_sup' (p : ι → Seminorm 𝕜 E) (s : Finset ι) (H : s.Nonempty) (e : E)
     (r : ℝ) : closedBall (s.sup' H p) e r = s.inf' H fun i => closedBall (p i) e r :=
   by
@@ -1031,52 +737,22 @@ theorem closedBall_finset_sup' (p : ι → Seminorm 𝕜 E) (s : Finset ι) (H :
   · rw [Finset.sup'_cons hs, Finset.inf'_cons hs, closed_ball_sup, inf_eq_inter, ih]
 #align seminorm.closed_ball_finset_sup' Seminorm.closedBall_finset_sup'
 
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 theorem ball_mono {p : Seminorm 𝕜 E} {r₁ r₂ : ℝ} (h : r₁ ≤ r₂) : p.ball x r₁ ⊆ p.ball x r₂ :=
   fun _ (hx : _ < _) => hx.trans_le h
 #align seminorm.ball_mono Seminorm.ball_mono
 
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 theorem closedBall_mono {p : Seminorm 𝕜 E} {r₁ r₂ : ℝ} (h : r₁ ≤ r₂) :
     p.closedBall x r₁ ⊆ p.closedBall x r₂ := fun _ (hx : _ ≤ _) => hx.trans h
 #align seminorm.closed_ball_mono Seminorm.closedBall_mono
 
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 theorem ball_antitone {p q : Seminorm 𝕜 E} (h : q ≤ p) : p.ball x r ⊆ q.ball x r := fun _ =>
   (h _).trans_lt
 #align seminorm.ball_antitone Seminorm.ball_antitone
 
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 theorem closedBall_antitone {p q : Seminorm 𝕜 E} (h : q ≤ p) :
     p.closedBall x r ⊆ q.closedBall x r := fun _ => (h _).trans
 #align seminorm.closed_ball_antitone Seminorm.closedBall_antitone
 
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 theorem ball_add_ball_subset (p : Seminorm 𝕜 E) (r₁ r₂ : ℝ) (x₁ x₂ : E) :
     p.ball (x₁ : E) r₁ + p.ball (x₂ : E) r₂ ⊆ p.ball (x₁ + x₂) (r₁ + r₂) :=
   by
@@ -1085,12 +761,6 @@ theorem ball_add_ball_subset (p : Seminorm 𝕜 E) (r₁ r₂ : ℝ) (x₁ x₂
   exact (map_add_le_add p _ _).trans_lt (add_lt_add hy₁ hy₂)
 #align seminorm.ball_add_ball_subset Seminorm.ball_add_ball_subset
 
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 theorem closedBall_add_closedBall_subset (p : Seminorm 𝕜 E) (r₁ r₂ : ℝ) (x₁ x₂ : E) :
     p.closedBall (x₁ : E) r₁ + p.closedBall (x₂ : E) r₂ ⊆ p.closedBall (x₁ + x₂) (r₁ + r₂) :=
   by
@@ -1099,34 +769,16 @@ theorem closedBall_add_closedBall_subset (p : Seminorm 𝕜 E) (r₁ r₂ : ℝ)
   exact (map_add_le_add p _ _).trans (add_le_add hy₁ hy₂)
 #align seminorm.closed_ball_add_closed_ball_subset Seminorm.closedBall_add_closedBall_subset
 
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 theorem sub_mem_ball (p : Seminorm 𝕜 E) (x₁ x₂ y : E) (r : ℝ) :
     x₁ - x₂ ∈ p.ball y r ↔ x₁ ∈ p.ball (x₂ + y) r := by simp_rw [mem_ball, sub_sub]
 #align seminorm.sub_mem_ball Seminorm.sub_mem_ball
 
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-Case conversion may be inaccurate. Consider using '#align seminorm.vadd_ball Seminorm.vadd_ballₓ'. -/
 /-- The image of a ball under addition with a singleton is another ball. -/
 theorem vadd_ball (p : Seminorm 𝕜 E) : x +ᵥ p.ball y r = p.ball (x +ᵥ y) r :=
   letI := AddGroupSeminorm.toSeminormedAddCommGroup p.to_add_group_seminorm
   Metric.vadd_ball x y r
 #align seminorm.vadd_ball Seminorm.vadd_ball
 
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 /-- The image of a closed ball under addition with a singleton is another closed ball. -/
 theorem vadd_closedBall (p : Seminorm 𝕜 E) : x +ᵥ p.closedBall y r = p.closedBall (x +ᵥ y) r :=
   letI := AddGroupSeminorm.toSeminormedAddCommGroup p.to_add_group_seminorm
@@ -1143,9 +795,6 @@ variable [SeminormedRing 𝕜₂] [AddCommGroup E₂] [Module 𝕜₂ E₂]
 
 variable {σ₁₂ : 𝕜 →+* 𝕜₂} [RingHomIsometric σ₁₂]
 
-/- warning: seminorm.ball_comp -> Seminorm.ball_comp is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align seminorm.ball_comp Seminorm.ball_compₓ'. -/
 theorem ball_comp (p : Seminorm 𝕜₂ E₂) (f : E →ₛₗ[σ₁₂] E₂) (x : E) (r : ℝ) :
     (p.comp f).ball x r = f ⁻¹' p.ball (f x) r :=
   by
@@ -1153,9 +802,6 @@ theorem ball_comp (p : Seminorm 𝕜₂ E₂) (f : E →ₛₗ[σ₁₂] E₂) (
   simp_rw [ball, mem_preimage, comp_apply, Set.mem_setOf_eq, map_sub]
 #align seminorm.ball_comp Seminorm.ball_comp
 
-/- warning: seminorm.closed_ball_comp -> Seminorm.closedBall_comp is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align seminorm.closed_ball_comp Seminorm.closedBall_compₓ'. -/
 theorem closedBall_comp (p : Seminorm 𝕜₂ E₂) (f : E →ₛₗ[σ₁₂] E₂) (x : E) (r : ℝ) :
     (p.comp f).closedBall x r = f ⁻¹' p.closedBall (f x) r :=
   by
@@ -1165,18 +811,12 @@ theorem closedBall_comp (p : Seminorm 𝕜₂ E₂) (f : E →ₛₗ[σ₁₂] E
 
 variable (p : Seminorm 𝕜 E)
 
-/- warning: seminorm.preimage_metric_ball -> Seminorm.preimage_metric_ball is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align seminorm.preimage_metric_ball Seminorm.preimage_metric_ballₓ'. -/
 theorem preimage_metric_ball {r : ℝ} : p ⁻¹' Metric.ball 0 r = { x | p x < r } :=
   by
   ext x
   simp only [mem_set_of, mem_preimage, mem_ball_zero_iff, Real.norm_of_nonneg (map_nonneg p _)]
 #align seminorm.preimage_metric_ball Seminorm.preimage_metric_ball
 
-/- warning: seminorm.preimage_metric_closed_ball -> Seminorm.preimage_metric_closedBall is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align seminorm.preimage_metric_closed_ball Seminorm.preimage_metric_closedBallₓ'. -/
 theorem preimage_metric_closedBall {r : ℝ} : p ⁻¹' Metric.closedBall 0 r = { x | p x ≤ r } :=
   by
   ext x
@@ -1184,44 +824,26 @@ theorem preimage_metric_closedBall {r : ℝ} : p ⁻¹' Metric.closedBall 0 r =
     Real.norm_of_nonneg (map_nonneg p _)]
 #align seminorm.preimage_metric_closed_ball Seminorm.preimage_metric_closedBall
 
-/- warning: seminorm.ball_zero_eq_preimage_ball -> Seminorm.ball_zero_eq_preimage_ball is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align seminorm.ball_zero_eq_preimage_ball Seminorm.ball_zero_eq_preimage_ballₓ'. -/
 theorem ball_zero_eq_preimage_ball {r : ℝ} : p.ball 0 r = p ⁻¹' Metric.ball 0 r := by
   rw [ball_zero_eq, preimage_metric_ball]
 #align seminorm.ball_zero_eq_preimage_ball Seminorm.ball_zero_eq_preimage_ball
 
-/- warning: seminorm.closed_ball_zero_eq_preimage_closed_ball -> Seminorm.closedBall_zero_eq_preimage_closedBall is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align seminorm.closed_ball_zero_eq_preimage_closed_ball Seminorm.closedBall_zero_eq_preimage_closedBallₓ'. -/
 theorem closedBall_zero_eq_preimage_closedBall {r : ℝ} :
     p.closedBall 0 r = p ⁻¹' Metric.closedBall 0 r := by
   rw [closed_ball_zero_eq, preimage_metric_closed_ball]
 #align seminorm.closed_ball_zero_eq_preimage_closed_ball Seminorm.closedBall_zero_eq_preimage_closedBall
 
-/- warning: seminorm.ball_bot -> Seminorm.ball_bot is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align seminorm.ball_bot Seminorm.ball_botₓ'. -/
 @[simp]
 theorem ball_bot {r : ℝ} (x : E) (hr : 0 < r) : ball (⊥ : Seminorm 𝕜 E) x r = Set.univ :=
   ball_zero' x hr
 #align seminorm.ball_bot Seminorm.ball_bot
 
-/- warning: seminorm.closed_ball_bot -> Seminorm.closedBall_bot is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align seminorm.closed_ball_bot Seminorm.closedBall_botₓ'. -/
 @[simp]
 theorem closedBall_bot {r : ℝ} (x : E) (hr : 0 < r) :
     closedBall (⊥ : Seminorm 𝕜 E) x r = Set.univ :=
   closedBall_zero' x hr
 #align seminorm.closed_ball_bot Seminorm.closedBall_bot
 
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-Case conversion may be inaccurate. Consider using '#align seminorm.balanced_ball_zero Seminorm.balanced_ball_zeroₓ'. -/
 /-- Seminorm-balls at the origin are balanced. -/
 theorem balanced_ball_zero (r : ℝ) : Balanced 𝕜 (ball p 0 r) :=
   by
@@ -1233,12 +855,6 @@ theorem balanced_ball_zero (r : ℝ) : Balanced 𝕜 (ball p 0 r) :=
     
 #align seminorm.balanced_ball_zero Seminorm.balanced_ball_zero
 
-/- warning: seminorm.balanced_closed_ball_zero -> Seminorm.balanced_closedBall_zero is a dubious translation:
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-Case conversion may be inaccurate. Consider using '#align seminorm.balanced_closed_ball_zero Seminorm.balanced_closedBall_zeroₓ'. -/
 /-- Closed seminorm-balls at the origin are balanced. -/
 theorem balanced_closedBall_zero (r : ℝ) : Balanced 𝕜 (closedBall p 0 r) :=
   by
@@ -1250,9 +866,6 @@ theorem balanced_closedBall_zero (r : ℝ) : Balanced 𝕜 (closedBall p 0 r) :=
     
 #align seminorm.balanced_closed_ball_zero Seminorm.balanced_closedBall_zero
 
-/- warning: seminorm.ball_finset_sup_eq_Inter -> Seminorm.ball_finset_sup_eq_iInter is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align seminorm.ball_finset_sup_eq_Inter Seminorm.ball_finset_sup_eq_iInterₓ'. -/
 theorem ball_finset_sup_eq_iInter (p : ι → Seminorm 𝕜 E) (s : Finset ι) (x : E) {r : ℝ}
     (hr : 0 < r) : ball (s.sup p) x r = ⋂ i ∈ s, ball (p i) x r :=
   by
@@ -1261,9 +874,6 @@ theorem ball_finset_sup_eq_iInter (p : ι → Seminorm 𝕜 E) (s : Finset ι) (
     Finset.sup_lt_iff (show ⊥ < r from hr), ← NNReal.coe_lt_coe, Subtype.coe_mk]
 #align seminorm.ball_finset_sup_eq_Inter Seminorm.ball_finset_sup_eq_iInter
 
-/- warning: seminorm.closed_ball_finset_sup_eq_Inter -> Seminorm.closedBall_finset_sup_eq_iInter is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align seminorm.closed_ball_finset_sup_eq_Inter Seminorm.closedBall_finset_sup_eq_iInterₓ'. -/
 theorem closedBall_finset_sup_eq_iInter (p : ι → Seminorm 𝕜 E) (s : Finset ι) (x : E) {r : ℝ}
     (hr : 0 ≤ r) : closedBall (s.sup p) x r = ⋂ i ∈ s, closedBall (p i) x r :=
   by
@@ -1272,9 +882,6 @@ theorem closedBall_finset_sup_eq_iInter (p : ι → Seminorm 𝕜 E) (s : Finset
     NNReal.coe_le_coe, Subtype.coe_mk]
 #align seminorm.closed_ball_finset_sup_eq_Inter Seminorm.closedBall_finset_sup_eq_iInter
 
-/- warning: seminorm.ball_finset_sup -> Seminorm.ball_finset_sup is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align seminorm.ball_finset_sup Seminorm.ball_finset_supₓ'. -/
 theorem ball_finset_sup (p : ι → Seminorm 𝕜 E) (s : Finset ι) (x : E) {r : ℝ} (hr : 0 < r) :
     ball (s.sup p) x r = s.inf fun i => ball (p i) x r :=
   by
@@ -1282,9 +889,6 @@ theorem ball_finset_sup (p : ι → Seminorm 𝕜 E) (s : Finset ι) (x : E) {r
   exact ball_finset_sup_eq_Inter _ _ _ hr
 #align seminorm.ball_finset_sup Seminorm.ball_finset_sup
 
-/- warning: seminorm.closed_ball_finset_sup -> Seminorm.closedBall_finset_sup is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align seminorm.closed_ball_finset_sup Seminorm.closedBall_finset_supₓ'. -/
 theorem closedBall_finset_sup (p : ι → Seminorm 𝕜 E) (s : Finset ι) (x : E) {r : ℝ} (hr : 0 ≤ r) :
     closedBall (s.sup p) x r = s.inf fun i => closedBall (p i) x r :=
   by
@@ -1292,9 +896,6 @@ theorem closedBall_finset_sup (p : ι → Seminorm 𝕜 E) (s : Finset ι) (x :
   exact closed_ball_finset_sup_eq_Inter _ _ _ hr
 #align seminorm.closed_ball_finset_sup Seminorm.closedBall_finset_sup
 
-/- warning: seminorm.ball_smul_ball -> Seminorm.ball_smul_ball is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align seminorm.ball_smul_ball Seminorm.ball_smul_ballₓ'. -/
 theorem ball_smul_ball (p : Seminorm 𝕜 E) (r₁ r₂ : ℝ) :
     Metric.ball (0 : 𝕜) r₁ • p.ball 0 r₂ ⊆ p.ball 0 (r₁ * r₂) :=
   by
@@ -1307,9 +908,6 @@ theorem ball_smul_ball (p : Seminorm 𝕜 E) (r₁ r₂ : ℝ) :
     mul_lt_mul'' (mem_ball_zero_iff.mp ha) (p.mem_ball_zero.mp hy) (norm_nonneg a) (map_nonneg p y)
 #align seminorm.ball_smul_ball Seminorm.ball_smul_ball
 
-/- warning: seminorm.closed_ball_smul_closed_ball -> Seminorm.closedBall_smul_closedBall is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align seminorm.closed_ball_smul_closed_ball Seminorm.closedBall_smul_closedBallₓ'. -/
 theorem closedBall_smul_closedBall (p : Seminorm 𝕜 E) (r₁ r₂ : ℝ) :
     Metric.closedBall (0 : 𝕜) r₁ • p.closedBall 0 r₂ ⊆ p.closedBall 0 (r₁ * r₂) :=
   by
@@ -1322,12 +920,6 @@ theorem closedBall_smul_closedBall (p : Seminorm 𝕜 E) (r₁ r₂ : ℝ) :
   exact mul_le_mul ha (p.mem_closed_ball_zero.mp hy) (map_nonneg _ y) ((norm_nonneg a).trans ha)
 #align seminorm.closed_ball_smul_closed_ball Seminorm.closedBall_smul_closedBall
 
-/- warning: seminorm.ball_eq_emptyset -> Seminorm.ball_eq_emptyset is a dubious translation:
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-Case conversion may be inaccurate. Consider using '#align seminorm.ball_eq_emptyset Seminorm.ball_eq_emptysetₓ'. -/
 @[simp]
 theorem ball_eq_emptyset (p : Seminorm 𝕜 E) {x : E} {r : ℝ} (hr : r ≤ 0) : p.ball x r = ∅ :=
   by
@@ -1336,12 +928,6 @@ theorem ball_eq_emptyset (p : Seminorm 𝕜 E) {x : E} {r : ℝ} (hr : r ≤ 0)
   exact hr.trans (map_nonneg p _)
 #align seminorm.ball_eq_emptyset Seminorm.ball_eq_emptyset
 
-/- warning: seminorm.closed_ball_eq_emptyset -> Seminorm.closedBall_eq_emptyset is a dubious translation:
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-Case conversion may be inaccurate. Consider using '#align seminorm.closed_ball_eq_emptyset Seminorm.closedBall_eq_emptysetₓ'. -/
 @[simp]
 theorem closedBall_eq_emptyset (p : Seminorm 𝕜 E) {x : E} {r : ℝ} (hr : r < 0) :
     p.closedBall x r = ∅ := by
@@ -1361,9 +947,6 @@ section NormedField
 variable [NormedField 𝕜] [AddCommGroup E] [Module 𝕜 E] (p : Seminorm 𝕜 E) {A B : Set E} {a : 𝕜}
   {r : ℝ} {x : E}
 
-/- warning: seminorm.ball_norm_mul_subset -> Seminorm.ball_norm_mul_subset is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align seminorm.ball_norm_mul_subset Seminorm.ball_norm_mul_subsetₓ'. -/
 theorem ball_norm_mul_subset {p : Seminorm 𝕜 E} {k : 𝕜} {r : ℝ} :
     p.ball 0 (‖k‖ * r) ⊆ k • p.ball 0 r :=
   by
@@ -1380,9 +963,6 @@ theorem ball_norm_mul_subset {p : Seminorm 𝕜 E} {k : 𝕜} {r : ℝ} :
     rw [← smul_assoc, smul_eq_mul, ← div_eq_mul_inv, div_self hk, one_smul]
 #align seminorm.ball_norm_mul_subset Seminorm.ball_norm_mul_subset
 
-/- warning: seminorm.smul_ball_zero -> Seminorm.smul_ball_zero is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align seminorm.smul_ball_zero Seminorm.smul_ball_zeroₓ'. -/
 theorem smul_ball_zero {p : Seminorm 𝕜 E} {k : 𝕜} {r : ℝ} (hk : k ≠ 0) :
     k • p.ball 0 r = p.ball 0 (‖k‖ * r) := by
   ext
@@ -1390,9 +970,6 @@ theorem smul_ball_zero {p : Seminorm 𝕜 E} {k : 𝕜} {r : ℝ} (hk : k ≠ 0)
     norm_inv, ← div_eq_inv_mul, div_lt_iff (norm_pos_iff.2 hk), mul_comm]
 #align seminorm.smul_ball_zero Seminorm.smul_ball_zero
 
-/- warning: seminorm.smul_closed_ball_subset -> Seminorm.smul_closedBall_subset is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align seminorm.smul_closed_ball_subset Seminorm.smul_closedBall_subsetₓ'. -/
 theorem smul_closedBall_subset {p : Seminorm 𝕜 E} {k : 𝕜} {r : ℝ} :
     k • p.closedBall 0 r ⊆ p.closedBall 0 (‖k‖ * r) :=
   by
@@ -1402,9 +979,6 @@ theorem smul_closedBall_subset {p : Seminorm 𝕜 E} {k : 𝕜} {r : ℝ} :
   exact mul_le_mul_of_nonneg_left hy (norm_nonneg _)
 #align seminorm.smul_closed_ball_subset Seminorm.smul_closedBall_subset
 
-/- warning: seminorm.smul_closed_ball_zero -> Seminorm.smul_closedBall_zero is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align seminorm.smul_closed_ball_zero Seminorm.smul_closedBall_zeroₓ'. -/
 theorem smul_closedBall_zero {p : Seminorm 𝕜 E} {k : 𝕜} {r : ℝ} (hk : 0 < ‖k‖) :
     k • p.closedBall 0 r = p.closedBall 0 (‖k‖ * r) :=
   by
@@ -1418,9 +992,6 @@ theorem smul_closedBall_zero {p : Seminorm 𝕜 E} {k : 𝕜} {r : ℝ} (hk : 0
   rw [← smul_assoc, smul_eq_mul, ← div_eq_mul_inv, div_self (norm_pos_iff.mp hk), one_smul]
 #align seminorm.smul_closed_ball_zero Seminorm.smul_closedBall_zero
 
-/- warning: seminorm.ball_zero_absorbs_ball_zero -> Seminorm.ball_zero_absorbs_ball_zero is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align seminorm.ball_zero_absorbs_ball_zero Seminorm.ball_zero_absorbs_ball_zeroₓ'. -/
 theorem ball_zero_absorbs_ball_zero (p : Seminorm 𝕜 E) {r₁ r₂ : ℝ} (hr₁ : 0 < r₁) :
     Absorbs 𝕜 (p.ball 0 r₁) (p.ball 0 r₂) :=
   by
@@ -1431,9 +1002,6 @@ theorem ball_zero_absorbs_ball_zero (p : Seminorm 𝕜 E) {r₁ r₂ : ℝ} (hr
   exact hx.trans (hr.trans_le <| mul_le_mul_of_nonneg_right ha hr₁.le)
 #align seminorm.ball_zero_absorbs_ball_zero Seminorm.ball_zero_absorbs_ball_zero
 
-/- warning: seminorm.absorbent_ball_zero -> Seminorm.absorbent_ball_zero is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align seminorm.absorbent_ball_zero Seminorm.absorbent_ball_zeroₓ'. -/
 /-- Seminorm-balls at the origin are absorbent. -/
 protected theorem absorbent_ball_zero (hr : 0 < r) : Absorbent 𝕜 (ball p (0 : E) r) :=
   absorbent_iff_forall_absorbs_singleton.2 fun x =>
@@ -1441,17 +1009,11 @@ protected theorem absorbent_ball_zero (hr : 0 < r) : Absorbent 𝕜 (ball p (0 :
       singleton_subset_iff.2 <| p.mem_ball_zero.2 <| lt_add_one _
 #align seminorm.absorbent_ball_zero Seminorm.absorbent_ball_zero
 
-/- warning: seminorm.absorbent_closed_ball_zero -> Seminorm.absorbent_closedBall_zero is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align seminorm.absorbent_closed_ball_zero Seminorm.absorbent_closedBall_zeroₓ'. -/
 /-- Closed seminorm-balls at the origin are absorbent. -/
 protected theorem absorbent_closedBall_zero (hr : 0 < r) : Absorbent 𝕜 (closedBall p (0 : E) r) :=
   (p.absorbent_ball_zero hr).Subset (p.ball_subset_closedBall _ _)
 #align seminorm.absorbent_closed_ball_zero Seminorm.absorbent_closedBall_zero
 
-/- warning: seminorm.absorbent_ball -> Seminorm.absorbent_ball is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align seminorm.absorbent_ball Seminorm.absorbent_ballₓ'. -/
 /-- Seminorm-balls containing the origin are absorbent. -/
 protected theorem absorbent_ball (hpr : p x < r) : Absorbent 𝕜 (ball p x r) :=
   by
@@ -1460,9 +1022,6 @@ protected theorem absorbent_ball (hpr : p x < r) : Absorbent 𝕜 (ball p x r) :
   exact p.mem_ball.2 ((map_sub_le_add p _ _).trans_lt <| add_lt_of_lt_sub_right hy)
 #align seminorm.absorbent_ball Seminorm.absorbent_ball
 
-/- warning: seminorm.absorbent_closed_ball -> Seminorm.absorbent_closedBall is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align seminorm.absorbent_closed_ball Seminorm.absorbent_closedBallₓ'. -/
 /-- Seminorm-balls containing the origin are absorbent. -/
 protected theorem absorbent_closedBall (hpr : p x < r) : Absorbent 𝕜 (closedBall p x r) :=
   by
@@ -1471,24 +1030,15 @@ protected theorem absorbent_closedBall (hpr : p x < r) : Absorbent 𝕜 (closedB
   exact p.mem_closed_ball.2 ((map_sub_le_add p _ _).trans <| add_le_of_le_sub_right hy)
 #align seminorm.absorbent_closed_ball Seminorm.absorbent_closedBall
 
-/- warning: seminorm.symmetric_ball_zero -> Seminorm.symmetric_ball_zero is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align seminorm.symmetric_ball_zero Seminorm.symmetric_ball_zeroₓ'. -/
 theorem symmetric_ball_zero (r : ℝ) (hx : x ∈ ball p 0 r) : -x ∈ ball p 0 r :=
   balanced_ball_zero p r (-1) (by rw [norm_neg, norm_one]) ⟨x, hx, by rw [neg_smul, one_smul]⟩
 #align seminorm.symmetric_ball_zero Seminorm.symmetric_ball_zero
 
-/- warning: seminorm.neg_ball -> Seminorm.neg_ball is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align seminorm.neg_ball Seminorm.neg_ballₓ'. -/
 @[simp]
 theorem neg_ball (p : Seminorm 𝕜 E) (r : ℝ) (x : E) : -ball p x r = ball p (-x) r := by ext;
   rw [mem_neg, mem_ball, mem_ball, ← neg_add', sub_neg_eq_add, map_neg_eq_map]
 #align seminorm.neg_ball Seminorm.neg_ball
 
-/- warning: seminorm.smul_ball_preimage -> Seminorm.smul_ball_preimage is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align seminorm.smul_ball_preimage Seminorm.smul_ball_preimageₓ'. -/
 @[simp]
 theorem smul_ball_preimage (p : Seminorm 𝕜 E) (y : E) (r : ℝ) (a : 𝕜) (ha : a ≠ 0) :
     (· • ·) a ⁻¹' p.ball y r = p.ball (a⁻¹ • y) (r / ‖a‖) :=
@@ -1507,9 +1057,6 @@ section SMul
 
 variable [SMul ℝ E] [IsScalarTower ℝ 𝕜 E] (p : Seminorm 𝕜 E)
 
-/- warning: seminorm.convex_on -> Seminorm.convexOn is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align seminorm.convex_on Seminorm.convexOnₓ'. -/
 /-- A seminorm is convex. Also see `convex_on_norm`. -/
 protected theorem convexOn : ConvexOn ℝ univ p :=
   by
@@ -1559,12 +1106,6 @@ section RestrictScalars
 variable (𝕜) {𝕜' : Type _} [NormedField 𝕜] [SeminormedRing 𝕜'] [NormedAlgebra 𝕜 𝕜']
   [NormOneClass 𝕜'] [AddCommGroup E] [Module 𝕜' E] [SMul 𝕜 E] [IsScalarTower 𝕜 𝕜' E]
 
-/- warning: seminorm.restrict_scalars -> Seminorm.restrictScalars is a dubious translation:
-lean 3 declaration is
-  forall (𝕜 : Type.{u1}) {E : Type.{u2}} {𝕜' : Type.{u3}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : SeminormedRing.{u3} 𝕜'] [_inst_3 : NormedAlgebra.{u1, u3} 𝕜 𝕜' _inst_1 _inst_2] [_inst_4 : NormOneClass.{u3} 𝕜' (SeminormedRing.toHasNorm.{u3} 𝕜' _inst_2) (AddMonoidWithOne.toOne.{u3} 𝕜' (AddGroupWithOne.toAddMonoidWithOne.{u3} 𝕜' (AddCommGroupWithOne.toAddGroupWithOne.{u3} 𝕜' (Ring.toAddCommGroupWithOne.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))))] [_inst_5 : AddCommGroup.{u2} E] [_inst_6 : Module.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)] [_inst_7 : SMul.{u1, u2} 𝕜 E] [_inst_8 : IsScalarTower.{u1, u3, u2} 𝕜 𝕜' E (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 𝕜' (AddZeroClass.toHasZero.{u3} 𝕜' (AddMonoid.toAddZeroClass.{u3} 𝕜' (AddCommMonoid.toAddMonoid.{u3} 𝕜' (AddCommGroup.toAddCommMonoid.{u3} 𝕜' (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜' (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜' (SeminormedRing.toNonUnitalSeminormedRing.{u3} 𝕜' _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 𝕜' (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u3} 𝕜' (AddMonoid.toAddZeroClass.{u3} 𝕜' (AddCommMonoid.toAddMonoid.{u3} 𝕜' (AddCommGroup.toAddCommMonoid.{u3} 𝕜' (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜' (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜' (SeminormedRing.toNonUnitalSeminormedRing.{u3} 𝕜' _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 𝕜' (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u3} 𝕜' (AddMonoid.toAddZeroClass.{u3} 𝕜' (AddCommMonoid.toAddMonoid.{u3} 𝕜' (AddCommGroup.toAddCommMonoid.{u3} 𝕜' (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜' (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜' (SeminormedRing.toNonUnitalSeminormedRing.{u3} 𝕜' _inst_2))))))) (Module.toMulActionWithZero.{u1, u3} 𝕜 𝕜' (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u3} 𝕜' (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜' (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜' (SeminormedRing.toNonUnitalSeminormedRing.{u3} 𝕜' _inst_2)))) (NormedSpace.toModule.{u1, u3} 𝕜 𝕜' _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜' (SeminormedRing.toNonUnitalSeminormedRing.{u3} 𝕜' _inst_2)) (NormedAlgebra.toNormedSpace.{u1, u3} 𝕜 𝕜' _inst_1 _inst_2 _inst_3)))))) (SMulZeroClass.toHasSmul.{u3, u2} 𝕜' E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)))) (SMulWithZero.toSmulZeroClass.{u3, u2} 𝕜' E (MulZeroClass.toHasZero.{u3} 𝕜' (MulZeroOneClass.toMulZeroClass.{u3} 𝕜' (MonoidWithZero.toMulZeroOneClass.{u3} 𝕜' (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜' E (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)))) (Module.toMulActionWithZero.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5) _inst_6)))) _inst_7], (Seminorm.{u3, u2} 𝕜' E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_5) (SMulZeroClass.toHasSmul.{u3, u2} 𝕜' E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)))) (SMulWithZero.toSmulZeroClass.{u3, u2} 𝕜' E (MulZeroClass.toHasZero.{u3} 𝕜' (MulZeroOneClass.toMulZeroClass.{u3} 𝕜' (MonoidWithZero.toMulZeroOneClass.{u3} 𝕜' (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜' E (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)))) (Module.toMulActionWithZero.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5) _inst_6))))) -> (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_5) _inst_7)
-but is expected to have type
-  forall (𝕜 : Type.{u1}) {E : Type.{u2}} {𝕜' : Type.{u3}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : SeminormedRing.{u3} 𝕜'] [_inst_3 : NormedAlgebra.{u1, u3} 𝕜 𝕜' _inst_1 _inst_2] [_inst_4 : NormOneClass.{u3} 𝕜' (SeminormedRing.toNorm.{u3} 𝕜' _inst_2) (Semiring.toOne.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))] [_inst_5 : AddCommGroup.{u2} E] [_inst_6 : Module.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)] [_inst_7 : SMul.{u1, u2} 𝕜 E] [_inst_8 : IsScalarTower.{u1, u3, u2} 𝕜 𝕜' E (Algebra.toSMul.{u1, u3} 𝕜 𝕜' (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))) (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (NormedAlgebra.toAlgebra.{u1, u3} 𝕜 𝕜' _inst_1 _inst_2 _inst_3)) (SMulZeroClass.toSMul.{u3, u2} 𝕜' E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜' E (MonoidWithZero.toZero.{u3} 𝕜' (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜' E (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (Module.toMulActionWithZero.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5) _inst_6)))) _inst_7], (Seminorm.{u3, u2} 𝕜' E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_5) (SMulZeroClass.toSMul.{u3, u2} 𝕜' E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜' E (MonoidWithZero.toZero.{u3} 𝕜' (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜' E (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (Module.toMulActionWithZero.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5) _inst_6))))) -> (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_5) _inst_7)
-Case conversion may be inaccurate. Consider using '#align seminorm.restrict_scalars Seminorm.restrictScalarsₓ'. -/
 /-- Reinterpret a seminorm over a field `𝕜'` as a seminorm over a smaller field `𝕜`. This will
 typically be used with `is_R_or_C 𝕜'` and `𝕜 = ℝ`. -/
 protected def restrictScalars (p : Seminorm 𝕜' E) : Seminorm 𝕜 E :=
@@ -1572,25 +1113,16 @@ protected def restrictScalars (p : Seminorm 𝕜' E) : Seminorm 𝕜 E :=
     smul' := fun a x => by rw [← smul_one_smul 𝕜' a x, p.smul', norm_smul, norm_one, mul_one] }
 #align seminorm.restrict_scalars Seminorm.restrictScalars
 
-/- warning: seminorm.coe_restrict_scalars -> Seminorm.coe_restrictScalars is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align seminorm.coe_restrict_scalars Seminorm.coe_restrictScalarsₓ'. -/
 @[simp]
 theorem coe_restrictScalars (p : Seminorm 𝕜' E) : (p.restrictScalars 𝕜 : E → ℝ) = p :=
   rfl
 #align seminorm.coe_restrict_scalars Seminorm.coe_restrictScalars
 
-/- warning: seminorm.restrict_scalars_ball -> Seminorm.restrictScalars_ball is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align seminorm.restrict_scalars_ball Seminorm.restrictScalars_ballₓ'. -/
 @[simp]
 theorem restrictScalars_ball (p : Seminorm 𝕜' E) : (p.restrictScalars 𝕜).ball = p.ball :=
   rfl
 #align seminorm.restrict_scalars_ball Seminorm.restrictScalars_ball
 
-/- warning: seminorm.restrict_scalars_closed_ball -> Seminorm.restrictScalars_closedBall is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align seminorm.restrict_scalars_closed_ball Seminorm.restrictScalars_closedBallₓ'. -/
 @[simp]
 theorem restrictScalars_closedBall (p : Seminorm 𝕜' E) :
     (p.restrictScalars 𝕜).closedBall = p.closedBall :=
@@ -1608,9 +1140,6 @@ variable [NontriviallyNormedField 𝕜] [SeminormedRing 𝕝] [AddCommGroup E] [
 
 variable [Module 𝕝 E]
 
-/- warning: seminorm.continuous_at_zero' -> Seminorm.continuousAt_zero' is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align seminorm.continuous_at_zero' Seminorm.continuousAt_zero'ₓ'. -/
 theorem continuousAt_zero' [TopologicalSpace E] [ContinuousConstSMul 𝕜 E] {p : Seminorm 𝕜 E} {r : ℝ}
     (hr : 0 < r) (hp : p.closedBall 0 r ∈ (𝓝 0 : Filter E)) : ContinuousAt p 0 :=
   by
@@ -1627,17 +1156,11 @@ theorem continuousAt_zero' [TopologicalSpace E] [ContinuousConstSMul 𝕜 E] {p
   exact mul_le_mul hkε.le (p.mem_closed_ball_zero.mp hx) (map_nonneg _ _) (div_nonneg hε.le hr.le)
 #align seminorm.continuous_at_zero' Seminorm.continuousAt_zero'
 
-/- warning: seminorm.continuous_at_zero -> Seminorm.continuousAt_zero is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align seminorm.continuous_at_zero Seminorm.continuousAt_zeroₓ'. -/
 theorem continuousAt_zero [TopologicalSpace E] [ContinuousConstSMul 𝕜 E] {p : Seminorm 𝕜 E} {r : ℝ}
     (hr : 0 < r) (hp : p.ball 0 r ∈ (𝓝 0 : Filter E)) : ContinuousAt p 0 :=
   continuousAt_zero' hr (Filter.mem_of_superset hp <| p.ball_subset_closedBall _ _)
 #align seminorm.continuous_at_zero Seminorm.continuousAt_zero
 
-/- warning: seminorm.uniform_continuous_of_continuous_at_zero -> Seminorm.uniformContinuous_of_continuousAt_zero is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align seminorm.uniform_continuous_of_continuous_at_zero Seminorm.uniformContinuous_of_continuousAt_zeroₓ'. -/
 protected theorem uniformContinuous_of_continuousAt_zero [UniformSpace E] [UniformAddGroup E]
     {p : Seminorm 𝕝 E} (hp : ContinuousAt p 0) : UniformContinuous p :=
   by
@@ -1649,9 +1172,6 @@ protected theorem uniformContinuous_of_continuousAt_zero [UniformSpace E] [Unifo
       (fun xy => dist_nonneg) fun xy => p.norm_sub_map_le_sub _ _
 #align seminorm.uniform_continuous_of_continuous_at_zero Seminorm.uniformContinuous_of_continuousAt_zero
 
-/- warning: seminorm.continuous_of_continuous_at_zero -> Seminorm.continuous_of_continuousAt_zero is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align seminorm.continuous_of_continuous_at_zero Seminorm.continuous_of_continuousAt_zeroₓ'. -/
 protected theorem continuous_of_continuousAt_zero [TopologicalSpace E] [TopologicalAddGroup E]
     {p : Seminorm 𝕝 E} (hp : ContinuousAt p 0) : Continuous p :=
   by
@@ -1660,44 +1180,29 @@ protected theorem continuous_of_continuousAt_zero [TopologicalSpace E] [Topologi
   exact (Seminorm.uniformContinuous_of_continuousAt_zero hp).Continuous
 #align seminorm.continuous_of_continuous_at_zero Seminorm.continuous_of_continuousAt_zero
 
-/- warning: seminorm.uniform_continuous -> Seminorm.uniformContinuous is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align seminorm.uniform_continuous Seminorm.uniformContinuousₓ'. -/
 protected theorem uniformContinuous [UniformSpace E] [UniformAddGroup E] [ContinuousConstSMul 𝕜 E]
     {p : Seminorm 𝕜 E} {r : ℝ} (hr : 0 < r) (hp : p.ball 0 r ∈ (𝓝 0 : Filter E)) :
     UniformContinuous p :=
   Seminorm.uniformContinuous_of_continuousAt_zero (continuousAt_zero hr hp)
 #align seminorm.uniform_continuous Seminorm.uniformContinuous
 
-/- warning: seminorm.uniform_continuous' -> Seminorm.uniform_continuous' is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align seminorm.uniform_continuous' Seminorm.uniform_continuous'ₓ'. -/
 protected theorem uniform_continuous' [UniformSpace E] [UniformAddGroup E] [ContinuousConstSMul 𝕜 E]
     {p : Seminorm 𝕜 E} {r : ℝ} (hr : 0 < r) (hp : p.closedBall 0 r ∈ (𝓝 0 : Filter E)) :
     UniformContinuous p :=
   Seminorm.uniformContinuous_of_continuousAt_zero (continuousAt_zero' hr hp)
 #align seminorm.uniform_continuous' Seminorm.uniform_continuous'
 
-/- warning: seminorm.continuous -> Seminorm.continuous is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align seminorm.continuous Seminorm.continuousₓ'. -/
 protected theorem continuous [TopologicalSpace E] [TopologicalAddGroup E] [ContinuousConstSMul 𝕜 E]
     {p : Seminorm 𝕜 E} {r : ℝ} (hr : 0 < r) (hp : p.ball 0 r ∈ (𝓝 0 : Filter E)) : Continuous p :=
   Seminorm.continuous_of_continuousAt_zero (continuousAt_zero hr hp)
 #align seminorm.continuous Seminorm.continuous
 
-/- warning: seminorm.continuous' -> Seminorm.continuous' is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align seminorm.continuous' Seminorm.continuous'ₓ'. -/
 protected theorem continuous' [TopologicalSpace E] [TopologicalAddGroup E] [ContinuousConstSMul 𝕜 E]
     {p : Seminorm 𝕜 E} {r : ℝ} (hr : 0 < r) (hp : p.closedBall 0 r ∈ (𝓝 0 : Filter E)) :
     Continuous p :=
   Seminorm.continuous_of_continuousAt_zero (continuousAt_zero' hr hp)
 #align seminorm.continuous' Seminorm.continuous'
 
-/- warning: seminorm.continuous_of_le -> Seminorm.continuous_of_le is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align seminorm.continuous_of_le Seminorm.continuous_of_leₓ'. -/
 theorem continuous_of_le [TopologicalSpace E] [TopologicalAddGroup E] [ContinuousConstSMul 𝕜 E]
     {p q : Seminorm 𝕜 E} (hq : Continuous q) (hpq : p ≤ q) : Continuous p :=
   by
@@ -1727,9 +1232,6 @@ def normSeminorm : Seminorm 𝕜 E :=
 #align norm_seminorm normSeminorm
 -/
 
-/- warning: coe_norm_seminorm -> coe_normSeminorm is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align coe_norm_seminorm coe_normSeminormₓ'. -/
 @[simp]
 theorem coe_normSeminorm : ⇑(normSeminorm 𝕜 E) = norm :=
   rfl
@@ -1744,34 +1246,16 @@ theorem ball_normSeminorm : (normSeminorm 𝕜 E).ball = Metric.ball := by ext (
 
 variable {𝕜 E} {x : E}
 
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-Case conversion may be inaccurate. Consider using '#align absorbent_ball_zero absorbent_ball_zeroₓ'. -/
 /-- Balls at the origin are absorbent. -/
 theorem absorbent_ball_zero (hr : 0 < r) : Absorbent 𝕜 (Metric.ball (0 : E) r) := by
   rw [← ball_normSeminorm 𝕜]; exact (normSeminorm _ _).absorbent_ball_zero hr
 #align absorbent_ball_zero absorbent_ball_zero
 
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-Case conversion may be inaccurate. Consider using '#align absorbent_ball absorbent_ballₓ'. -/
 /-- Balls containing the origin are absorbent. -/
 theorem absorbent_ball (hx : ‖x‖ < r) : Absorbent 𝕜 (Metric.ball x r) := by
   rw [← ball_normSeminorm 𝕜]; exact (normSeminorm _ _).absorbent_ball hx
 #align absorbent_ball absorbent_ball
 
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-Case conversion may be inaccurate. Consider using '#align balanced_ball_zero balanced_ball_zeroₓ'. -/
 /-- Balls at the origin are balanced. -/
 theorem balanced_ball_zero : Balanced 𝕜 (Metric.ball (0 : E) r) := by rw [← ball_normSeminorm 𝕜];
   exact (normSeminorm _ _).balanced_ball_zero r

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

@@ -638,10 +638,7 @@ variable [NormedField 𝕜] [AddCommGroup E] [Module 𝕜 E] {p q : Seminorm 
 Case conversion may be inaccurate. Consider using '#align seminorm.bdd_below_range_add Seminorm.bddBelow_range_addₓ'. -/
 /-- Auxiliary lemma to show that the infimum of seminorms is well-defined. -/
 theorem bddBelow_range_add : BddBelow (range fun u => p u + q (x - u)) :=
-  ⟨0, by
-    rintro _ ⟨x, rfl⟩
-    dsimp
-    positivity⟩
+  ⟨0, by rintro _ ⟨x, rfl⟩; dsimp; positivity⟩
 #align seminorm.bdd_below_range_add Seminorm.bddBelow_range_add
 
 noncomputable instance : Inf (Seminorm 𝕜 E)
@@ -967,8 +964,7 @@ but is expected to have type
   forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_2 : AddCommGroup.{u1} E] [_inst_3 : SMul.{u2, u1} 𝕜 E] (p : Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_2) _inst_3) {c : NNReal}, (LT.lt.{0} NNReal (Preorder.toLT.{0} NNReal (PartialOrder.toPreorder.{0} NNReal (StrictOrderedSemiring.toPartialOrder.{0} NNReal instNNRealStrictOrderedSemiring))) (OfNat.ofNat.{0} NNReal 0 (Zero.toOfNat0.{0} NNReal instNNRealZero)) c) -> (forall (r : Real) (x : E), Eq.{succ u1} (Set.{u1} E) (Seminorm.ball.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3 (HSMul.hSMul.{0, u1, u1} NNReal (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_2) _inst_3) (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_2) _inst_3) (instHSMul.{0, u1} NNReal (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_2) _inst_3) (Seminorm.instSMul.{0, u2, u1} NNReal 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_2) _inst_3 Seminorm.smul_nnreal_real (Algebra.toSMul.{0, 0} NNReal NNReal instNNRealCommSemiring instNNRealSemiring (Algebra.id.{0} NNReal instNNRealCommSemiring)) (IsScalarTower.left.{0, 0} NNReal Real (MonoidWithZero.toMonoid.{0} NNReal (Semiring.toMonoidWithZero.{0} NNReal instNNRealSemiring)) (NNReal.instMulActionNNRealToMonoidToMonoidWithZeroInstNNRealSemiring.{0} Real (MulActionWithZero.toMulAction.{0, 0} Real Real Real.instMonoidWithZeroReal Real.instZeroReal (MonoidWithZero.toMulActionWithZero.{0} Real Real.instMonoidWithZeroReal)))))) c p) x r) (Seminorm.ball.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3 p x (HDiv.hDiv.{0, 0, 0} Real Real Real (instHDiv.{0} Real (LinearOrderedField.toDiv.{0} Real Real.instLinearOrderedFieldReal)) r (NNReal.toReal c))))
 Case conversion may be inaccurate. Consider using '#align seminorm.ball_smul Seminorm.ball_smulₓ'. -/
 theorem ball_smul (p : Seminorm 𝕜 E) {c : NNReal} (hc : 0 < c) (r : ℝ) (x : E) :
-    (c • p).ball x r = p.ball x (r / c) := by
-  ext
+    (c • p).ball x r = p.ball x (r / c) := by ext;
   rw [mem_ball, mem_ball, smul_apply, NNReal.smul_def, smul_eq_mul, mul_comm,
     lt_div_iff (nnreal.coe_pos.mpr hc)]
 #align seminorm.ball_smul Seminorm.ball_smul
@@ -980,9 +976,7 @@ but is expected to have type
   forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_2 : AddCommGroup.{u1} E] [_inst_3 : SMul.{u2, u1} 𝕜 E] (p : Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_2) _inst_3) {c : NNReal}, (LT.lt.{0} NNReal (Preorder.toLT.{0} NNReal (PartialOrder.toPreorder.{0} NNReal (StrictOrderedSemiring.toPartialOrder.{0} NNReal instNNRealStrictOrderedSemiring))) (OfNat.ofNat.{0} NNReal 0 (Zero.toOfNat0.{0} NNReal instNNRealZero)) c) -> (forall (r : Real) (x : E), Eq.{succ u1} (Set.{u1} E) (Seminorm.closedBall.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3 (HSMul.hSMul.{0, u1, u1} NNReal (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_2) _inst_3) (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_2) _inst_3) (instHSMul.{0, u1} NNReal (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_2) _inst_3) (Seminorm.instSMul.{0, u2, u1} NNReal 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_2) _inst_3 Seminorm.smul_nnreal_real (Algebra.toSMul.{0, 0} NNReal NNReal instNNRealCommSemiring instNNRealSemiring (Algebra.id.{0} NNReal instNNRealCommSemiring)) (IsScalarTower.left.{0, 0} NNReal Real (MonoidWithZero.toMonoid.{0} NNReal (Semiring.toMonoidWithZero.{0} NNReal instNNRealSemiring)) (NNReal.instMulActionNNRealToMonoidToMonoidWithZeroInstNNRealSemiring.{0} Real (MulActionWithZero.toMulAction.{0, 0} Real Real Real.instMonoidWithZeroReal Real.instZeroReal (MonoidWithZero.toMulActionWithZero.{0} Real Real.instMonoidWithZeroReal)))))) c p) x r) (Seminorm.closedBall.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3 p x (HDiv.hDiv.{0, 0, 0} Real Real Real (instHDiv.{0} Real (LinearOrderedField.toDiv.{0} Real Real.instLinearOrderedFieldReal)) r (NNReal.toReal c))))
 Case conversion may be inaccurate. Consider using '#align seminorm.closed_ball_smul Seminorm.closedBall_smulₓ'. -/
 theorem closedBall_smul (p : Seminorm 𝕜 E) {c : NNReal} (hc : 0 < c) (r : ℝ) (x : E) :
-    (c • p).closedBall x r = p.closedBall x (r / c) :=
-  by
-  ext
+    (c • p).closedBall x r = p.closedBall x (r / c) := by ext;
   rw [mem_closed_ball, mem_closed_ball, smul_apply, NNReal.smul_def, smul_eq_mul, mul_comm,
     le_div_iff (nnreal.coe_pos.mpr hc)]
 #align seminorm.closed_ball_smul Seminorm.closedBall_smul
@@ -1488,9 +1482,7 @@ theorem symmetric_ball_zero (r : ℝ) (hx : x ∈ ball p 0 r) : -x ∈ ball p 0
 <too large>
 Case conversion may be inaccurate. Consider using '#align seminorm.neg_ball Seminorm.neg_ballₓ'. -/
 @[simp]
-theorem neg_ball (p : Seminorm 𝕜 E) (r : ℝ) (x : E) : -ball p x r = ball p (-x) r :=
-  by
-  ext
+theorem neg_ball (p : Seminorm 𝕜 E) (r : ℝ) (x : E) : -ball p x r = ball p (-x) r := by ext;
   rw [mem_neg, mem_ball, mem_ball, ← neg_add', sub_neg_eq_add, map_neg_eq_map]
 #align seminorm.neg_ball Seminorm.neg_ball
 
@@ -1745,9 +1737,7 @@ theorem coe_normSeminorm : ⇑(normSeminorm 𝕜 E) = norm :=
 
 #print ball_normSeminorm /-
 @[simp]
-theorem ball_normSeminorm : (normSeminorm 𝕜 E).ball = Metric.ball :=
-  by
-  ext (x r y)
+theorem ball_normSeminorm : (normSeminorm 𝕜 E).ball = Metric.ball := by ext (x r y);
   simp only [Seminorm.mem_ball, Metric.mem_ball, coe_normSeminorm, dist_eq_norm]
 #align ball_norm_seminorm ball_normSeminorm
 -/
@@ -1761,10 +1751,8 @@ but is expected to have type
   forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : NormedField.{u2} 𝕜] [_inst_2 : SeminormedAddCommGroup.{u1} E] [_inst_3 : NormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2] {r : Real}, (LT.lt.{0} Real Real.instLTReal (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) r) -> (Absorbent.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3))))) (Metric.ball.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_2) (OfNat.ofNat.{u1} E 0 (Zero.toOfNat0.{u1} E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)))))))) r))
 Case conversion may be inaccurate. Consider using '#align absorbent_ball_zero absorbent_ball_zeroₓ'. -/
 /-- Balls at the origin are absorbent. -/
-theorem absorbent_ball_zero (hr : 0 < r) : Absorbent 𝕜 (Metric.ball (0 : E) r) :=
-  by
-  rw [← ball_normSeminorm 𝕜]
-  exact (normSeminorm _ _).absorbent_ball_zero hr
+theorem absorbent_ball_zero (hr : 0 < r) : Absorbent 𝕜 (Metric.ball (0 : E) r) := by
+  rw [← ball_normSeminorm 𝕜]; exact (normSeminorm _ _).absorbent_ball_zero hr
 #align absorbent_ball_zero absorbent_ball_zero
 
 /- warning: absorbent_ball -> absorbent_ball is a dubious translation:
@@ -1774,10 +1762,8 @@ but is expected to have type
   forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : SeminormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] {r : Real} {x : E}, (LT.lt.{0} Real Real.instLTReal (Norm.norm.{u2} E (SeminormedAddCommGroup.toNorm.{u2} E _inst_2) x) r) -> (Absorbent.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))))) (Metric.ball.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_2) x r))
 Case conversion may be inaccurate. Consider using '#align absorbent_ball absorbent_ballₓ'. -/
 /-- Balls containing the origin are absorbent. -/
-theorem absorbent_ball (hx : ‖x‖ < r) : Absorbent 𝕜 (Metric.ball x r) :=
-  by
-  rw [← ball_normSeminorm 𝕜]
-  exact (normSeminorm _ _).absorbent_ball hx
+theorem absorbent_ball (hx : ‖x‖ < r) : Absorbent 𝕜 (Metric.ball x r) := by
+  rw [← ball_normSeminorm 𝕜]; exact (normSeminorm _ _).absorbent_ball hx
 #align absorbent_ball absorbent_ball
 
 /- warning: balanced_ball_zero -> balanced_ball_zero is a dubious translation:
@@ -1787,9 +1773,7 @@ but is expected to have type
   forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : NormedField.{u2} 𝕜] [_inst_2 : SeminormedAddCommGroup.{u1} E] [_inst_3 : NormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2] {r : Real}, Balanced.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3))))) (Metric.ball.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_2) (OfNat.ofNat.{u1} E 0 (Zero.toOfNat0.{u1} E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)))))))) r)
 Case conversion may be inaccurate. Consider using '#align balanced_ball_zero balanced_ball_zeroₓ'. -/
 /-- Balls at the origin are balanced. -/
-theorem balanced_ball_zero : Balanced 𝕜 (Metric.ball (0 : E) r) :=
-  by
-  rw [← ball_normSeminorm 𝕜]
+theorem balanced_ball_zero : Balanced 𝕜 (Metric.ball (0 : E) r) := by rw [← ball_normSeminorm 𝕜];
   exact (normSeminorm _ _).balanced_ball_zero r
 #align balanced_ball_zero balanced_ball_zero
 

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

@@ -217,10 +217,7 @@ theorem coe_smul [SMul R ℝ] [SMul R ℝ≥0] [IsScalarTower R ℝ≥0 ℝ] (r
 #align seminorm.coe_smul Seminorm.coe_smul
 
 /- warning: seminorm.smul_apply -> Seminorm.smul_apply is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {𝕜 : Type.{u2}} {E : Type.{u3}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_2 : AddGroup.{u3} E] [_inst_3 : SMul.{u2, u3} 𝕜 E] [_inst_4 : SMul.{u1, 0} R Real] [_inst_5 : SMul.{u1, 0} R NNReal] [_inst_6 : IsScalarTower.{u1, 0, 0} R NNReal Real _inst_5 (SMulZeroClass.toHasSmul.{0, 0} NNReal Real (AddZeroClass.toHasZero.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real Real.addCommMonoid))) (SMulWithZero.toSmulZeroClass.{0, 0} NNReal Real (MulZeroClass.toHasZero.{0} NNReal (MulZeroOneClass.toMulZeroClass.{0} NNReal (MonoidWithZero.toMulZeroOneClass.{0} NNReal (Semiring.toMonoidWithZero.{0} NNReal NNReal.semiring)))) (AddZeroClass.toHasZero.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real Real.addCommMonoid))) (MulActionWithZero.toSMulWithZero.{0, 0} NNReal Real (Semiring.toMonoidWithZero.{0} NNReal NNReal.semiring) (AddZeroClass.toHasZero.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real Real.addCommMonoid))) (Module.toMulActionWithZero.{0, 0} NNReal Real NNReal.semiring Real.addCommMonoid (NNReal.module.{0} Real Real.addCommMonoid Real.module))))) _inst_4] (r : R) (p : Seminorm.{u2, u3} 𝕜 E _inst_1 _inst_2 _inst_3) (x : E), Eq.{1} Real (coeFn.{succ u3, succ u3} (Seminorm.{u2, u3} 𝕜 E _inst_1 _inst_2 _inst_3) (fun (_x : Seminorm.{u2, u3} 𝕜 E _inst_1 _inst_2 _inst_3) => E -> Real) (Seminorm.hasCoeToFun.{u2, u3} 𝕜 E _inst_1 _inst_2 _inst_3) (SMul.smul.{u1, u3} R (Seminorm.{u2, u3} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.hasSmul.{u1, u2, u3} R 𝕜 E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6) r p) x) (SMul.smul.{u1, 0} R Real _inst_4 r (coeFn.{succ u3, succ u3} (Seminorm.{u2, u3} 𝕜 E _inst_1 _inst_2 _inst_3) (fun (_x : Seminorm.{u2, u3} 𝕜 E _inst_1 _inst_2 _inst_3) => E -> Real) (Seminorm.hasCoeToFun.{u2, u3} 𝕜 E _inst_1 _inst_2 _inst_3) p x))
-but is expected to have type
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+<too large>
 Case conversion may be inaccurate. Consider using '#align seminorm.smul_apply Seminorm.smul_applyₓ'. -/
 @[simp]
 theorem smul_apply [SMul R ℝ] [SMul R ℝ≥0] [IsScalarTower R ℝ≥0 ℝ] (r : R) (p : Seminorm 𝕜 E)
@@ -427,20 +424,14 @@ def comp (p : Seminorm 𝕜₂ E₂) (f : E →ₛₗ[σ₁₂] E₂) : Seminorm
 -/
 
 /- warning: seminorm.coe_comp -> Seminorm.coe_comp is a dubious translation:
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(SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))) p) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_12 _inst_13) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_12 _inst_13) => E -> E₂) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜 𝕜₂ E E₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_12 _inst_13 σ₁₂) f))
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-  forall {𝕜 : Type.{u2}} {𝕜₂ : Type.{u4}} {E : Type.{u1}} {E₂ : Type.{u3}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_2 : SeminormedRing.{u4} 𝕜₂] {σ₁₂ : RingHom.{u2, u4} 𝕜 𝕜₂ (Semiring.toNonAssocSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (Semiring.toNonAssocSemiring.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))} [_inst_4 : RingHomIsometric.{u2, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (SeminormedRing.toNorm.{u2} 𝕜 _inst_1) (SeminormedRing.toNorm.{u4} 𝕜₂ _inst_2) σ₁₂] [_inst_7 : AddCommGroup.{u1} E] [_inst_8 : AddCommGroup.{u3} E₂] [_inst_12 : Module.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7)] [_inst_13 : Module.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8)] (p : Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ 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_inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) E₂ Real (AddZeroClass.toAdd.{u3} E₂ (AddMonoid.toAddZeroClass.{u3} E₂ (SubNegMonoid.toAddMonoid.{u3} E₂ (AddGroup.toSubNegMonoid.{u3} E₂ (AddCommGroup.toAddGroup.{u3} E₂ _inst_8))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u3, u3, 0} (Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) E₂ Real (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u3, u4, u3} (Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13)))) (Seminorm.instSeminormClass.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13)))))))) p) (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_12 _inst_13) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : E) => E₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_12 _inst_13 σ₁₂) f))
+<too large>
 Case conversion may be inaccurate. Consider using '#align seminorm.coe_comp Seminorm.coe_compₓ'. -/
 theorem coe_comp (p : Seminorm 𝕜₂ E₂) (f : E →ₛₗ[σ₁₂] E₂) : ⇑(p.comp f) = p ∘ f :=
   rfl
 #align seminorm.coe_comp Seminorm.coe_comp
 
 /- warning: seminorm.comp_apply -> Seminorm.comp_apply is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {𝕜₂ : Type.{u2}} {E : Type.{u3}} {E₂ : Type.{u4}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : SeminormedRing.{u2} 𝕜₂] {σ₁₂ : RingHom.{u1, u2} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))} [_inst_4 : RingHomIsometric.{u1, u2} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (SeminormedRing.toHasNorm.{u1} 𝕜 _inst_1) (SeminormedRing.toHasNorm.{u2} 𝕜₂ _inst_2) σ₁₂] [_inst_7 : AddCommGroup.{u3} E] [_inst_8 : AddCommGroup.{u4} E₂] [_inst_12 : Module.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)] [_inst_13 : Module.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)] (p : Seminorm.{u2, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) 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u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_12 _inst_13) => E -> E₂) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜 𝕜₂ E E₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_12 _inst_13 σ₁₂) f x))
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-  forall {𝕜 : Type.{u2}} {𝕜₂ : Type.{u4}} {E : Type.{u1}} {E₂ : Type.{u3}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_2 : SeminormedRing.{u4} 𝕜₂] {σ₁₂ : RingHom.{u2, u4} 𝕜 𝕜₂ (Semiring.toNonAssocSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (Semiring.toNonAssocSemiring.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))} [_inst_4 : RingHomIsometric.{u2, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (SeminormedRing.toNorm.{u2} 𝕜 _inst_1) (SeminormedRing.toNorm.{u4} 𝕜₂ _inst_2) σ₁₂] [_inst_7 : AddCommGroup.{u1} E] [_inst_8 : AddCommGroup.{u3} E₂] [_inst_12 : Module.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7)] [_inst_13 : Module.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8)] (p : 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(NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_7))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E 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(SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12)))) (Seminorm.instSeminormClass.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, 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(Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12)))))))) (Seminorm.comp.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 p f) x) (FunLike.coe.{succ u3, succ u3, 1} (Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ 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(SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) E₂ Real (AddZeroClass.toAdd.{u3} E₂ (AddMonoid.toAddZeroClass.{u3} E₂ (SubNegMonoid.toAddMonoid.{u3} E₂ (AddGroup.toSubNegMonoid.{u3} E₂ (AddCommGroup.toAddGroup.{u3} E₂ _inst_8))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u3, u3, 0} (Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) E₂ Real (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u3, u4, u3} (Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13)))) (Seminorm.instSeminormClass.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13)))))))) p (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_12 _inst_13) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : E) => E₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_12 _inst_13 σ₁₂) f x))
+<too large>
 Case conversion may be inaccurate. Consider using '#align seminorm.comp_apply Seminorm.comp_applyₓ'. -/
 @[simp]
 theorem comp_apply (p : Seminorm 𝕜₂ E₂) (f : E →ₛₗ[σ₁₂] E₂) (x : E) : (p.comp f) x = p (f x) :=
@@ -459,10 +450,7 @@ theorem comp_id (p : Seminorm 𝕜 E) : p.comp LinearMap.id = p :=
 #align seminorm.comp_id Seminorm.comp_id
 
 /- warning: seminorm.comp_zero -> Seminorm.comp_zero is a dubious translation:
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E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))))))
-but is expected to have type
-  forall {𝕜 : Type.{u1}} {𝕜₂ : Type.{u4}} {E : Type.{u2}} {E₂ : Type.{u3}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : SeminormedRing.{u4} 𝕜₂] {σ₁₂ : RingHom.{u1, u4} 𝕜 𝕜₂ (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (Semiring.toNonAssocSemiring.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))} [_inst_4 : RingHomIsometric.{u1, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (SeminormedRing.toNorm.{u1} 𝕜 _inst_1) (SeminormedRing.toNorm.{u4} 𝕜₂ _inst_2) σ₁₂] [_inst_7 : AddCommGroup.{u2} E] [_inst_8 : AddCommGroup.{u3} E₂] [_inst_12 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)] [_inst_13 : Module.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8)] (p : Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))), Eq.{succ u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Seminorm.comp.{u1, u4, u2, u3} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 p (OfNat.ofNat.{max u2 u3} (LinearMap.{u1, u4, u2, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_12 _inst_13) 0 (Zero.toOfNat0.{max u2 u3} (LinearMap.{u1, u4, u2, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_12 _inst_13) (LinearMap.instZeroLinearMap.{u1, u4, u2, u3} 𝕜 𝕜₂ E E₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_12 _inst_13 σ₁₂)))) (OfNat.ofNat.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) 0 (Zero.toOfNat0.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Seminorm.instZero.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))))))
+<too large>
 Case conversion may be inaccurate. Consider using '#align seminorm.comp_zero Seminorm.comp_zeroₓ'. -/
 @[simp]
 theorem comp_zero (p : Seminorm 𝕜₂ E₂) : p.comp (0 : E →ₛₗ[σ₁₂] E₂) = 0 :=
@@ -470,10 +458,7 @@ theorem comp_zero (p : Seminorm 𝕜₂ E₂) : p.comp (0 : E →ₛₗ[σ₁₂
 #align seminorm.comp_zero Seminorm.comp_zero
 
 /- warning: seminorm.zero_comp -> Seminorm.zero_comp is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {𝕜₂ : Type.{u2}} {E : Type.{u3}} {E₂ : Type.{u4}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : SeminormedRing.{u2} 𝕜₂] {σ₁₂ : RingHom.{u1, u2} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))} [_inst_4 : RingHomIsometric.{u1, u2} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (SeminormedRing.toHasNorm.{u1} 𝕜 _inst_1) (SeminormedRing.toHasNorm.{u2} 𝕜₂ _inst_2) σ₁₂] [_inst_7 : AddCommGroup.{u3} E] [_inst_8 : AddCommGroup.{u4} E₂] [_inst_12 : Module.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)] [_inst_13 : Module.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)] (f : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_12 _inst_13), Eq.{succ u3} (Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))) (Seminorm.comp.{u1, u2, u3, u4} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 (OfNat.ofNat.{u4} (Seminorm.{u2, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))) 0 (OfNat.mk.{u4} (Seminorm.{u2, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))) 0 (Zero.zero.{u4} (Seminorm.{u2, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))) (Seminorm.hasZero.{u2, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13)))))))) f) (OfNat.ofNat.{u3} (Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) 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(AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))) 0 (Zero.zero.{u3} (Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))) (Seminorm.hasZero.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))))))
-but is expected to have type
-  forall {𝕜 : Type.{u4}} {𝕜₂ : Type.{u3}} {E : Type.{u2}} {E₂ : Type.{u1}} [_inst_1 : SeminormedRing.{u4} 𝕜] [_inst_2 : SeminormedRing.{u3} 𝕜₂] {σ₁₂ : RingHom.{u4, u3} 𝕜 𝕜₂ (Semiring.toNonAssocSemiring.{u4} 𝕜 (Ring.toSemiring.{u4} 𝕜 (SeminormedRing.toRing.{u4} 𝕜 _inst_1))) (Semiring.toNonAssocSemiring.{u3} 𝕜₂ (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2)))} [_inst_4 : RingHomIsometric.{u4, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u4} 𝕜 (SeminormedRing.toRing.{u4} 𝕜 _inst_1)) (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2)) (SeminormedRing.toNorm.{u4} 𝕜 _inst_1) (SeminormedRing.toNorm.{u3} 𝕜₂ _inst_2) σ₁₂] [_inst_7 : AddCommGroup.{u2} E] [_inst_8 : AddCommGroup.{u1} E₂] [_inst_12 : Module.{u4, u2} 𝕜 E (Ring.toSemiring.{u4} 𝕜 (SeminormedRing.toRing.{u4} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)] [_inst_13 : Module.{u3, u1} 𝕜₂ E₂ (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} E₂ _inst_8)] (f : LinearMap.{u4, u3, u2, u1} 𝕜 𝕜₂ (Ring.toSemiring.{u4} 𝕜 (SeminormedRing.toRing.{u4} 𝕜 _inst_1)) (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) (AddCommGroup.toAddCommMonoid.{u1} E₂ _inst_8) _inst_12 _inst_13), Eq.{succ u2} (Seminorm.{u4, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u4, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u4, u2} 𝕜 E (MonoidWithZero.toZero.{u4} 𝕜 (Semiring.toMonoidWithZero.{u4} 𝕜 (Ring.toSemiring.{u4} 𝕜 (SeminormedRing.toRing.{u4} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u4, u2} 𝕜 E (Semiring.toMonoidWithZero.{u4} 𝕜 (Ring.toSemiring.{u4} 𝕜 (SeminormedRing.toRing.{u4} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u4, u2} 𝕜 E (Ring.toSemiring.{u4} 𝕜 (SeminormedRing.toRing.{u4} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Seminorm.comp.{u4, u3, u2, u1} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 (OfNat.ofNat.{u1} (Seminorm.{u3, u1} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u1} E₂ _inst_8) (SMulZeroClass.toSMul.{u3, u1} 𝕜₂ E₂ (NegZeroClass.toZero.{u1} E₂ (SubNegZeroMonoid.toNegZeroClass.{u1} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u3, u1} 𝕜₂ E₂ (MonoidWithZero.toZero.{u3} 𝕜₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u1} E₂ (SubNegZeroMonoid.toNegZeroClass.{u1} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u3, u1} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u1} E₂ (SubNegZeroMonoid.toNegZeroClass.{u1} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} E₂ _inst_8))))) (Module.toMulActionWithZero.{u3, u1} 𝕜₂ E₂ (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} E₂ _inst_8) _inst_13))))) 0 (Zero.toOfNat0.{u1} (Seminorm.{u3, u1} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u1} E₂ _inst_8) (SMulZeroClass.toSMul.{u3, u1} 𝕜₂ E₂ (NegZeroClass.toZero.{u1} E₂ (SubNegZeroMonoid.toNegZeroClass.{u1} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u3, u1} 𝕜₂ E₂ (MonoidWithZero.toZero.{u3} 𝕜₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u1} E₂ (SubNegZeroMonoid.toNegZeroClass.{u1} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u3, u1} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u1} E₂ (SubNegZeroMonoid.toNegZeroClass.{u1} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} E₂ _inst_8))))) (Module.toMulActionWithZero.{u3, u1} 𝕜₂ E₂ (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} E₂ _inst_8) _inst_13))))) (Seminorm.instZero.{u3, u1} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u1} E₂ _inst_8) (SMulZeroClass.toSMul.{u3, u1} 𝕜₂ E₂ (NegZeroClass.toZero.{u1} E₂ (SubNegZeroMonoid.toNegZeroClass.{u1} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u3, u1} 𝕜₂ E₂ (MonoidWithZero.toZero.{u3} 𝕜₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u1} E₂ (SubNegZeroMonoid.toNegZeroClass.{u1} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u3, u1} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u1} E₂ (SubNegZeroMonoid.toNegZeroClass.{u1} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} E₂ _inst_8))))) (Module.toMulActionWithZero.{u3, u1} 𝕜₂ E₂ (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} E₂ _inst_8) _inst_13))))))) f) (OfNat.ofNat.{u2} (Seminorm.{u4, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u4, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u4, u2} 𝕜 E (MonoidWithZero.toZero.{u4} 𝕜 (Semiring.toMonoidWithZero.{u4} 𝕜 (Ring.toSemiring.{u4} 𝕜 (SeminormedRing.toRing.{u4} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u4, u2} 𝕜 E (Semiring.toMonoidWithZero.{u4} 𝕜 (Ring.toSemiring.{u4} 𝕜 (SeminormedRing.toRing.{u4} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u4, u2} 𝕜 E (Ring.toSemiring.{u4} 𝕜 (SeminormedRing.toRing.{u4} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) 0 (Zero.toOfNat0.{u2} (Seminorm.{u4, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u4, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u4, u2} 𝕜 E (MonoidWithZero.toZero.{u4} 𝕜 (Semiring.toMonoidWithZero.{u4} 𝕜 (Ring.toSemiring.{u4} 𝕜 (SeminormedRing.toRing.{u4} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u4, u2} 𝕜 E (Semiring.toMonoidWithZero.{u4} 𝕜 (Ring.toSemiring.{u4} 𝕜 (SeminormedRing.toRing.{u4} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u4, u2} 𝕜 E (Ring.toSemiring.{u4} 𝕜 (SeminormedRing.toRing.{u4} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Seminorm.instZero.{u4, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u4, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u4, u2} 𝕜 E (MonoidWithZero.toZero.{u4} 𝕜 (Semiring.toMonoidWithZero.{u4} 𝕜 (Ring.toSemiring.{u4} 𝕜 (SeminormedRing.toRing.{u4} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u4, u2} 𝕜 E (Semiring.toMonoidWithZero.{u4} 𝕜 (Ring.toSemiring.{u4} 𝕜 (SeminormedRing.toRing.{u4} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u4, u2} 𝕜 E (Ring.toSemiring.{u4} 𝕜 (SeminormedRing.toRing.{u4} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))))))
+<too large>
 Case conversion may be inaccurate. Consider using '#align seminorm.zero_comp Seminorm.zero_compₓ'. -/
 @[simp]
 theorem zero_comp (f : E →ₛₗ[σ₁₂] E₂) : (0 : Seminorm 𝕜₂ E₂).comp f = 0 :=
@@ -481,10 +466,7 @@ theorem zero_comp (f : E →ₛₗ[σ₁₂] E₂) : (0 : Seminorm 𝕜₂ E₂)
 #align seminorm.zero_comp Seminorm.zero_comp
 
 /- warning: seminorm.comp_comp -> Seminorm.comp_comp is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {𝕜₂ : Type.{u2}} {𝕜₃ : Type.{u3}} {E : Type.{u4}} {E₂ : Type.{u5}} {E₃ : Type.{u6}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : SeminormedRing.{u2} 𝕜₂] [_inst_3 : SeminormedRing.{u3} 𝕜₃] {σ₁₂ : RingHom.{u1, u2} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))} [_inst_4 : RingHomIsometric.{u1, u2} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (SeminormedRing.toHasNorm.{u1} 𝕜 _inst_1) (SeminormedRing.toHasNorm.{u2} 𝕜₂ _inst_2) σ₁₂] {σ₂₃ : RingHom.{u2, u3} 𝕜₂ 𝕜₃ (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (NonAssocRing.toNonAssocSemiring.{u3} 𝕜₃ (Ring.toNonAssocRing.{u3} 𝕜₃ (SeminormedRing.toRing.{u3} 𝕜₃ _inst_3)))} [_inst_5 : RingHomIsometric.{u2, u3} 𝕜₂ 𝕜₃ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (Ring.toSemiring.{u3} 𝕜₃ (SeminormedRing.toRing.{u3} 𝕜₃ _inst_3)) (SeminormedRing.toHasNorm.{u2} 𝕜₂ _inst_2) (SeminormedRing.toHasNorm.{u3} 𝕜₃ _inst_3) σ₂₃] {σ₁₃ : RingHom.{u1, u3} 𝕜 𝕜₃ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NonAssocRing.toNonAssocSemiring.{u3} 𝕜₃ (Ring.toNonAssocRing.{u3} 𝕜₃ (SeminormedRing.toRing.{u3} 𝕜₃ _inst_3)))} [_inst_6 : RingHomIsometric.{u1, u3} 𝕜 𝕜₃ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u3} 𝕜₃ (SeminormedRing.toRing.{u3} 𝕜₃ _inst_3)) (SeminormedRing.toHasNorm.{u1} 𝕜 _inst_1) (SeminormedRing.toHasNorm.{u3} 𝕜₃ _inst_3) σ₁₃] [_inst_7 : AddCommGroup.{u4} E] [_inst_8 : AddCommGroup.{u5} E₂] [_inst_9 : AddCommGroup.{u6} E₃] [_inst_12 : Module.{u1, u4} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} E _inst_7)] [_inst_13 : Module.{u2, u5} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u5} E₂ _inst_8)] [_inst_14 : Module.{u3, u6} 𝕜₃ E₃ (Ring.toSemiring.{u3} 𝕜₃ (SeminormedRing.toRing.{u3} 𝕜₃ _inst_3)) (AddCommGroup.toAddCommMonoid.{u6} E₃ _inst_9)] [_inst_20 : RingHomCompTriple.{u1, u2, u3} 𝕜 𝕜₂ 𝕜₃ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (Ring.toSemiring.{u3} 𝕜₃ (SeminormedRing.toRing.{u3} 𝕜₃ _inst_3)) σ₁₂ σ₂₃ σ₁₃] (p : Seminorm.{u3, u6} 𝕜₃ E₃ _inst_3 (AddCommGroup.toAddGroup.{u6} E₃ _inst_9) (SMulZeroClass.toHasSmul.{u3, u6} 𝕜₃ E₃ (AddZeroClass.toHasZero.{u6} E₃ (AddMonoid.toAddZeroClass.{u6} E₃ (AddCommMonoid.toAddMonoid.{u6} E₃ (AddCommGroup.toAddCommMonoid.{u6} E₃ _inst_9)))) (SMulWithZero.toSmulZeroClass.{u3, u6} 𝕜₃ E₃ (MulZeroClass.toHasZero.{u3} 𝕜₃ (MulZeroOneClass.toMulZeroClass.{u3} 𝕜₃ (MonoidWithZero.toMulZeroOneClass.{u3} 𝕜₃ (Semiring.toMonoidWithZero.{u3} 𝕜₃ (Ring.toSemiring.{u3} 𝕜₃ (SeminormedRing.toRing.{u3} 𝕜₃ _inst_3)))))) (AddZeroClass.toHasZero.{u6} E₃ (AddMonoid.toAddZeroClass.{u6} E₃ (AddCommMonoid.toAddMonoid.{u6} E₃ (AddCommGroup.toAddCommMonoid.{u6} E₃ _inst_9)))) (MulActionWithZero.toSMulWithZero.{u3, u6} 𝕜₃ E₃ (Semiring.toMonoidWithZero.{u3} 𝕜₃ (Ring.toSemiring.{u3} 𝕜₃ (SeminormedRing.toRing.{u3} 𝕜₃ _inst_3))) (AddZeroClass.toHasZero.{u6} E₃ (AddMonoid.toAddZeroClass.{u6} E₃ (AddCommMonoid.toAddMonoid.{u6} E₃ (AddCommGroup.toAddCommMonoid.{u6} E₃ _inst_9)))) (Module.toMulActionWithZero.{u3, u6} 𝕜₃ E₃ (Ring.toSemiring.{u3} 𝕜₃ (SeminormedRing.toRing.{u3} 𝕜₃ _inst_3)) (AddCommGroup.toAddCommMonoid.{u6} E₃ _inst_9) _inst_14))))) (g : LinearMap.{u2, u3, u5, u6} 𝕜₂ 𝕜₃ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (Ring.toSemiring.{u3} 𝕜₃ (SeminormedRing.toRing.{u3} 𝕜₃ _inst_3)) σ₂₃ E₂ E₃ (AddCommGroup.toAddCommMonoid.{u5} E₂ _inst_8) (AddCommGroup.toAddCommMonoid.{u6} E₃ 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(MulActionWithZero.toSMulWithZero.{u1, u4} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u4} E (AddMonoid.toAddZeroClass.{u4} E (AddCommMonoid.toAddMonoid.{u4} E (AddCommGroup.toAddCommMonoid.{u4} E _inst_7)))) (Module.toMulActionWithZero.{u1, u4} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} E _inst_7) _inst_12))))) (Seminorm.comp.{u1, u3, u4, u6} 𝕜 𝕜₃ E E₃ _inst_1 _inst_3 σ₁₃ _inst_6 _inst_7 _inst_9 _inst_12 _inst_14 p (LinearMap.comp.{u1, u2, u3, u4, u5, u6} 𝕜 𝕜₂ 𝕜₃ E E₂ E₃ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (Ring.toSemiring.{u3} 𝕜₃ (SeminormedRing.toRing.{u3} 𝕜₃ _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} E _inst_7) (AddCommGroup.toAddCommMonoid.{u5} E₂ _inst_8) (AddCommGroup.toAddCommMonoid.{u6} E₃ _inst_9) _inst_12 _inst_13 _inst_14 σ₁₂ σ₂₃ σ₁₃ _inst_20 g f)) (Seminorm.comp.{u1, u2, u4, u5} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 (Seminorm.comp.{u2, u3, u5, u6} 𝕜₂ 𝕜₃ E₂ E₃ _inst_2 _inst_3 σ₂₃ _inst_5 _inst_8 _inst_9 _inst_13 _inst_14 p g) f)
-but is expected to have type
-  forall {𝕜 : Type.{u6}} {𝕜₂ : Type.{u5}} {𝕜₃ : Type.{u4}} {E : Type.{u1}} {E₂ : Type.{u2}} {E₃ : Type.{u3}} [_inst_1 : SeminormedRing.{u6} 𝕜] [_inst_2 : SeminormedRing.{u5} 𝕜₂] [_inst_3 : SeminormedRing.{u4} 𝕜₃] {σ₁₂ : RingHom.{u6, u5} 𝕜 𝕜₂ (Semiring.toNonAssocSemiring.{u6} 𝕜 (Ring.toSemiring.{u6} 𝕜 (SeminormedRing.toRing.{u6} 𝕜 _inst_1))) (Semiring.toNonAssocSemiring.{u5} 𝕜₂ (Ring.toSemiring.{u5} 𝕜₂ (SeminormedRing.toRing.{u5} 𝕜₂ _inst_2)))} [_inst_4 : RingHomIsometric.{u6, u5} 𝕜 𝕜₂ (Ring.toSemiring.{u6} 𝕜 (SeminormedRing.toRing.{u6} 𝕜 _inst_1)) (Ring.toSemiring.{u5} 𝕜₂ (SeminormedRing.toRing.{u5} 𝕜₂ _inst_2)) (SeminormedRing.toNorm.{u6} 𝕜 _inst_1) (SeminormedRing.toNorm.{u5} 𝕜₂ _inst_2) σ₁₂] {σ₂₃ : RingHom.{u5, u4} 𝕜₂ 𝕜₃ (Semiring.toNonAssocSemiring.{u5} 𝕜₂ (Ring.toSemiring.{u5} 𝕜₂ (SeminormedRing.toRing.{u5} 𝕜₂ _inst_2))) (Semiring.toNonAssocSemiring.{u4} 𝕜₃ (Ring.toSemiring.{u4} 𝕜₃ (SeminormedRing.toRing.{u4} 𝕜₃ _inst_3)))} [_inst_5 : RingHomIsometric.{u5, u4} 𝕜₂ 𝕜₃ (Ring.toSemiring.{u5} 𝕜₂ (SeminormedRing.toRing.{u5} 𝕜₂ _inst_2)) (Ring.toSemiring.{u4} 𝕜₃ (SeminormedRing.toRing.{u4} 𝕜₃ _inst_3)) (SeminormedRing.toNorm.{u5} 𝕜₂ _inst_2) (SeminormedRing.toNorm.{u4} 𝕜₃ _inst_3) σ₂₃] {σ₁₃ : RingHom.{u6, u4} 𝕜 𝕜₃ (Semiring.toNonAssocSemiring.{u6} 𝕜 (Ring.toSemiring.{u6} 𝕜 (SeminormedRing.toRing.{u6} 𝕜 _inst_1))) (Semiring.toNonAssocSemiring.{u4} 𝕜₃ (Ring.toSemiring.{u4} 𝕜₃ (SeminormedRing.toRing.{u4} 𝕜₃ _inst_3)))} [_inst_6 : RingHomIsometric.{u6, u4} 𝕜 𝕜₃ (Ring.toSemiring.{u6} 𝕜 (SeminormedRing.toRing.{u6} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₃ (SeminormedRing.toRing.{u4} 𝕜₃ _inst_3)) (SeminormedRing.toNorm.{u6} 𝕜 _inst_1) (SeminormedRing.toNorm.{u4} 𝕜₃ _inst_3) σ₁₃] [_inst_7 : AddCommGroup.{u1} E] [_inst_8 : AddCommGroup.{u2} E₂] [_inst_9 : AddCommGroup.{u3} E₃] [_inst_12 : Module.{u6, u1} 𝕜 E (Ring.toSemiring.{u6} 𝕜 (SeminormedRing.toRing.{u6} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7)] [_inst_13 : Module.{u5, u2} 𝕜₂ E₂ (Ring.toSemiring.{u5} 𝕜₂ (SeminormedRing.toRing.{u5} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E₂ _inst_8)] [_inst_14 : Module.{u4, u3} 𝕜₃ E₃ (Ring.toSemiring.{u4} 𝕜₃ (SeminormedRing.toRing.{u4} 𝕜₃ _inst_3)) (AddCommGroup.toAddCommMonoid.{u3} E₃ _inst_9)] [_inst_20 : RingHomCompTriple.{u6, u5, u4} 𝕜 𝕜₂ 𝕜₃ (Ring.toSemiring.{u6} 𝕜 (SeminormedRing.toRing.{u6} 𝕜 _inst_1)) (Ring.toSemiring.{u5} 𝕜₂ (SeminormedRing.toRing.{u5} 𝕜₂ _inst_2)) (Ring.toSemiring.{u4} 𝕜₃ (SeminormedRing.toRing.{u4} 𝕜₃ _inst_3)) σ₁₂ σ₂₃ σ₁₃] (p : Seminorm.{u4, u3} 𝕜₃ E₃ _inst_3 (AddCommGroup.toAddGroup.{u3} E₃ _inst_9) (SMulZeroClass.toSMul.{u4, u3} 𝕜₃ E₃ (NegZeroClass.toZero.{u3} E₃ (SubNegZeroMonoid.toNegZeroClass.{u3} E₃ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₃ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₃ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₃ _inst_9))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₃ E₃ (MonoidWithZero.toZero.{u4} 𝕜₃ (Semiring.toMonoidWithZero.{u4} 𝕜₃ (Ring.toSemiring.{u4} 𝕜₃ (SeminormedRing.toRing.{u4} 𝕜₃ _inst_3)))) (NegZeroClass.toZero.{u3} E₃ (SubNegZeroMonoid.toNegZeroClass.{u3} E₃ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₃ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₃ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₃ _inst_9))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₃ E₃ (Semiring.toMonoidWithZero.{u4} 𝕜₃ (Ring.toSemiring.{u4} 𝕜₃ (SeminormedRing.toRing.{u4} 𝕜₃ _inst_3))) (NegZeroClass.toZero.{u3} E₃ (SubNegZeroMonoid.toNegZeroClass.{u3} E₃ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₃ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₃ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₃ _inst_9))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₃ E₃ (Ring.toSemiring.{u4} 𝕜₃ (SeminormedRing.toRing.{u4} 𝕜₃ _inst_3)) (AddCommGroup.toAddCommMonoid.{u3} E₃ _inst_9) _inst_14))))) (g : LinearMap.{u5, u4, u2, u3} 𝕜₂ 𝕜₃ (Ring.toSemiring.{u5} 𝕜₂ (SeminormedRing.toRing.{u5} 𝕜₂ _inst_2)) (Ring.toSemiring.{u4} 𝕜₃ (SeminormedRing.toRing.{u4} 𝕜₃ _inst_3)) σ₂₃ E₂ E₃ (AddCommGroup.toAddCommMonoid.{u2} E₂ _inst_8) (AddCommGroup.toAddCommMonoid.{u3} E₃ _inst_9) _inst_13 _inst_14) (f : LinearMap.{u6, u5, u1, u2} 𝕜 𝕜₂ (Ring.toSemiring.{u6} 𝕜 (SeminormedRing.toRing.{u6} 𝕜 _inst_1)) (Ring.toSemiring.{u5} 𝕜₂ (SeminormedRing.toRing.{u5} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) (AddCommGroup.toAddCommMonoid.{u2} E₂ _inst_8) _inst_12 _inst_13), Eq.{succ u1} (Seminorm.{u6, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u6, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u6, u1} 𝕜 E (MonoidWithZero.toZero.{u6} 𝕜 (Semiring.toMonoidWithZero.{u6} 𝕜 (Ring.toSemiring.{u6} 𝕜 (SeminormedRing.toRing.{u6} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u6, u1} 𝕜 E (Semiring.toMonoidWithZero.{u6} 𝕜 (Ring.toSemiring.{u6} 𝕜 (SeminormedRing.toRing.{u6} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u6, u1} 𝕜 E (Ring.toSemiring.{u6} 𝕜 (SeminormedRing.toRing.{u6} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (Seminorm.comp.{u6, u4, u1, u3} 𝕜 𝕜₃ E E₃ _inst_1 _inst_3 σ₁₃ _inst_6 _inst_7 _inst_9 _inst_12 _inst_14 p (LinearMap.comp.{u6, u5, u4, u1, u2, u3} 𝕜 𝕜₂ 𝕜₃ E E₂ E₃ (Ring.toSemiring.{u6} 𝕜 (SeminormedRing.toRing.{u6} 𝕜 _inst_1)) (Ring.toSemiring.{u5} 𝕜₂ (SeminormedRing.toRing.{u5} 𝕜₂ _inst_2)) (Ring.toSemiring.{u4} 𝕜₃ (SeminormedRing.toRing.{u4} 𝕜₃ _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) (AddCommGroup.toAddCommMonoid.{u2} E₂ _inst_8) (AddCommGroup.toAddCommMonoid.{u3} E₃ _inst_9) _inst_12 _inst_13 _inst_14 σ₁₂ σ₂₃ σ₁₃ _inst_20 g f)) (Seminorm.comp.{u6, u5, u1, u2} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 (Seminorm.comp.{u5, u4, u2, u3} 𝕜₂ 𝕜₃ E₂ E₃ _inst_2 _inst_3 σ₂₃ _inst_5 _inst_8 _inst_9 _inst_13 _inst_14 p g) f)
+<too large>
 Case conversion may be inaccurate. Consider using '#align seminorm.comp_comp Seminorm.comp_compₓ'. -/
 theorem comp_comp [RingHomCompTriple σ₁₂ σ₂₃ σ₁₃] (p : Seminorm 𝕜₃ E₃) (g : E₂ →ₛₗ[σ₂₃] E₃)
     (f : E →ₛₗ[σ₁₂] E₂) : p.comp (g.comp f) = (p.comp g).comp f :=
@@ -492,10 +474,7 @@ theorem comp_comp [RingHomCompTriple σ₁₂ σ₂₃ σ₁₃] (p : Seminorm 
 #align seminorm.comp_comp Seminorm.comp_comp
 
 /- warning: seminorm.add_comp -> Seminorm.add_comp is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {𝕜₂ : Type.{u2}} {E : Type.{u3}} {E₂ : Type.{u4}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : SeminormedRing.{u2} 𝕜₂] {σ₁₂ : RingHom.{u1, u2} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))} [_inst_4 : RingHomIsometric.{u1, u2} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (SeminormedRing.toHasNorm.{u1} 𝕜 _inst_1) (SeminormedRing.toHasNorm.{u2} 𝕜₂ _inst_2) σ₁₂] [_inst_7 : AddCommGroup.{u3} E] [_inst_8 : AddCommGroup.{u4} E₂] [_inst_12 : Module.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)] [_inst_13 : Module.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)] (p : Seminorm.{u2, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))) (q : Seminorm.{u2, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))) (f : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_12 _inst_13), Eq.{succ u3} (Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))) (Seminorm.comp.{u1, u2, u3, u4} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 (HAdd.hAdd.{u4, u4, u4} (Seminorm.{u2, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))) (Seminorm.{u2, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))) (Seminorm.{u2, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))) (instHAdd.{u4} (Seminorm.{u2, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))) (Seminorm.hasAdd.{u2, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13)))))) p q) f) (HAdd.hAdd.{u3, u3, u3} (Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))) (Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))) (Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))) (instHAdd.{u3} (Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))) (Seminorm.hasAdd.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12)))))) (Seminorm.comp.{u1, u2, u3, u4} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 p f) (Seminorm.comp.{u1, u2, u3, u4} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 q f))
-but is expected to have type
-  forall {𝕜 : Type.{u2}} {𝕜₂ : Type.{u4}} {E : Type.{u1}} {E₂ : Type.{u3}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_2 : SeminormedRing.{u4} 𝕜₂] {σ₁₂ : RingHom.{u2, u4} 𝕜 𝕜₂ (Semiring.toNonAssocSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (Semiring.toNonAssocSemiring.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))} [_inst_4 : RingHomIsometric.{u2, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (SeminormedRing.toNorm.{u2} 𝕜 _inst_1) (SeminormedRing.toNorm.{u4} 𝕜₂ _inst_2) σ₁₂] [_inst_7 : AddCommGroup.{u1} E] [_inst_8 : AddCommGroup.{u3} E₂] [_inst_12 : Module.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7)] [_inst_13 : Module.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8)] (p : Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) (q : Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) (f : LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_12 _inst_13), Eq.{succ u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (Seminorm.comp.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 (HAdd.hAdd.{u3, u3, u3} (Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) (Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) (Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) (instHAdd.{u3} (Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) (Seminorm.instAdd.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13)))))) p q) f) (HAdd.hAdd.{u1, u1, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (instHAdd.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (Seminorm.instAdd.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12)))))) (Seminorm.comp.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 p f) (Seminorm.comp.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 q f))
+<too large>
 Case conversion may be inaccurate. Consider using '#align seminorm.add_comp Seminorm.add_compₓ'. -/
 theorem add_comp (p q : Seminorm 𝕜₂ E₂) (f : E →ₛₗ[σ₁₂] E₂) :
     (p + q).comp f = p.comp f + q.comp f :=
@@ -503,20 +482,14 @@ theorem add_comp (p q : Seminorm 𝕜₂ E₂) (f : E →ₛₗ[σ₁₂] E₂)
 #align seminorm.add_comp Seminorm.add_comp
 
 /- warning: seminorm.comp_add_le -> Seminorm.comp_add_le is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {𝕜₂ : Type.{u2}} {E : Type.{u3}} {E₂ : Type.{u4}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : SeminormedRing.{u2} 𝕜₂] {σ₁₂ : RingHom.{u1, u2} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))} [_inst_4 : RingHomIsometric.{u1, u2} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (SeminormedRing.toHasNorm.{u1} 𝕜 _inst_1) (SeminormedRing.toHasNorm.{u2} 𝕜₂ _inst_2) σ₁₂] [_inst_7 : AddCommGroup.{u3} E] [_inst_8 : AddCommGroup.{u4} E₂] [_inst_12 : Module.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)] [_inst_13 : Module.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)] (p : Seminorm.{u2, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))) (f : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_12 _inst_13) (g : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_12 _inst_13), LE.le.{u3} (Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))) (Preorder.toHasLe.{u3} (Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))) (PartialOrder.toPreorder.{u3} (Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))) (Seminorm.partialOrder.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))))) (Seminorm.comp.{u1, u2, u3, u4} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 p (HAdd.hAdd.{max u3 u4, max u3 u4, max u3 u4} (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_12 _inst_13) (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_12 _inst_13) (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_12 _inst_13) (instHAdd.{max u3 u4} (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_12 _inst_13) (LinearMap.hasAdd.{u1, u2, u3, u4} 𝕜 𝕜₂ E E₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_12 _inst_13 σ₁₂)) f g)) (HAdd.hAdd.{u3, u3, u3} (Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))) (Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))) (Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))) (instHAdd.{u3} (Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))) (Seminorm.hasAdd.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12)))))) (Seminorm.comp.{u1, u2, u3, u4} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 p f) (Seminorm.comp.{u1, u2, u3, u4} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 p g))
-but is expected to have type
-  forall {𝕜 : Type.{u2}} {𝕜₂ : Type.{u4}} {E : Type.{u1}} {E₂ : Type.{u3}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_2 : SeminormedRing.{u4} 𝕜₂] {σ₁₂ : RingHom.{u2, u4} 𝕜 𝕜₂ (Semiring.toNonAssocSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (Semiring.toNonAssocSemiring.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))} [_inst_4 : RingHomIsometric.{u2, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (SeminormedRing.toNorm.{u2} 𝕜 _inst_1) (SeminormedRing.toNorm.{u4} 𝕜₂ _inst_2) σ₁₂] [_inst_7 : AddCommGroup.{u1} E] [_inst_8 : AddCommGroup.{u3} E₂] [_inst_12 : Module.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7)] [_inst_13 : Module.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8)] (p : Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) (f : LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_12 _inst_13) (g : LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_12 _inst_13), LE.le.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (Preorder.toLE.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (PartialOrder.toPreorder.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (Seminorm.instPartialOrder.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))))) (Seminorm.comp.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 p (HAdd.hAdd.{max u1 u3, max u1 u3, max u1 u3} (LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_12 _inst_13) (LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_12 _inst_13) (LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_12 _inst_13) (instHAdd.{max u1 u3} (LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_12 _inst_13) (LinearMap.instAddLinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_12 _inst_13 σ₁₂)) f g)) (HAdd.hAdd.{u1, u1, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (instHAdd.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (Seminorm.instAdd.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12)))))) (Seminorm.comp.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 p f) (Seminorm.comp.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 p g))
+<too large>
 Case conversion may be inaccurate. Consider using '#align seminorm.comp_add_le Seminorm.comp_add_leₓ'. -/
 theorem comp_add_le (p : Seminorm 𝕜₂ E₂) (f g : E →ₛₗ[σ₁₂] E₂) :
     p.comp (f + g) ≤ p.comp f + p.comp g := fun _ => map_add_le_add p _ _
 #align seminorm.comp_add_le Seminorm.comp_add_le
 
 /- warning: seminorm.smul_comp -> Seminorm.smul_comp is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {𝕜 : Type.{u2}} {𝕜₂ : Type.{u3}} {E : Type.{u4}} {E₂ : Type.{u5}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_2 : SeminormedRing.{u3} 𝕜₂] {σ₁₂ : RingHom.{u2, u3} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NonAssocRing.toNonAssocSemiring.{u3} 𝕜₂ (Ring.toNonAssocRing.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2)))} [_inst_4 : RingHomIsometric.{u2, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2)) (SeminormedRing.toHasNorm.{u2} 𝕜 _inst_1) (SeminormedRing.toHasNorm.{u3} 𝕜₂ _inst_2) σ₁₂] [_inst_7 : AddCommGroup.{u4} E] [_inst_8 : AddCommGroup.{u5} E₂] [_inst_12 : Module.{u2, u4} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} E _inst_7)] [_inst_13 : Module.{u3, u5} 𝕜₂ E₂ (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u5} E₂ _inst_8)] [_inst_17 : SMul.{u1, 0} R Real] [_inst_18 : SMul.{u1, 0} R NNReal] [_inst_19 : IsScalarTower.{u1, 0, 0} R NNReal Real _inst_18 (SMulZeroClass.toHasSmul.{0, 0} NNReal Real (AddZeroClass.toHasZero.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real Real.addCommMonoid))) (SMulWithZero.toSmulZeroClass.{0, 0} NNReal Real (MulZeroClass.toHasZero.{0} NNReal (MulZeroOneClass.toMulZeroClass.{0} NNReal (MonoidWithZero.toMulZeroOneClass.{0} NNReal (Semiring.toMonoidWithZero.{0} NNReal NNReal.semiring)))) (AddZeroClass.toHasZero.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real Real.addCommMonoid))) (MulActionWithZero.toSMulWithZero.{0, 0} NNReal Real (Semiring.toMonoidWithZero.{0} NNReal NNReal.semiring) (AddZeroClass.toHasZero.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real Real.addCommMonoid))) (Module.toMulActionWithZero.{0, 0} NNReal Real NNReal.semiring Real.addCommMonoid (NNReal.module.{0} Real Real.addCommMonoid Real.module))))) _inst_17] (p : Seminorm.{u3, u5} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u5} E₂ _inst_8) (SMulZeroClass.toHasSmul.{u3, u5} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u5} E₂ (AddMonoid.toAddZeroClass.{u5} E₂ (AddCommMonoid.toAddMonoid.{u5} E₂ (AddCommGroup.toAddCommMonoid.{u5} E₂ _inst_8)))) (SMulWithZero.toSmulZeroClass.{u3, u5} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u3} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u3} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u3} 𝕜₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u5} E₂ (AddMonoid.toAddZeroClass.{u5} E₂ (AddCommMonoid.toAddMonoid.{u5} E₂ (AddCommGroup.toAddCommMonoid.{u5} E₂ _inst_8)))) (MulActionWithZero.toSMulWithZero.{u3, u5} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u5} E₂ (AddMonoid.toAddZeroClass.{u5} E₂ (AddCommMonoid.toAddMonoid.{u5} E₂ (AddCommGroup.toAddCommMonoid.{u5} E₂ _inst_8)))) (Module.toMulActionWithZero.{u3, u5} 𝕜₂ E₂ (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u5} E₂ _inst_8) _inst_13))))) (f : LinearMap.{u2, u3, u4, u5} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u4} E _inst_7) (AddCommGroup.toAddCommMonoid.{u5} E₂ _inst_8) _inst_12 _inst_13) (c : R), Eq.{succ u4} (Seminorm.{u2, u4} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u4} E _inst_7) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜 E (AddZeroClass.toHasZero.{u4} E (AddMonoid.toAddZeroClass.{u4} E (AddCommMonoid.toAddMonoid.{u4} E (AddCommGroup.toAddCommMonoid.{u4} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜 E (MulZeroClass.toHasZero.{u2} 𝕜 (MulZeroOneClass.toMulZeroClass.{u2} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u4} E (AddMonoid.toAddZeroClass.{u4} E (AddCommMonoid.toAddMonoid.{u4} E (AddCommGroup.toAddCommMonoid.{u4} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u4} E (AddMonoid.toAddZeroClass.{u4} E (AddCommMonoid.toAddMonoid.{u4} E (AddCommGroup.toAddCommMonoid.{u4} E _inst_7)))) (Module.toMulActionWithZero.{u2, u4} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} E _inst_7) _inst_12))))) (Seminorm.comp.{u2, u3, u4, u5} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 (SMul.smul.{u1, u5} R (Seminorm.{u3, u5} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u5} E₂ _inst_8) (SMulZeroClass.toHasSmul.{u3, u5} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u5} E₂ (AddMonoid.toAddZeroClass.{u5} E₂ (AddCommMonoid.toAddMonoid.{u5} E₂ (AddCommGroup.toAddCommMonoid.{u5} E₂ _inst_8)))) (SMulWithZero.toSmulZeroClass.{u3, u5} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u3} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u3} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u3} 𝕜₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u5} E₂ (AddMonoid.toAddZeroClass.{u5} E₂ (AddCommMonoid.toAddMonoid.{u5} E₂ (AddCommGroup.toAddCommMonoid.{u5} E₂ _inst_8)))) (MulActionWithZero.toSMulWithZero.{u3, u5} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u5} E₂ (AddMonoid.toAddZeroClass.{u5} E₂ (AddCommMonoid.toAddMonoid.{u5} E₂ (AddCommGroup.toAddCommMonoid.{u5} E₂ _inst_8)))) (Module.toMulActionWithZero.{u3, u5} 𝕜₂ E₂ (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u5} E₂ _inst_8) _inst_13))))) (Seminorm.hasSmul.{u1, u3, u5} R 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u5} E₂ _inst_8) (SMulZeroClass.toHasSmul.{u3, u5} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u5} E₂ (AddMonoid.toAddZeroClass.{u5} E₂ (AddCommMonoid.toAddMonoid.{u5} E₂ (AddCommGroup.toAddCommMonoid.{u5} E₂ _inst_8)))) (SMulWithZero.toSmulZeroClass.{u3, u5} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u3} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u3} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u3} 𝕜₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u5} E₂ (AddMonoid.toAddZeroClass.{u5} E₂ (AddCommMonoid.toAddMonoid.{u5} E₂ (AddCommGroup.toAddCommMonoid.{u5} E₂ _inst_8)))) (MulActionWithZero.toSMulWithZero.{u3, u5} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u5} E₂ (AddMonoid.toAddZeroClass.{u5} E₂ (AddCommMonoid.toAddMonoid.{u5} E₂ (AddCommGroup.toAddCommMonoid.{u5} E₂ _inst_8)))) (Module.toMulActionWithZero.{u3, u5} 𝕜₂ E₂ (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u5} E₂ _inst_8) _inst_13)))) _inst_17 _inst_18 _inst_19) c p) f) (SMul.smul.{u1, u4} R (Seminorm.{u2, u4} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u4} E _inst_7) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜 E (AddZeroClass.toHasZero.{u4} E (AddMonoid.toAddZeroClass.{u4} E (AddCommMonoid.toAddMonoid.{u4} E (AddCommGroup.toAddCommMonoid.{u4} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜 E (MulZeroClass.toHasZero.{u2} 𝕜 (MulZeroOneClass.toMulZeroClass.{u2} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u4} E (AddMonoid.toAddZeroClass.{u4} E (AddCommMonoid.toAddMonoid.{u4} E (AddCommGroup.toAddCommMonoid.{u4} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u4} E (AddMonoid.toAddZeroClass.{u4} E (AddCommMonoid.toAddMonoid.{u4} E (AddCommGroup.toAddCommMonoid.{u4} E _inst_7)))) (Module.toMulActionWithZero.{u2, u4} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} E _inst_7) _inst_12))))) (Seminorm.hasSmul.{u1, u2, u4} R 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u4} E _inst_7) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜 E (AddZeroClass.toHasZero.{u4} E (AddMonoid.toAddZeroClass.{u4} E (AddCommMonoid.toAddMonoid.{u4} E (AddCommGroup.toAddCommMonoid.{u4} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜 E (MulZeroClass.toHasZero.{u2} 𝕜 (MulZeroOneClass.toMulZeroClass.{u2} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u4} E (AddMonoid.toAddZeroClass.{u4} E (AddCommMonoid.toAddMonoid.{u4} E (AddCommGroup.toAddCommMonoid.{u4} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u4} E (AddMonoid.toAddZeroClass.{u4} E (AddCommMonoid.toAddMonoid.{u4} E (AddCommGroup.toAddCommMonoid.{u4} E _inst_7)))) (Module.toMulActionWithZero.{u2, u4} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} E _inst_7) _inst_12)))) _inst_17 _inst_18 _inst_19) c (Seminorm.comp.{u2, u3, u4, u5} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 p f))
-but is expected to have type
-  forall {R : Type.{u1}} {𝕜 : Type.{u3}} {𝕜₂ : Type.{u5}} {E : Type.{u2}} {E₂ : Type.{u4}} [_inst_1 : SeminormedRing.{u3} 𝕜] [_inst_2 : SeminormedRing.{u5} 𝕜₂] {σ₁₂ : RingHom.{u3, u5} 𝕜 𝕜₂ (Semiring.toNonAssocSemiring.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (Semiring.toNonAssocSemiring.{u5} 𝕜₂ (Ring.toSemiring.{u5} 𝕜₂ (SeminormedRing.toRing.{u5} 𝕜₂ _inst_2)))} [_inst_4 : RingHomIsometric.{u3, u5} 𝕜 𝕜₂ (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (Ring.toSemiring.{u5} 𝕜₂ (SeminormedRing.toRing.{u5} 𝕜₂ _inst_2)) (SeminormedRing.toNorm.{u3} 𝕜 _inst_1) (SeminormedRing.toNorm.{u5} 𝕜₂ _inst_2) σ₁₂] [_inst_7 : AddCommGroup.{u2} E] [_inst_8 : AddCommGroup.{u4} E₂] [_inst_12 : Module.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)] [_inst_13 : Module.{u5, u4} 𝕜₂ E₂ (Ring.toSemiring.{u5} 𝕜₂ (SeminormedRing.toRing.{u5} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)] [_inst_17 : SMul.{u1, 0} R Real] [_inst_18 : SMul.{u1, 0} R NNReal] [_inst_19 : IsScalarTower.{u1, 0, 0} R NNReal Real _inst_18 Seminorm.smul_nnreal_real _inst_17] (p : Seminorm.{u5, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toSMul.{u5, u4} 𝕜₂ E₂ (NegZeroClass.toZero.{u4} E₂ (SubNegZeroMonoid.toNegZeroClass.{u4} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u4} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u4} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u4} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u5, u4} 𝕜₂ E₂ (MonoidWithZero.toZero.{u5} 𝕜₂ (Semiring.toMonoidWithZero.{u5} 𝕜₂ (Ring.toSemiring.{u5} 𝕜₂ (SeminormedRing.toRing.{u5} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u4} E₂ (SubNegZeroMonoid.toNegZeroClass.{u4} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u4} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u4} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u4} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u5, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u5} 𝕜₂ (Ring.toSemiring.{u5} 𝕜₂ (SeminormedRing.toRing.{u5} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u4} E₂ (SubNegZeroMonoid.toNegZeroClass.{u4} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u4} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u4} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u4} E₂ _inst_8))))) (Module.toMulActionWithZero.{u5, u4} 𝕜₂ E₂ (Ring.toSemiring.{u5} 𝕜₂ (SeminormedRing.toRing.{u5} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))) (f : LinearMap.{u3, u5, u2, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (Ring.toSemiring.{u5} 𝕜₂ (SeminormedRing.toRing.{u5} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_12 _inst_13) (c : R), Eq.{succ u2} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Seminorm.comp.{u3, u5, u2, u4} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 (HSMul.hSMul.{u1, u4, u4} R (Seminorm.{u5, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toSMul.{u5, u4} 𝕜₂ E₂ (NegZeroClass.toZero.{u4} E₂ (SubNegZeroMonoid.toNegZeroClass.{u4} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u4} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u4} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u4} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u5, u4} 𝕜₂ E₂ (MonoidWithZero.toZero.{u5} 𝕜₂ (Semiring.toMonoidWithZero.{u5} 𝕜₂ (Ring.toSemiring.{u5} 𝕜₂ (SeminormedRing.toRing.{u5} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u4} E₂ (SubNegZeroMonoid.toNegZeroClass.{u4} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u4} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u4} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u4} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u5, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u5} 𝕜₂ (Ring.toSemiring.{u5} 𝕜₂ (SeminormedRing.toRing.{u5} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u4} E₂ (SubNegZeroMonoid.toNegZeroClass.{u4} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u4} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u4} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u4} E₂ _inst_8))))) (Module.toMulActionWithZero.{u5, u4} 𝕜₂ E₂ (Ring.toSemiring.{u5} 𝕜₂ (SeminormedRing.toRing.{u5} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))) (Seminorm.{u5, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toSMul.{u5, u4} 𝕜₂ E₂ (NegZeroClass.toZero.{u4} E₂ (SubNegZeroMonoid.toNegZeroClass.{u4} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u4} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u4} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u4} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u5, u4} 𝕜₂ E₂ (MonoidWithZero.toZero.{u5} 𝕜₂ (Semiring.toMonoidWithZero.{u5} 𝕜₂ (Ring.toSemiring.{u5} 𝕜₂ (SeminormedRing.toRing.{u5} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u4} E₂ (SubNegZeroMonoid.toNegZeroClass.{u4} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u4} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u4} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u4} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u5, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u5} 𝕜₂ (Ring.toSemiring.{u5} 𝕜₂ (SeminormedRing.toRing.{u5} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u4} E₂ (SubNegZeroMonoid.toNegZeroClass.{u4} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u4} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u4} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u4} E₂ _inst_8))))) (Module.toMulActionWithZero.{u5, u4} 𝕜₂ E₂ (Ring.toSemiring.{u5} 𝕜₂ (SeminormedRing.toRing.{u5} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))) (instHSMul.{u1, u4} R (Seminorm.{u5, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toSMul.{u5, u4} 𝕜₂ E₂ (NegZeroClass.toZero.{u4} E₂ (SubNegZeroMonoid.toNegZeroClass.{u4} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u4} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u4} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u4} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u5, u4} 𝕜₂ E₂ (MonoidWithZero.toZero.{u5} 𝕜₂ (Semiring.toMonoidWithZero.{u5} 𝕜₂ (Ring.toSemiring.{u5} 𝕜₂ (SeminormedRing.toRing.{u5} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u4} E₂ (SubNegZeroMonoid.toNegZeroClass.{u4} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u4} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u4} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u4} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u5, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u5} 𝕜₂ (Ring.toSemiring.{u5} 𝕜₂ (SeminormedRing.toRing.{u5} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u4} E₂ (SubNegZeroMonoid.toNegZeroClass.{u4} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u4} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u4} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u4} E₂ _inst_8))))) (Module.toMulActionWithZero.{u5, u4} 𝕜₂ E₂ (Ring.toSemiring.{u5} 𝕜₂ (SeminormedRing.toRing.{u5} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))) (Seminorm.instSMul.{u1, u5, u4} R 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toSMul.{u5, u4} 𝕜₂ E₂ (NegZeroClass.toZero.{u4} E₂ (SubNegZeroMonoid.toNegZeroClass.{u4} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u4} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u4} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u4} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u5, u4} 𝕜₂ E₂ (MonoidWithZero.toZero.{u5} 𝕜₂ (Semiring.toMonoidWithZero.{u5} 𝕜₂ (Ring.toSemiring.{u5} 𝕜₂ (SeminormedRing.toRing.{u5} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u4} E₂ (SubNegZeroMonoid.toNegZeroClass.{u4} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u4} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u4} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u4} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u5, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u5} 𝕜₂ (Ring.toSemiring.{u5} 𝕜₂ (SeminormedRing.toRing.{u5} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u4} E₂ (SubNegZeroMonoid.toNegZeroClass.{u4} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u4} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u4} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u4} E₂ _inst_8))))) (Module.toMulActionWithZero.{u5, u4} 𝕜₂ E₂ (Ring.toSemiring.{u5} 𝕜₂ (SeminormedRing.toRing.{u5} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13)))) _inst_17 _inst_18 _inst_19)) c p) f) (HSMul.hSMul.{u1, u2, u2} R (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (instHSMul.{u1, u2} R (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Seminorm.instSMul.{u1, u3, u2} R 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))) _inst_17 _inst_18 _inst_19)) c (Seminorm.comp.{u3, u5, u2, u4} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 p f))
+<too large>
 Case conversion may be inaccurate. Consider using '#align seminorm.smul_comp Seminorm.smul_compₓ'. -/
 theorem smul_comp (p : Seminorm 𝕜₂ E₂) (f : E →ₛₗ[σ₁₂] E₂) (c : R) :
     (c • p).comp f = c • p.comp f :=
@@ -524,20 +497,14 @@ theorem smul_comp (p : Seminorm 𝕜₂ E₂) (f : E →ₛₗ[σ₁₂] E₂) (
 #align seminorm.smul_comp Seminorm.smul_comp
 
 /- warning: seminorm.comp_mono -> Seminorm.comp_mono is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {𝕜₂ : Type.{u2}} {E : Type.{u3}} {E₂ : Type.{u4}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : SeminormedRing.{u2} 𝕜₂] {σ₁₂ : RingHom.{u1, u2} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))} [_inst_4 : RingHomIsometric.{u1, u2} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (SeminormedRing.toHasNorm.{u1} 𝕜 _inst_1) (SeminormedRing.toHasNorm.{u2} 𝕜₂ _inst_2) σ₁₂] [_inst_7 : AddCommGroup.{u3} E] [_inst_8 : AddCommGroup.{u4} E₂] [_inst_12 : Module.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)] [_inst_13 : Module.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)] {p : Seminorm.{u2, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))} {q : Seminorm.{u2, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))} (f : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_12 _inst_13), (LE.le.{u4} (Seminorm.{u2, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))) (Preorder.toHasLe.{u4} (Seminorm.{u2, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))) (PartialOrder.toPreorder.{u4} (Seminorm.{u2, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))) (Seminorm.partialOrder.{u2, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))))) p q) -> (LE.le.{u3} (Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))) (Preorder.toHasLe.{u3} (Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))) (PartialOrder.toPreorder.{u3} (Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))) (Seminorm.partialOrder.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))))) (Seminorm.comp.{u1, u2, u3, u4} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 p f) (Seminorm.comp.{u1, u2, u3, u4} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 q f))
-but is expected to have type
-  forall {𝕜 : Type.{u2}} {𝕜₂ : Type.{u4}} {E : Type.{u1}} {E₂ : Type.{u3}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_2 : SeminormedRing.{u4} 𝕜₂] {σ₁₂ : RingHom.{u2, u4} 𝕜 𝕜₂ (Semiring.toNonAssocSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (Semiring.toNonAssocSemiring.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))} [_inst_4 : RingHomIsometric.{u2, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (SeminormedRing.toNorm.{u2} 𝕜 _inst_1) (SeminormedRing.toNorm.{u4} 𝕜₂ _inst_2) σ₁₂] [_inst_7 : AddCommGroup.{u1} E] [_inst_8 : AddCommGroup.{u3} E₂] [_inst_12 : Module.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7)] [_inst_13 : Module.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8)] {p : Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))} {q : Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))} (f : LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_12 _inst_13), (LE.le.{u3} (Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) (Preorder.toLE.{u3} (Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) (PartialOrder.toPreorder.{u3} (Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) (Seminorm.instPartialOrder.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))))) p q) -> (LE.le.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (Preorder.toLE.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (PartialOrder.toPreorder.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (Seminorm.instPartialOrder.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))))) (Seminorm.comp.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 p f) (Seminorm.comp.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 q f))
+<too large>
 Case conversion may be inaccurate. Consider using '#align seminorm.comp_mono Seminorm.comp_monoₓ'. -/
 theorem comp_mono {p q : Seminorm 𝕜₂ E₂} (f : E →ₛₗ[σ₁₂] E₂) (hp : p ≤ q) : p.comp f ≤ q.comp f :=
   fun _ => hp _
 #align seminorm.comp_mono Seminorm.comp_mono
 
 /- warning: seminorm.pullback -> Seminorm.pullback is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {𝕜₂ : Type.{u2}} {E : Type.{u3}} {E₂ : Type.{u4}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : SeminormedRing.{u2} 𝕜₂] {σ₁₂ : RingHom.{u1, u2} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))} [_inst_4 : RingHomIsometric.{u1, u2} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (SeminormedRing.toHasNorm.{u1} 𝕜 _inst_1) (SeminormedRing.toHasNorm.{u2} 𝕜₂ _inst_2) σ₁₂] [_inst_7 : AddCommGroup.{u3} E] [_inst_8 : AddCommGroup.{u4} E₂] [_inst_12 : Module.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)] [_inst_13 : Module.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)], (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_12 _inst_13) -> (AddMonoidHom.{u4, u3} (Seminorm.{u2, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))) (Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))) (AddMonoid.toAddZeroClass.{u4} (Seminorm.{u2, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))) (Seminorm.addMonoid.{u2, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13)))))) (AddMonoid.toAddZeroClass.{u3} (Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))) (Seminorm.addMonoid.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12)))))))
-but is expected to have type
-  forall {𝕜 : Type.{u1}} {𝕜₂ : Type.{u2}} {E : Type.{u3}} {E₂ : Type.{u4}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : SeminormedRing.{u2} 𝕜₂] {σ₁₂ : RingHom.{u1, u2} 𝕜 𝕜₂ (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (Semiring.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))} [_inst_4 : RingHomIsometric.{u1, u2} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (SeminormedRing.toNorm.{u1} 𝕜 _inst_1) (SeminormedRing.toNorm.{u2} 𝕜₂ _inst_2) σ₁₂] [_inst_7 : AddCommGroup.{u3} E] [_inst_8 : AddCommGroup.{u4} E₂] [_inst_12 : Module.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)] [_inst_13 : Module.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)], (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_12 _inst_13) -> (AddMonoidHom.{u4, u3} (Seminorm.{u2, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toSMul.{u2, u4} 𝕜₂ E₂ (NegZeroClass.toZero.{u4} E₂ (SubNegZeroMonoid.toNegZeroClass.{u4} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u4} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u4} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u4} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u2, u4} 𝕜₂ E₂ (MonoidWithZero.toZero.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u4} E₂ (SubNegZeroMonoid.toNegZeroClass.{u4} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u4} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u4} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u4} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u4} E₂ (SubNegZeroMonoid.toNegZeroClass.{u4} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u4} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u4} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u4} E₂ _inst_8))))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))) (Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toSMul.{u1, u3} 𝕜 E (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u3} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_7))))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))) (AddMonoid.toAddZeroClass.{u4} (Seminorm.{u2, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toSMul.{u2, u4} 𝕜₂ E₂ (NegZeroClass.toZero.{u4} E₂ (SubNegZeroMonoid.toNegZeroClass.{u4} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u4} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u4} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u4} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u2, u4} 𝕜₂ E₂ (MonoidWithZero.toZero.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u4} E₂ (SubNegZeroMonoid.toNegZeroClass.{u4} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u4} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u4} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u4} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u4} E₂ (SubNegZeroMonoid.toNegZeroClass.{u4} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u4} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u4} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u4} E₂ _inst_8))))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))) (Seminorm.instAddMonoid.{u2, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toSMul.{u2, u4} 𝕜₂ E₂ (NegZeroClass.toZero.{u4} E₂ (SubNegZeroMonoid.toNegZeroClass.{u4} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u4} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u4} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u4} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u2, u4} 𝕜₂ E₂ (MonoidWithZero.toZero.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u4} E₂ (SubNegZeroMonoid.toNegZeroClass.{u4} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u4} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u4} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u4} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u4} E₂ (SubNegZeroMonoid.toNegZeroClass.{u4} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u4} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u4} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u4} E₂ _inst_8))))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13)))))) (AddMonoid.toAddZeroClass.{u3} (Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toSMul.{u1, u3} 𝕜 E (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u3} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 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(Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12)))))))
+<too large>
 Case conversion may be inaccurate. Consider using '#align seminorm.pullback Seminorm.pullbackₓ'. -/
 /-- The composition as an `add_monoid_hom`. -/
 @[simps]
@@ -549,10 +516,7 @@ instance : OrderBot (Seminorm 𝕜 E) :=
   ⟨0, map_nonneg⟩
 
 /- warning: seminorm.coe_bot -> Seminorm.coe_bot is a dubious translation:
-lean 3 declaration is
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-but is expected to have type
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(SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_7))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_7) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))) (Seminorm.instSeminormClass.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))))))) (Bot.bot.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (OrderBot.toBot.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Preorder.toLE.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (PartialOrder.toPreorder.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Seminorm.instPartialOrder.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))))) (Seminorm.instOrderBot.{u1, u2} 𝕜 E _inst_1 _inst_7 _inst_12)))) (OfNat.ofNat.{u2} (forall (ᾰ : E), (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) ᾰ) 0 (Zero.toOfNat0.{u2} (forall (a : E), (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) a) (Pi.instZero.{u2, 0} E (fun (a : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) a) (fun (i : E) => Real.instZeroReal))))
+<too large>
 Case conversion may be inaccurate. Consider using '#align seminorm.coe_bot Seminorm.coe_botₓ'. -/
 @[simp]
 theorem coe_bot : ⇑(⊥ : Seminorm 𝕜 E) = 0 :=
@@ -560,20 +524,14 @@ theorem coe_bot : ⇑(⊥ : Seminorm 𝕜 E) = 0 :=
 #align seminorm.coe_bot Seminorm.coe_bot
 
 /- warning: seminorm.bot_eq_zero -> Seminorm.bot_eq_zero is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_7 : AddCommGroup.{u2} E] [_inst_12 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)], Eq.{succ u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Bot.bot.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (OrderBot.toHasBot.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 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(AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Seminorm.partialOrder.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) 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(Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) 0 (OfNat.mk.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) 0 (Zero.zero.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Seminorm.hasZero.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) 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-but is expected to have type
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_7 : AddCommGroup.{u2} E] [_inst_12 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)], Eq.{succ u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) 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(Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (OrderBot.toBot.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Preorder.toLE.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (PartialOrder.toPreorder.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Seminorm.instPartialOrder.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))))) (Seminorm.instOrderBot.{u1, u2} 𝕜 E _inst_1 _inst_7 _inst_12))) (OfNat.ofNat.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) 0 (Zero.toOfNat0.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Seminorm.instZero.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))))))
+<too large>
 Case conversion may be inaccurate. Consider using '#align seminorm.bot_eq_zero Seminorm.bot_eq_zeroₓ'. -/
 theorem bot_eq_zero : (⊥ : Seminorm 𝕜 E) = 0 :=
   rfl
 #align seminorm.bot_eq_zero Seminorm.bot_eq_zero
 
 /- warning: seminorm.smul_le_smul -> Seminorm.smul_le_smul is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_7 : AddCommGroup.{u2} E] [_inst_12 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)] {p : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))} {q : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))} {a : NNReal} {b : NNReal}, (LE.le.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Preorder.toHasLe.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (PartialOrder.toPreorder.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Seminorm.partialOrder.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))))) p q) -> (LE.le.{0} NNReal (Preorder.toHasLe.{0} NNReal (PartialOrder.toPreorder.{0} NNReal (OrderedCancelAddCommMonoid.toPartialOrder.{0} NNReal (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} NNReal NNReal.strictOrderedSemiring)))) a b) -> (LE.le.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Preorder.toHasLe.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (PartialOrder.toPreorder.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Seminorm.partialOrder.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))))) (SMul.smul.{0, u2} NNReal (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Seminorm.hasSmul.{0, u1, u2} NNReal 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))) (MulAction.toHasSmul.{0, 0} NNReal Real (MonoidWithZero.toMonoid.{0} NNReal (Semiring.toMonoidWithZero.{0} NNReal NNReal.semiring)) (NNReal.mulAction.{0} Real (Monoid.toMulAction.{0} Real Real.monoid))) (Mul.toSMul.{0} NNReal (MulOneClass.toHasMul.{0} NNReal (Monoid.toMulOneClass.{0} NNReal (MonoidWithZero.toMonoid.{0} NNReal (Semiring.toMonoidWithZero.{0} NNReal NNReal.semiring))))) (IsScalarTower.left.{0, 0} NNReal Real (MonoidWithZero.toMonoid.{0} NNReal (Semiring.toMonoidWithZero.{0} NNReal NNReal.semiring)) (NNReal.mulAction.{0} Real (Monoid.toMulAction.{0} Real Real.monoid)))) a p) (SMul.smul.{0, u2} NNReal (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Seminorm.hasSmul.{0, u1, u2} NNReal 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))) (MulAction.toHasSmul.{0, 0} NNReal Real (MonoidWithZero.toMonoid.{0} NNReal (Semiring.toMonoidWithZero.{0} NNReal NNReal.semiring)) (NNReal.mulAction.{0} Real (Monoid.toMulAction.{0} Real Real.monoid))) (Mul.toSMul.{0} NNReal (MulOneClass.toHasMul.{0} NNReal (Monoid.toMulOneClass.{0} NNReal (MonoidWithZero.toMonoid.{0} NNReal (Semiring.toMonoidWithZero.{0} NNReal NNReal.semiring))))) (IsScalarTower.left.{0, 0} NNReal Real (MonoidWithZero.toMonoid.{0} NNReal (Semiring.toMonoidWithZero.{0} NNReal NNReal.semiring)) (NNReal.mulAction.{0} Real (Monoid.toMulAction.{0} Real Real.monoid)))) b q))
-but is expected to have type
-  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_7 : AddCommGroup.{u1} E] [_inst_12 : Module.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7)] {p : Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))} {q : Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))} {a : NNReal} {b : NNReal}, (LE.le.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (Preorder.toLE.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (PartialOrder.toPreorder.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (Seminorm.instPartialOrder.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))))) p q) -> (LE.le.{0} NNReal (Preorder.toLE.{0} NNReal (PartialOrder.toPreorder.{0} NNReal (StrictOrderedSemiring.toPartialOrder.{0} NNReal instNNRealStrictOrderedSemiring))) a b) -> (LE.le.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (Preorder.toLE.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (PartialOrder.toPreorder.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (Seminorm.instPartialOrder.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))))) (HSMul.hSMul.{0, u1, u1} NNReal (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (instHSMul.{0, u1} NNReal (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (Seminorm.instSMul.{0, u2, u1} NNReal 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12)))) Seminorm.smul_nnreal_real (Algebra.toSMul.{0, 0} NNReal NNReal instNNRealCommSemiring instNNRealSemiring (Algebra.id.{0} NNReal instNNRealCommSemiring)) (IsScalarTower.left.{0, 0} NNReal Real (MonoidWithZero.toMonoid.{0} NNReal (Semiring.toMonoidWithZero.{0} NNReal instNNRealSemiring)) (NNReal.instMulActionNNRealToMonoidToMonoidWithZeroInstNNRealSemiring.{0} Real (MulActionWithZero.toMulAction.{0, 0} Real Real Real.instMonoidWithZeroReal Real.instZeroReal (MonoidWithZero.toMulActionWithZero.{0} Real Real.instMonoidWithZeroReal)))))) a p) (HSMul.hSMul.{0, u1, u1} NNReal (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (instHSMul.{0, u1} NNReal (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (Seminorm.instSMul.{0, u2, u1} NNReal 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12)))) Seminorm.smul_nnreal_real (Algebra.toSMul.{0, 0} NNReal NNReal instNNRealCommSemiring instNNRealSemiring (Algebra.id.{0} NNReal instNNRealCommSemiring)) (IsScalarTower.left.{0, 0} NNReal Real (MonoidWithZero.toMonoid.{0} NNReal (Semiring.toMonoidWithZero.{0} NNReal instNNRealSemiring)) (NNReal.instMulActionNNRealToMonoidToMonoidWithZeroInstNNRealSemiring.{0} Real (MulActionWithZero.toMulAction.{0, 0} Real Real Real.instMonoidWithZeroReal Real.instZeroReal (MonoidWithZero.toMulActionWithZero.{0} Real Real.instMonoidWithZeroReal)))))) b q))
+<too large>
 Case conversion may be inaccurate. Consider using '#align seminorm.smul_le_smul Seminorm.smul_le_smulₓ'. -/
 theorem smul_le_smul {p q : Seminorm 𝕜 E} {a b : ℝ≥0} (hpq : p ≤ q) (hab : a ≤ b) : a • p ≤ b • q :=
   by
@@ -584,10 +542,7 @@ theorem smul_le_smul {p q : Seminorm 𝕜 E} {a b : ℝ≥0} (hpq : p ≤ q) (ha
 #align seminorm.smul_le_smul Seminorm.smul_le_smul
 
 /- warning: seminorm.finset_sup_apply -> Seminorm.finset_sup_apply is a dubious translation:
-lean 3 declaration is
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(Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))))) (s : Finset.{u3} ι) (x : E), Eq.{1} Real (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (fun (_x : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 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(AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Finset.sup.{u2, u3} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E 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(AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) ι (Seminorm.semilatticeSup.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Seminorm.orderBot.{u1, u2} 𝕜 E _inst_1 _inst_7 _inst_12) s p) x) ((fun (a : Type) (b : Type) [self : HasLiftT.{1, 1} a b] => self.0) NNReal Real (HasLiftT.mk.{1, 1} NNReal Real (CoeTCₓ.coe.{1, 1} NNReal Real (coeBase.{1, 1} NNReal Real NNReal.Real.hasCoe))) (Finset.sup.{0, u3} NNReal ι NNReal.semilatticeSup NNReal.orderBot s (fun (i : ι) => Subtype.mk.{1} Real (fun (r : Real) => LE.le.{0} Real Real.hasLe (OfNat.ofNat.{0} Real 0 (OfNat.mk.{0} Real 0 (Zero.zero.{0} Real Real.hasZero))) r) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) 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(AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (p i) x) (NonnegHomClass.map_nonneg.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 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(AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_7) (LinearOrderedSemiring.toLinearOrderedAddCommMonoid.{0} Real Real.linearOrderedSemiring) (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))) (Seminorm.instSeminormClass.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))))) (p i) x))))
-but is expected to have type
-  forall {𝕜 : Type.{u3}} {E : Type.{u2}} {ι : Type.{u1}} [_inst_1 : SeminormedRing.{u3} 𝕜] [_inst_7 : AddCommGroup.{u2} E] [_inst_12 : Module.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)] (p : ι -> (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))))) (s : Finset.{u1} ι) (x : E), Eq.{1} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) x) (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => 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(SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_7))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_7) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u3, u2} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) 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𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))) (Seminorm.instSeminormClass.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E 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(SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))))))) (Finset.sup.{u2, u1} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) ι (Seminorm.instSemilatticeSup.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Seminorm.instOrderBot.{u3, u2} 𝕜 E _inst_1 _inst_7 _inst_12) s p) x) (NNReal.toReal (Finset.sup.{0, u1} NNReal ι instNNRealSemilatticeSup NNReal.instOrderBotNNRealToLEToPreorderToPartialOrderInstNNRealStrictOrderedSemiring s (fun (i : ι) => Subtype.mk.{1} Real (fun (r : Real) => LE.le.{0} Real Real.instLEReal (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) r) (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_7))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_7) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u3, u2} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))) (Seminorm.instSeminormClass.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))))))) (p i) x) (NonnegHomClass.map_nonneg.{u2, u2, 0} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) E Real (AddMonoid.toZero.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (LinearOrderedAddCommMonoid.toAddCommMonoid.{0} Real (LinearOrderedSemiring.toLinearOrderedAddCommMonoid.{0} Real Real.instLinearOrderedSemiringReal)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real (LinearOrderedAddCommMonoid.toOrderedAddCommMonoid.{0} Real (LinearOrderedSemiring.toLinearOrderedAddCommMonoid.{0} Real Real.instLinearOrderedSemiringReal))))) (AddGroupSeminormClass.toNonnegHomClass.{u2, u2, 0} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_7) (LinearOrderedSemiring.toLinearOrderedAddCommMonoid.{0} Real Real.instLinearOrderedSemiringReal) (SeminormClass.toAddGroupSeminormClass.{u2, u3, u2} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))) (Seminorm.instSeminormClass.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))))) (p i) x))))
+<too large>
 Case conversion may be inaccurate. Consider using '#align seminorm.finset_sup_apply Seminorm.finset_sup_applyₓ'. -/
 theorem finset_sup_apply (p : ι → Seminorm 𝕜 E) (s : Finset ι) (x : E) :
     s.sup p x = ↑(s.sup fun i => ⟨p i x, map_nonneg (p i) x⟩ : ℝ≥0) :=
@@ -602,10 +557,7 @@ theorem finset_sup_apply (p : ι → Seminorm 𝕜 E) (s : Finset ι) (x : E) :
 #align seminorm.finset_sup_apply Seminorm.finset_sup_apply
 
 /- warning: seminorm.finset_sup_le_sum -> Seminorm.finset_sup_le_sum is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} {ι : Type.{u3}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_7 : AddCommGroup.{u2} E] [_inst_12 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)] (p : ι -> (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))))) (s : Finset.{u3} ι), LE.le.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Preorder.toHasLe.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (PartialOrder.toPreorder.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Seminorm.partialOrder.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))))) (Finset.sup.{u2, u3} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) ι (Seminorm.semilatticeSup.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Seminorm.orderBot.{u1, u2} 𝕜 E _inst_1 _inst_7 _inst_12) s p) (Finset.sum.{u2, u3} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) ι (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Seminorm.orderedCancelAddCommMonoid.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))))) s (fun (i : ι) => p i))
-but is expected to have type
-  forall {𝕜 : Type.{u3}} {E : Type.{u2}} {ι : Type.{u1}} [_inst_1 : SeminormedRing.{u3} 𝕜] [_inst_7 : AddCommGroup.{u2} E] [_inst_12 : Module.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)] (p : ι -> (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))))) (s : Finset.{u1} ι), LE.le.{u2} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Preorder.toLE.{u2} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (PartialOrder.toPreorder.{u2} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Seminorm.instPartialOrder.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))))) (Finset.sup.{u2, u1} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) ι (Seminorm.instSemilatticeSup.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Seminorm.instOrderBot.{u3, u2} 𝕜 E _inst_1 _inst_7 _inst_12) s p) (Finset.sum.{u2, u1} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) ι (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Seminorm.instOrderedCancelAddCommMonoid.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))))) s (fun (i : ι) => p i))
+<too large>
 Case conversion may be inaccurate. Consider using '#align seminorm.finset_sup_le_sum Seminorm.finset_sup_le_sumₓ'. -/
 theorem finset_sup_le_sum (p : ι → Seminorm 𝕜 E) (s : Finset ι) : s.sup p ≤ ∑ i in s, p i := by
   classical
@@ -616,10 +568,7 @@ theorem finset_sup_le_sum (p : ι → Seminorm 𝕜 E) (s : Finset ι) : s.sup p
 #align seminorm.finset_sup_le_sum Seminorm.finset_sup_le_sum
 
 /- warning: seminorm.finset_sup_apply_le -> Seminorm.finset_sup_apply_le is a dubious translation:
-lean 3 declaration is
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_inst_12) s p) x) a)
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(SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_7))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_7) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u3, u2} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))) (Seminorm.instSeminormClass.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))))))) (p i) x) a)) -> (LE.le.{0} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) x) Real.instLEReal (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_7))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_7) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u3, u2} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))) (Seminorm.instSeminormClass.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))))))) (Finset.sup.{u2, u1} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) ι (Seminorm.instSemilatticeSup.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Seminorm.instOrderBot.{u3, u2} 𝕜 E _inst_1 _inst_7 _inst_12) s p) x) a)
+<too large>
 Case conversion may be inaccurate. Consider using '#align seminorm.finset_sup_apply_le Seminorm.finset_sup_apply_leₓ'. -/
 theorem finset_sup_apply_le {p : ι → Seminorm 𝕜 E} {s : Finset ι} {x : E} {a : ℝ} (ha : 0 ≤ a)
     (h : ∀ i, i ∈ s → p i x ≤ a) : s.sup p x ≤ a :=
@@ -630,10 +579,7 @@ theorem finset_sup_apply_le {p : ι → Seminorm 𝕜 E} {s : Finset ι} {x : E}
 #align seminorm.finset_sup_apply_le Seminorm.finset_sup_apply_le
 
 /- warning: seminorm.finset_sup_apply_lt -> Seminorm.finset_sup_apply_lt is a dubious translation:
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-  forall {𝕜 : Type.{u3}} {E : Type.{u2}} {ι : Type.{u1}} [_inst_1 : SeminormedRing.{u3} 𝕜] [_inst_7 : AddCommGroup.{u2} E] [_inst_12 : Module.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)] {p : ι -> (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))))} {s : Finset.{u1} ι} {x : E} {a : Real}, (LT.lt.{0} Real Real.instLTReal (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) a) -> (forall (i : ι), (Membership.mem.{u1, u1} ι (Finset.{u1} ι) (Finset.instMembershipFinset.{u1} ι) i s) -> (LT.lt.{0} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) x) Real.instLTReal (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_7))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_7) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u3, u2} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))) (Seminorm.instSeminormClass.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))))))) (p i) x) a)) -> (LT.lt.{0} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) x) Real.instLTReal (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_7))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_7) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u3, u2} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))) (Seminorm.instSeminormClass.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))))))) (Finset.sup.{u2, u1} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) ι (Seminorm.instSemilatticeSup.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Seminorm.instOrderBot.{u3, u2} 𝕜 E _inst_1 _inst_7 _inst_12) s p) x) a)
+<too large>
 Case conversion may be inaccurate. Consider using '#align seminorm.finset_sup_apply_lt Seminorm.finset_sup_apply_ltₓ'. -/
 theorem finset_sup_apply_lt {p : ι → Seminorm 𝕜 E} {s : Finset ι} {x : E} {a : ℝ} (ha : 0 < a)
     (h : ∀ i, i ∈ s → p i x < a) : s.sup p x < a :=
@@ -645,10 +591,7 @@ theorem finset_sup_apply_lt {p : ι → Seminorm 𝕜 E} {s : Finset ι} {x : E}
 #align seminorm.finset_sup_apply_lt Seminorm.finset_sup_apply_lt
 
 /- warning: seminorm.norm_sub_map_le_sub -> Seminorm.norm_sub_map_le_sub is a dubious translation:
-lean 3 declaration is
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(SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12)))) (Seminorm.instSeminormClass.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12)))))))) p x) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_7))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) E Real (AddCommGroup.toAddGroup.{u1} E _inst_7) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12)))) (Seminorm.instSeminormClass.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12)))))))) p y))) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_7))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) E Real (AddCommGroup.toAddGroup.{u1} E _inst_7) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12)))) (Seminorm.instSeminormClass.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12)))))))) p (HSub.hSub.{u1, u1, u1} E E E (instHSub.{u1} E (SubNegMonoid.toSub.{u1} E (AddGroup.toSubNegMonoid.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_7)))) x y))
+<too large>
 Case conversion may be inaccurate. Consider using '#align seminorm.norm_sub_map_le_sub Seminorm.norm_sub_map_le_subₓ'. -/
 theorem norm_sub_map_le_sub (p : Seminorm 𝕜 E) (x y : E) : ‖p x - p y‖ ≤ p (x - y) :=
   abs_sub_map_le_sub p x y
@@ -667,10 +610,7 @@ variable {σ₁₂ : 𝕜 →+* 𝕜₂} [RingHomIsometric σ₁₂]
 variable [AddCommGroup E] [AddCommGroup E₂] [Module 𝕜 E] [Module 𝕜₂ E₂]
 
 /- warning: seminorm.comp_smul -> Seminorm.comp_smul is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {𝕜₂ : Type.{u2}} {E : Type.{u3}} {E₂ : Type.{u4}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : SeminormedCommRing.{u2} 𝕜₂] {σ₁₂ : RingHom.{u1, u2} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))))} [_inst_3 : RingHomIsometric.{u1, u2} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))) (SeminormedRing.toHasNorm.{u1} 𝕜 _inst_1) (SeminormedRing.toHasNorm.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2)) σ₁₂] [_inst_4 : AddCommGroup.{u3} E] [_inst_5 : AddCommGroup.{u4} E₂] [_inst_6 : Module.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)] [_inst_7 : Module.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)] (p : Seminorm.{u2, u4} 𝕜₂ E₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2) (AddCommGroup.toAddGroup.{u4} E₂ _inst_5) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2)))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_7))))) (f : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_4) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_6 _inst_7) (c : 𝕜₂), Eq.{succ u3} (Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_4) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_4) _inst_6))))) (Seminorm.comp.{u1, u2, u3, u4} 𝕜 𝕜₂ E E₂ _inst_1 (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2) σ₁₂ _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 p (SMul.smul.{u2, max u3 u4} 𝕜₂ (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_4) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_6 _inst_7) (LinearMap.hasSmul.{u1, u2, u2, u3, u4} 𝕜 𝕜₂ 𝕜₂ E E₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_4) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_6 _inst_7 σ₁₂ (Ring.toMonoid.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))) (Module.toDistribMulAction.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_7) (smulCommClass_self.{u2, u4} 𝕜₂ E₂ (CommRing.toCommMonoid.{u2} 𝕜₂ (SeminormedCommRing.toCommRing.{u2} 𝕜₂ _inst_2)) (MulActionWithZero.toMulAction.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2)))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_7)))) c f)) (SMul.smul.{0, u3} NNReal (Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_4) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 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(NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜₂ (SeminormedRing.toNonUnitalSeminormedRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))))) c) (Seminorm.comp.{u1, u2, u3, u4} 𝕜 𝕜₂ E E₂ _inst_1 (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2) σ₁₂ _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 p f))
-but is expected to have type
-  forall {𝕜 : Type.{u2}} {𝕜₂ : Type.{u4}} {E : Type.{u1}} {E₂ : Type.{u3}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_2 : SeminormedCommRing.{u4} 𝕜₂] {σ₁₂ : RingHom.{u2, u4} 𝕜 𝕜₂ (Semiring.toNonAssocSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (Semiring.toNonAssocSemiring.{u4} 𝕜₂ (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))))} [_inst_3 : RingHomIsometric.{u2, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))) (SeminormedRing.toNorm.{u2} 𝕜 _inst_1) (SeminormedRing.toNorm.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2)) σ₁₂] [_inst_4 : AddCommGroup.{u1} E] [_inst_5 : AddCommGroup.{u3} E₂] [_inst_6 : Module.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4)] [_inst_7 : Module.{u4, u3} 𝕜₂ E₂ (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5)] (p : Seminorm.{u4, u3} 𝕜₂ E₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2) (AddCommGroup.toAddGroup.{u3} E₂ _inst_5) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (CommMonoidWithZero.toZero.{u4} 𝕜₂ (CommSemiring.toCommMonoidWithZero.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_7))))) (f : LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_6 _inst_7) (c : 𝕜₂), Eq.{succ u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_4) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) _inst_6))))) (Seminorm.comp.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ _inst_1 (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2) σ₁₂ _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 p (HSMul.hSMul.{u4, max u1 u3, max u1 u3} 𝕜₂ (LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_6 _inst_7) (LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_6 _inst_7) (instHSMul.{u4, max u1 u3} 𝕜₂ (LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_6 _inst_7) (LinearMap.instSMulLinearMap.{u2, u4, u4, u1, u3} 𝕜 𝕜₂ 𝕜₂ E E₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_6 _inst_7 σ₁₂ (MonoidWithZero.toMonoid.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))))) (Module.toDistribMulAction.{u4, u3} 𝕜₂ E₂ (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_7) (smulCommClass_self.{u4, u3} 𝕜₂ E₂ (CommRing.toCommMonoid.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2)) (MulActionWithZero.toMulAction.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_7))))) c f)) (HSMul.hSMul.{0, u1, u1} NNReal (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_4) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) _inst_6))))) (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_4) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) _inst_6))))) (instHSMul.{0, u1} NNReal (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_4) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) _inst_6))))) (Seminorm.instSMul.{0, u2, u1} NNReal 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_4) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) _inst_6)))) Seminorm.smul_nnreal_real (Algebra.toSMul.{0, 0} NNReal NNReal instNNRealCommSemiring instNNRealSemiring (Algebra.id.{0} NNReal instNNRealCommSemiring)) (IsScalarTower.left.{0, 0} NNReal Real (MonoidWithZero.toMonoid.{0} NNReal (Semiring.toMonoidWithZero.{0} NNReal instNNRealSemiring)) (NNReal.instMulActionNNRealToMonoidToMonoidWithZeroInstNNRealSemiring.{0} Real (MulActionWithZero.toMulAction.{0, 0} Real Real Real.instMonoidWithZeroReal Real.instZeroReal (MonoidWithZero.toMulActionWithZero.{0} Real Real.instMonoidWithZeroReal)))))) (NNNorm.nnnorm.{u4} 𝕜₂ (SeminormedAddGroup.toNNNorm.{u4} 𝕜₂ (SeminormedAddCommGroup.toSeminormedAddGroup.{u4} 𝕜₂ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u4} 𝕜₂ (SeminormedRing.toNonUnitalSeminormedRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2))))) c) (Seminorm.comp.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ _inst_1 (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2) σ₁₂ _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 p f))
+<too large>
 Case conversion may be inaccurate. Consider using '#align seminorm.comp_smul Seminorm.comp_smulₓ'. -/
 theorem comp_smul (p : Seminorm 𝕜₂ E₂) (f : E →ₛₗ[σ₁₂] E₂) (c : 𝕜₂) :
     p.comp (c • f) = ‖c‖₊ • p.comp f :=
@@ -680,10 +620,7 @@ theorem comp_smul (p : Seminorm 𝕜₂ E₂) (f : E →ₛₗ[σ₁₂] E₂) (
 #align seminorm.comp_smul Seminorm.comp_smul
 
 /- warning: seminorm.comp_smul_apply -> Seminorm.comp_smul_apply is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {𝕜₂ : Type.{u2}} {E : Type.{u3}} {E₂ : Type.{u4}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : SeminormedCommRing.{u2} 𝕜₂] {σ₁₂ : RingHom.{u1, u2} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))))} [_inst_3 : RingHomIsometric.{u1, u2} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))) (SeminormedRing.toHasNorm.{u1} 𝕜 _inst_1) (SeminormedRing.toHasNorm.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2)) σ₁₂] [_inst_4 : AddCommGroup.{u3} E] [_inst_5 : AddCommGroup.{u4} E₂] [_inst_6 : Module.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)] [_inst_7 : Module.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)] (p : Seminorm.{u2, u4} 𝕜₂ E₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2) (AddCommGroup.toAddGroup.{u4} E₂ _inst_5) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2)))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_7))))) (f : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_4) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_6 _inst_7) (c : 𝕜₂) (x : E), Eq.{1} Real (coeFn.{succ u3, succ u3} (Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_4) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_4) _inst_6))))) (fun (_x : Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_4) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_4) _inst_6))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_4) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_4) _inst_6))))) (Seminorm.comp.{u1, u2, u3, u4} 𝕜 𝕜₂ E E₂ _inst_1 (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2) σ₁₂ _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 p (SMul.smul.{u2, max u3 u4} 𝕜₂ (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_4) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_6 _inst_7) (LinearMap.hasSmul.{u1, u2, u2, u3, u4} 𝕜 𝕜₂ 𝕜₂ E E₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_4) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_6 _inst_7 σ₁₂ (Ring.toMonoid.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))) (Module.toDistribMulAction.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_7) (smulCommClass_self.{u2, u4} 𝕜₂ E₂ (CommRing.toCommMonoid.{u2} 𝕜₂ (SeminormedCommRing.toCommRing.{u2} 𝕜₂ _inst_2)) (MulActionWithZero.toMulAction.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2)))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_7)))) c f)) x) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) (Norm.norm.{u2} 𝕜₂ (SeminormedRing.toHasNorm.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2)) c) (coeFn.{succ u4, succ u4} (Seminorm.{u2, u4} 𝕜₂ E₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2) (AddCommGroup.toAddGroup.{u4} E₂ _inst_5) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2)))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_7))))) (fun (_x : Seminorm.{u2, u4} 𝕜₂ E₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2) (AddCommGroup.toAddGroup.{u4} E₂ _inst_5) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2)))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_7))))) => E₂ -> Real) (Seminorm.hasCoeToFun.{u2, u4} 𝕜₂ E₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2) (AddCommGroup.toAddGroup.{u4} E₂ _inst_5) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2)))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_7))))) p (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_4) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_6 _inst_7) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_4) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_6 _inst_7) => E -> E₂) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜 𝕜₂ E E₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_4) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_6 _inst_7 σ₁₂) f x)))
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-  forall {𝕜 : Type.{u2}} {𝕜₂ : Type.{u4}} {E : Type.{u1}} {E₂ : Type.{u3}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_2 : SeminormedCommRing.{u4} 𝕜₂] {σ₁₂ : RingHom.{u2, u4} 𝕜 𝕜₂ (Semiring.toNonAssocSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (Semiring.toNonAssocSemiring.{u4} 𝕜₂ (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))))} [_inst_3 : RingHomIsometric.{u2, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))) (SeminormedRing.toNorm.{u2} 𝕜 _inst_1) (SeminormedRing.toNorm.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2)) σ₁₂] [_inst_4 : AddCommGroup.{u1} E] [_inst_5 : AddCommGroup.{u3} E₂] [_inst_6 : Module.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4)] [_inst_7 : Module.{u4, u3} 𝕜₂ E₂ (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5)] (p : Seminorm.{u4, u3} 𝕜₂ E₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2) (AddCommGroup.toAddGroup.{u3} E₂ _inst_5) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (CommMonoidWithZero.toZero.{u4} 𝕜₂ (CommSemiring.toCommMonoidWithZero.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_7))))) (f : LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_6 _inst_7) (c : 𝕜₂) (x : E), Eq.{1} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) x) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_4) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 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(Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) _inst_6))))) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_4))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_4) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) _inst_6))))) E Real (AddCommGroup.toAddGroup.{u1} E _inst_4) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_4) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E 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(SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) _inst_6))))) 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_4) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) _inst_6)))) (Seminorm.instSeminormClass.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_4) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E 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(CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_6 _inst_7 σ₁₂ (MonoidWithZero.toMonoid.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))))) (Module.toDistribMulAction.{u4, u3} 𝕜₂ E₂ (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_7) (smulCommClass_self.{u4, u3} 𝕜₂ E₂ (CommRing.toCommMonoid.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2)) (MulActionWithZero.toMulAction.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_7))))) c f)) x) (HMul.hMul.{0, 0, 0} Real ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E₂) => Real) (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_6 _inst_7) E (fun (a : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : E) => E₂) a) 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Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u3, u3, 0} (Seminorm.{u4, u3} 𝕜₂ E₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2) (AddCommGroup.toAddGroup.{u3} E₂ _inst_5) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (CommMonoidWithZero.toZero.{u4} 𝕜₂ (CommSemiring.toCommMonoidWithZero.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ 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(NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (CommMonoidWithZero.toZero.{u4} 𝕜₂ (CommSemiring.toCommMonoidWithZero.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_7))))) 𝕜₂ E₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2) (AddCommGroup.toAddGroup.{u3} E₂ _inst_5) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (CommMonoidWithZero.toZero.{u4} 𝕜₂ (CommSemiring.toCommMonoidWithZero.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_7)))) (Seminorm.instSeminormClass.{u4, u3} 𝕜₂ E₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2) (AddCommGroup.toAddGroup.{u3} E₂ _inst_5) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (CommMonoidWithZero.toZero.{u4} 𝕜₂ (CommSemiring.toCommMonoidWithZero.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_7)))))))) p (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_6 _inst_7) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : E) => E₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_6 _inst_7 σ₁₂) f x)))
+<too large>
 Case conversion may be inaccurate. Consider using '#align seminorm.comp_smul_apply Seminorm.comp_smul_applyₓ'. -/
 theorem comp_smul_apply (p : Seminorm 𝕜₂ E₂) (f : E →ₛₗ[σ₁₂] E₂) (c : 𝕜₂) (x : E) :
     p.comp (c • f) x = ‖c‖ * p (f x) :=
@@ -697,10 +634,7 @@ section NormedField
 variable [NormedField 𝕜] [AddCommGroup E] [Module 𝕜 E] {p q : Seminorm 𝕜 E} {x : E}
 
 /- warning: seminorm.bdd_below_range_add -> Seminorm.bddBelow_range_add is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {p : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))} {q : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))} {x : E}, BddBelow.{0} Real Real.preorder (Set.range.{0, succ u2} Real E (fun (u : E) => HAdd.hAdd.{0, 0, 0} Real Real Real (instHAdd.{0} Real Real.hasAdd) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (fun (_x : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) p u) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (fun (_x : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) q (HSub.hSub.{u2, u2, u2} E E E (instHSub.{u2} E (SubNegMonoid.toHasSub.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)))) x u))))
-but is expected to have type
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {p : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))} {q : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))} {x : E}, BddBelow.{0} Real Real.instPreorderReal (Set.range.{0, succ u2} Real E (fun (u : E) => HAdd.hAdd.{0, 0, 0} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) u) ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) (HSub.hSub.{u2, u2, u2} E E E (instHSub.{u2} E (SubNegMonoid.toSub.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)))) x u)) ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) u) 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𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Seminorm.instSeminormClass.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))))) p u) (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Seminorm.instSeminormClass.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))))) q (HSub.hSub.{u2, u2, u2} E E E (instHSub.{u2} E (SubNegMonoid.toSub.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)))) x u))))
+<too large>
 Case conversion may be inaccurate. Consider using '#align seminorm.bdd_below_range_add Seminorm.bddBelow_range_addₓ'. -/
 /-- Auxiliary lemma to show that the infimum of seminorms is well-defined. -/
 theorem bddBelow_range_add : BddBelow (range fun u => p u + q (x - u)) :=
@@ -731,10 +665,7 @@ noncomputable instance : Inf (Seminorm 𝕜 E)
         rw [smul_inv_smul₀ ha] }
 
 /- warning: seminorm.inf_apply -> Seminorm.inf_apply is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (p : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (q : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (x : E), Eq.{1} Real (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (fun (_x : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 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(AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Seminorm.hasInf.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) p q) x) (iInf.{0, succ u2} Real Real.hasInf E (fun (u : E) => HAdd.hAdd.{0, 0, 0} Real Real Real (instHAdd.{0} Real Real.hasAdd) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 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(fun (_x : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) p u) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (fun (_x : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) q (HSub.hSub.{u2, u2, u2} E E E (instHSub.{u2} E (SubNegMonoid.toHasSub.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)))) x u))))
-but is expected to have type
-  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : NormedField.{u2} 𝕜] [_inst_2 : AddCommGroup.{u1} E] [_inst_3 : Module.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)] (p : Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) (q : Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) (x : E), Eq.{1} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) x) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) E Real (AddCommGroup.toAddGroup.{u1} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))) (Seminorm.instSeminormClass.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))))))) (Inf.inf.{u1} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) 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(SubNegMonoid.toSub.{u1} E (AddGroup.toSubNegMonoid.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_2)))) x u)) ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) u) (instHAdd.{0} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) u) Real.instAddReal) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) _x) 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(Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) E Real (AddCommGroup.toAddGroup.{u1} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))) (Seminorm.instSeminormClass.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))))))) p u) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) E Real (AddCommGroup.toAddGroup.{u1} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))) (Seminorm.instSeminormClass.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))))))) q (HSub.hSub.{u1, u1, u1} E E E (instHSub.{u1} E (SubNegMonoid.toSub.{u1} E (AddGroup.toSubNegMonoid.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_2)))) x u))))
+<too large>
 Case conversion may be inaccurate. Consider using '#align seminorm.inf_apply Seminorm.inf_applyₓ'. -/
 @[simp]
 theorem inf_apply (p q : Seminorm 𝕜 E) (x : E) : (p ⊓ q) x = ⨅ u : E, p u + q (x - u) :=
@@ -752,10 +683,7 @@ noncomputable instance : Lattice (Seminorm 𝕜 E) :=
       le_ciInf fun u => (le_map_add_map_sub a _ _).trans <| add_le_add (hab _) (hac _) }
 
 /- warning: seminorm.smul_inf -> Seminorm.smul_inf is a dubious translation:
-lean 3 declaration is
-  forall {R : Type.{u1}} {𝕜 : Type.{u2}} {E : Type.{u3}} [_inst_1 : NormedField.{u2} 𝕜] [_inst_2 : AddCommGroup.{u3} E] [_inst_3 : Module.{u2, u3} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)] [_inst_4 : SMul.{u1, 0} R Real] [_inst_5 : SMul.{u1, 0} R NNReal] [_inst_6 : IsScalarTower.{u1, 0, 0} R NNReal Real _inst_5 (SMulZeroClass.toHasSmul.{0, 0} NNReal Real (AddZeroClass.toHasZero.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real Real.addCommMonoid))) (SMulWithZero.toSmulZeroClass.{0, 0} NNReal Real (MulZeroClass.toHasZero.{0} NNReal (MulZeroOneClass.toMulZeroClass.{0} NNReal (MonoidWithZero.toMulZeroOneClass.{0} NNReal (Semiring.toMonoidWithZero.{0} NNReal NNReal.semiring)))) (AddZeroClass.toHasZero.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real Real.addCommMonoid))) (MulActionWithZero.toSMulWithZero.{0, 0} NNReal Real (Semiring.toMonoidWithZero.{0} NNReal NNReal.semiring) (AddZeroClass.toHasZero.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real Real.addCommMonoid))) (Module.toMulActionWithZero.{0, 0} NNReal Real NNReal.semiring Real.addCommMonoid (NNReal.module.{0} Real Real.addCommMonoid Real.module))))) _inst_4] (r : R) (p : Seminorm.{u2, u3} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u3} E _inst_2) (SMulZeroClass.toHasSmul.{u2, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u2, u3} 𝕜 E (MulZeroClass.toHasZero.{u2} 𝕜 (MulZeroOneClass.toMulZeroClass.{u2} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u3} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)))) (Module.toMulActionWithZero.{u2, u3} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3))))) (q : Seminorm.{u2, u3} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u3} E _inst_2) (SMulZeroClass.toHasSmul.{u2, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u2, u3} 𝕜 E (MulZeroClass.toHasZero.{u2} 𝕜 (MulZeroOneClass.toMulZeroClass.{u2} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u3} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)))) (Module.toMulActionWithZero.{u2, u3} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3))))), Eq.{succ u3} (Seminorm.{u2, u3} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u3} E _inst_2) (SMulZeroClass.toHasSmul.{u2, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u2, u3} 𝕜 E (MulZeroClass.toHasZero.{u2} 𝕜 (MulZeroOneClass.toMulZeroClass.{u2} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u3} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)))) (Module.toMulActionWithZero.{u2, u3} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3))))) (SMul.smul.{u1, u3} R (Seminorm.{u2, u3} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u3} E _inst_2) (SMulZeroClass.toHasSmul.{u2, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u2, u3} 𝕜 E (MulZeroClass.toHasZero.{u2} 𝕜 (MulZeroOneClass.toMulZeroClass.{u2} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u3} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)))) (Module.toMulActionWithZero.{u2, u3} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3))))) (Seminorm.hasSmul.{u1, u2, u3} R 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u3} E _inst_2) (SMulZeroClass.toHasSmul.{u2, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u2, u3} 𝕜 E (MulZeroClass.toHasZero.{u2} 𝕜 (MulZeroOneClass.toMulZeroClass.{u2} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u3} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)))) (Module.toMulActionWithZero.{u2, u3} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3)))) _inst_4 _inst_5 _inst_6) r (Inf.inf.{u3} (Seminorm.{u2, u3} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u3} E _inst_2) (SMulZeroClass.toHasSmul.{u2, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u2, u3} 𝕜 E (MulZeroClass.toHasZero.{u2} 𝕜 (MulZeroOneClass.toMulZeroClass.{u2} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u3} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)))) (Module.toMulActionWithZero.{u2, u3} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3))))) (Seminorm.hasInf.{u2, u3} 𝕜 E _inst_1 _inst_2 _inst_3) p q)) (Inf.inf.{u3} (Seminorm.{u2, u3} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u3} E _inst_2) (SMulZeroClass.toHasSmul.{u2, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u2, u3} 𝕜 E (MulZeroClass.toHasZero.{u2} 𝕜 (MulZeroOneClass.toMulZeroClass.{u2} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u3} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)))) (Module.toMulActionWithZero.{u2, u3} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3))))) (Seminorm.hasInf.{u2, u3} 𝕜 E _inst_1 _inst_2 _inst_3) (SMul.smul.{u1, u3} R (Seminorm.{u2, u3} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u3} E _inst_2) (SMulZeroClass.toHasSmul.{u2, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u2, u3} 𝕜 E (MulZeroClass.toHasZero.{u2} 𝕜 (MulZeroOneClass.toMulZeroClass.{u2} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u3} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)))) (Module.toMulActionWithZero.{u2, u3} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3))))) (Seminorm.hasSmul.{u1, u2, u3} R 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u3} E _inst_2) (SMulZeroClass.toHasSmul.{u2, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u2, u3} 𝕜 E (MulZeroClass.toHasZero.{u2} 𝕜 (MulZeroOneClass.toMulZeroClass.{u2} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u3} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)))) (Module.toMulActionWithZero.{u2, u3} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3)))) _inst_4 _inst_5 _inst_6) r p) (SMul.smul.{u1, u3} R (Seminorm.{u2, u3} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u3} E _inst_2) (SMulZeroClass.toHasSmul.{u2, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u2, u3} 𝕜 E (MulZeroClass.toHasZero.{u2} 𝕜 (MulZeroOneClass.toMulZeroClass.{u2} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u3} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)))) (Module.toMulActionWithZero.{u2, u3} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3))))) (Seminorm.hasSmul.{u1, u2, u3} R 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u3} E _inst_2) (SMulZeroClass.toHasSmul.{u2, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u2, u3} 𝕜 E (MulZeroClass.toHasZero.{u2} 𝕜 (MulZeroOneClass.toMulZeroClass.{u2} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u3} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)))) (Module.toMulActionWithZero.{u2, u3} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3)))) _inst_4 _inst_5 _inst_6) r q))
-but is expected to have type
-  forall {R : Type.{u3}} {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : NormedField.{u2} 𝕜] [_inst_2 : AddCommGroup.{u1} E] [_inst_3 : Module.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)] [_inst_4 : SMul.{u3, 0} R Real] [_inst_5 : SMul.{u3, 0} R NNReal] [_inst_6 : IsScalarTower.{u3, 0, 0} R NNReal Real _inst_5 Seminorm.smul_nnreal_real _inst_4] (r : R) (p : Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) (q : Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))), Eq.{succ u1} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) (HSMul.hSMul.{u3, u1, u1} R (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) (instHSMul.{u3, u1} R (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) (Seminorm.instSMul.{u3, u2, u1} R 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))) _inst_4 _inst_5 _inst_6)) r (Inf.inf.{u1} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) (Seminorm.instInf.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) p q)) (Inf.inf.{u1} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) (Seminorm.instInf.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (HSMul.hSMul.{u3, u1, u1} R (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) (instHSMul.{u3, u1} R (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) (Seminorm.instSMul.{u3, u2, u1} R 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))) _inst_4 _inst_5 _inst_6)) r p) (HSMul.hSMul.{u3, u1, u1} R (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) (instHSMul.{u3, u1} R (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) (Seminorm.instSMul.{u3, u2, u1} R 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))) _inst_4 _inst_5 _inst_6)) r q))
+<too large>
 Case conversion may be inaccurate. Consider using '#align seminorm.smul_inf Seminorm.smul_infₓ'. -/
 theorem smul_inf [SMul R ℝ] [SMul R ℝ≥0] [IsScalarTower R ℝ≥0 ℝ] (r : R) (p q : Seminorm 𝕜 E) :
     r • (p ⊓ q) = r • p ⊓ r • q := by
@@ -823,10 +751,7 @@ noncomputable instance : SupSet (Seminorm 𝕜 E)
     else ⊥
 
 /- warning: seminorm.coe_Sup_eq' -> Seminorm.coe_sSup_eq' is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {s : Set.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))}, (BddAbove.{u2} (E -> Real) (Pi.preorder.{u2, 0} E (fun (ᾰ : E) => Real) (fun (i : E) => Real.preorder)) (Set.image.{u2, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 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_inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (E -> Real) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 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(NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) s)) -> (Eq.{succ u2} (E -> Real) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (fun (_x : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (SupSet.sSup.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 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(Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) s) => coeFn.{succ u2, succ u2} (coeSort.{succ u2, succ (succ u2)} (Set.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) 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(AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) s) (fun (x : coeSort.{succ u2, succ (succ u2)} (Set.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 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(AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) s) => E -> Real) (coeFnTrans.{succ u2, succ u2, succ u2} (coeSort.{succ u2, succ (succ u2)} (Set.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 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(NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) s) (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 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(NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (coeBaseAux.{succ u2, succ u2} (coeSort.{succ u2, succ (succ u2)} (Set.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 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_inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) Type.{u2} (Set.hasCoeToSort.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) s) (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (coeSubtype.{succ u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (fun (x : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) => Membership.Mem.{u2, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Set.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) (Set.hasMem.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) x s)))) p)))
-but is expected to have type
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {s : Set.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))}, (BddAbove.{u2} (E -> Real) (Pi.preorder.{u2, 0} E (fun (ᾰ : E) => Real) (fun (i : E) => Real.instPreorderReal)) (Set.image.{u2, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (E -> Real) (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E (fun (ᾰ : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) ᾰ) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Seminorm.instSeminormClass.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))))))) s)) -> (Eq.{succ u2} (forall (ᾰ : E), (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) ᾰ) (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Seminorm.instSeminormClass.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))))) (SupSet.sSup.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Seminorm.instSupSet.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) s)) (iSup.{u2, succ u2} (forall (ᾰ : E), (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) ᾰ) (Pi.supSet.{u2, 0} E (fun (ᾰ : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) ᾰ) (fun (i : E) => Real.instSupSetReal)) (Set.Elem.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) s) (fun (p : Set.Elem.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) s) => FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E (fun (x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Seminorm.instSeminormClass.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))))) (Subtype.val.{succ u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (fun (x : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) => Membership.mem.{u2, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Set.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) (Set.instMembershipSet.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) x s) p))))
+<too large>
 Case conversion may be inaccurate. Consider using '#align seminorm.coe_Sup_eq' Seminorm.coe_sSup_eq'ₓ'. -/
 protected theorem coe_sSup_eq' {s : Set <| Seminorm 𝕜 E}
     (hs : BddAbove (coeFn '' s : Set (E → ℝ))) : coeFn (sSup s) = ⨆ p : s, p :=
@@ -834,10 +759,7 @@ protected theorem coe_sSup_eq' {s : Set <| Seminorm 𝕜 E}
 #align seminorm.coe_Sup_eq' Seminorm.coe_sSup_eq'
 
 /- warning: seminorm.bdd_above_iff -> Seminorm.bddAbove_iff is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {s : Set.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))}, Iff (BddAbove.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (PartialOrder.toPreorder.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Seminorm.partialOrder.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) s) (BddAbove.{u2} (E -> Real) (Pi.preorder.{u2, 0} E (fun (ᾰ : E) => Real) (fun (i : E) => Real.preorder)) (Set.image.{u2, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (E -> Real) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (fun (ᾰ : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) s))
-but is expected to have type
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {s : Set.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))}, Iff (BddAbove.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (PartialOrder.toPreorder.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Seminorm.instPartialOrder.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) s) (BddAbove.{u2} (E -> Real) (Pi.preorder.{u2, 0} E (fun (ᾰ : E) => Real) (fun (i : E) => Real.instPreorderReal)) (Set.image.{u2, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (E -> Real) (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E (fun (ᾰ : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) ᾰ) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Seminorm.instSeminormClass.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))))))) s))
+<too large>
 Case conversion may be inaccurate. Consider using '#align seminorm.bdd_above_iff Seminorm.bddAbove_iffₓ'. -/
 protected theorem bddAbove_iff {s : Set <| Seminorm 𝕜 E} :
     BddAbove s ↔ BddAbove (coeFn '' s : Set (E → ℝ)) :=
@@ -850,10 +772,7 @@ protected theorem bddAbove_iff {s : Set <| Seminorm 𝕜 E} :
 #align seminorm.bdd_above_iff Seminorm.bddAbove_iff
 
 /- warning: seminorm.coe_Sup_eq -> Seminorm.coe_sSup_eq is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {s : Set.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))}, (BddAbove.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (PartialOrder.toPreorder.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Seminorm.partialOrder.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) s) -> (Eq.{succ u2} (E -> Real) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (fun (_x : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (SupSet.sSup.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) 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(AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Seminorm.hasSup.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) s)) (iSup.{u2, succ u2} (E -> Real) (Pi.supSet.{u2, 0} E (fun (ᾰ : E) => Real) (fun (i : E) => Real.hasSup)) (coeSort.{succ u2, succ (succ u2)} (Set.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 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(Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) s) => coeFn.{succ u2, succ u2} (coeSort.{succ u2, succ (succ u2)} (Set.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} 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(AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) Type.{u2} (Set.hasCoeToSort.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) s) => E -> Real) (coeFnTrans.{succ u2, succ u2, succ u2} (coeSort.{succ u2, succ (succ u2)} (Set.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) Type.{u2} (Set.hasCoeToSort.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) s) (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (fun (_x : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (coeBaseAux.{succ u2, succ u2} (coeSort.{succ u2, succ (succ u2)} (Set.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) Type.{u2} (Set.hasCoeToSort.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) s) (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (coeSubtype.{succ u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (fun (x : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) => Membership.Mem.{u2, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Set.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) (Set.hasMem.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) x s)))) p)))
-but is expected to have type
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {s : Set.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))}, (BddAbove.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (PartialOrder.toPreorder.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Seminorm.instPartialOrder.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) s) -> (Eq.{succ u2} (forall (ᾰ : E), (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) ᾰ) (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Seminorm.instSeminormClass.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))))) (SupSet.sSup.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Seminorm.instSupSet.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) s)) (iSup.{u2, succ u2} (forall (ᾰ : E), (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) ᾰ) (Pi.supSet.{u2, 0} E (fun (ᾰ : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) ᾰ) (fun (i : E) => Real.instSupSetReal)) (Set.Elem.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) s) (fun (p : Set.Elem.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) s) => FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E (fun (x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Seminorm.instSeminormClass.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))))) (Subtype.val.{succ u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (fun (x : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) => Membership.mem.{u2, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Set.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) (Set.instMembershipSet.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) x s) p))))
+<too large>
 Case conversion may be inaccurate. Consider using '#align seminorm.coe_Sup_eq Seminorm.coe_sSup_eqₓ'. -/
 protected theorem coe_sSup_eq {s : Set <| Seminorm 𝕜 E} (hs : BddAbove s) :
     coeFn (sSup s) = ⨆ p : s, p :=
@@ -861,10 +780,7 @@ protected theorem coe_sSup_eq {s : Set <| Seminorm 𝕜 E} (hs : BddAbove s) :
 #align seminorm.coe_Sup_eq Seminorm.coe_sSup_eq
 
 /- warning: seminorm.coe_supr_eq -> Seminorm.coe_iSup_eq is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {ι : Type.{u3}} {p : ι -> (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))}, (BddAbove.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (PartialOrder.toPreorder.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Seminorm.partialOrder.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) (Set.range.{u2, succ u3} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) ι p)) -> (Eq.{succ u2} (E -> Real) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (fun (_x : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (iSup.{u2, succ u3} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Seminorm.hasSup.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) ι (fun (i : ι) => p i))) (iSup.{u2, succ u3} (E -> Real) (Pi.supSet.{u2, 0} E (fun (ᾰ : E) => Real) (fun (i : E) => Real.hasSup)) ι (fun (i : ι) => coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (fun (_x : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (p i))))
-but is expected to have type
-  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : NormedField.{u2} 𝕜] [_inst_2 : AddCommGroup.{u1} E] [_inst_3 : Module.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)] {ι : Type.{u3}} {p : ι -> (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))))}, (BddAbove.{u1} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) (PartialOrder.toPreorder.{u1} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) (Seminorm.instPartialOrder.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))))) (Set.range.{u1, succ u3} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) ι p)) -> (Eq.{succ u1} (forall (ᾰ : E), (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) ᾰ) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) E Real (AddCommGroup.toAddGroup.{u1} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))) (Seminorm.instSeminormClass.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))))))) (iSup.{u1, succ u3} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) (Seminorm.instSupSet.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) ι (fun (i : ι) => p i))) (iSup.{u1, succ u3} (forall (ᾰ : E), (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) ᾰ) (Pi.supSet.{u1, 0} E (fun (ᾰ : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) ᾰ) (fun (i : E) => Real.instSupSetReal)) ι (fun (i : ι) => FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) E Real (AddCommGroup.toAddGroup.{u1} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))) (Seminorm.instSeminormClass.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))))))) (p i))))
+<too large>
 Case conversion may be inaccurate. Consider using '#align seminorm.coe_supr_eq Seminorm.coe_iSup_eqₓ'. -/
 protected theorem coe_iSup_eq {ι : Type _} {p : ι → Seminorm 𝕜 E} (hp : BddAbove (range p)) :
     coeFn (⨆ i, p i) = ⨆ i, p i := by
@@ -879,7 +795,6 @@ private theorem seminorm.is_lub_Sup (s : Set (Seminorm 𝕜 E)) (hs₁ : BddAbov
   · rcases hs₁ with ⟨q, hq⟩
     exact le_ciSup ⟨q x, forall_range_iff.mpr fun i : s => hq i.2 x⟩ ⟨p, hp⟩
   · exact ciSup_le fun q => hp q.2 x
-#align seminorm.seminorm.is_lub_Sup seminorm.seminorm.is_lub_Sup
 
 /-- `seminorm 𝕜 E` is a conditionally complete lattice.
 
@@ -1235,10 +1150,7 @@ variable [SeminormedRing 𝕜₂] [AddCommGroup E₂] [Module 𝕜₂ E₂]
 variable {σ₁₂ : 𝕜 →+* 𝕜₂} [RingHomIsometric σ₁₂]
 
 /- warning: seminorm.ball_comp -> Seminorm.ball_comp is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align seminorm.ball_comp Seminorm.ball_compₓ'. -/
 theorem ball_comp (p : Seminorm 𝕜₂ E₂) (f : E →ₛₗ[σ₁₂] E₂) (x : E) (r : ℝ) :
     (p.comp f).ball x r = f ⁻¹' p.ball (f x) r :=
@@ -1248,10 +1160,7 @@ theorem ball_comp (p : Seminorm 𝕜₂ E₂) (f : E →ₛₗ[σ₁₂] E₂) (
 #align seminorm.ball_comp Seminorm.ball_comp
 
 /- warning: seminorm.closed_ball_comp -> Seminorm.closedBall_comp is a dubious translation:
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Seminorm.{u4, u3} 𝕜₂ E₂ _inst_4 (AddCommGroup.toAddGroup.{u3} E₂ _inst_5) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_6))))) (f : LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_3 _inst_6) (x : E) (r : Real), Eq.{succ u1} (Set.{u1} E) (Seminorm.closedBall.{u2, u1} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))) (Seminorm.comp.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ _inst_1 _inst_4 σ₁₂ _inst_7 _inst_2 _inst_5 _inst_3 _inst_6 p f) x r) 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(AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_6)))) p (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_3 _inst_6) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : E) => E₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_3 _inst_6 σ₁₂) f x) r))
+<too large>
 Case conversion may be inaccurate. Consider using '#align seminorm.closed_ball_comp Seminorm.closedBall_compₓ'. -/
 theorem closedBall_comp (p : Seminorm 𝕜₂ E₂) (f : E →ₛₗ[σ₁₂] E₂) (x : E) (r : ℝ) :
     (p.comp f).closedBall x r = f ⁻¹' p.closedBall (f x) r :=
@@ -1263,10 +1172,7 @@ theorem closedBall_comp (p : Seminorm 𝕜₂ E₂) (f : E →ₛₗ[σ₁₂] E
 variable (p : Seminorm 𝕜 E)
 
 /- warning: seminorm.preimage_metric_ball -> Seminorm.preimage_metric_ball is a dubious translation:
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(AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) p x) r))
-but is expected to have type
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (p : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) {r : Real}, Eq.{succ u2} (Set.{u2} E) (Set.preimage.{u2, 0} E Real (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Seminorm.instSeminormClass.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))))) p) (Metric.ball.{0} Real Real.pseudoMetricSpace (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) r)) (setOf.{u2} E (fun (x : E) => LT.lt.{0} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) x) Real.instLTReal (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) 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_inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))))) p x) r))
+<too large>
 Case conversion may be inaccurate. Consider using '#align seminorm.preimage_metric_ball Seminorm.preimage_metric_ballₓ'. -/
 theorem preimage_metric_ball {r : ℝ} : p ⁻¹' Metric.ball 0 r = { x | p x < r } :=
   by
@@ -1275,10 +1181,7 @@ theorem preimage_metric_ball {r : ℝ} : p ⁻¹' Metric.ball 0 r = { x | p x <
 #align seminorm.preimage_metric_ball Seminorm.preimage_metric_ball
 
 /- warning: seminorm.preimage_metric_closed_ball -> Seminorm.preimage_metric_closedBall is a dubious translation:
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(AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) p x) r))
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-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (p : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) {r : Real}, Eq.{succ u2} (Set.{u2} E) (Set.preimage.{u2, 0} E Real (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Seminorm.instSeminormClass.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E 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(AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))))) p) (Metric.closedBall.{0} Real Real.pseudoMetricSpace (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) r)) (setOf.{u2} E (fun (x : E) => LE.le.{0} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) x) Real.instLEReal (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 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+<too large>
 Case conversion may be inaccurate. Consider using '#align seminorm.preimage_metric_closed_ball Seminorm.preimage_metric_closedBallₓ'. -/
 theorem preimage_metric_closedBall {r : ℝ} : p ⁻¹' Metric.closedBall 0 r = { x | p x ≤ r } :=
   by
@@ -1288,20 +1191,14 @@ theorem preimage_metric_closedBall {r : ℝ} : p ⁻¹' Metric.closedBall 0 r =
 #align seminorm.preimage_metric_closed_ball Seminorm.preimage_metric_closedBall
 
 /- warning: seminorm.ball_zero_eq_preimage_ball -> Seminorm.ball_zero_eq_preimage_ball is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align seminorm.ball_zero_eq_preimage_ball Seminorm.ball_zero_eq_preimage_ballₓ'. -/
 theorem ball_zero_eq_preimage_ball {r : ℝ} : p.ball 0 r = p ⁻¹' Metric.ball 0 r := by
   rw [ball_zero_eq, preimage_metric_ball]
 #align seminorm.ball_zero_eq_preimage_ball Seminorm.ball_zero_eq_preimage_ball
 
 /- warning: seminorm.closed_ball_zero_eq_preimage_closed_ball -> Seminorm.closedBall_zero_eq_preimage_closedBall is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align seminorm.closed_ball_zero_eq_preimage_closed_ball Seminorm.closedBall_zero_eq_preimage_closedBallₓ'. -/
 theorem closedBall_zero_eq_preimage_closedBall {r : ℝ} :
     p.closedBall 0 r = p ⁻¹' Metric.closedBall 0 r := by
@@ -1309,10 +1206,7 @@ theorem closedBall_zero_eq_preimage_closedBall {r : ℝ} :
 #align seminorm.closed_ball_zero_eq_preimage_closed_ball Seminorm.closedBall_zero_eq_preimage_closedBall
 
 /- warning: seminorm.ball_bot -> Seminorm.ball_bot is a dubious translation:
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(Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))))) (Seminorm.instOrderBot.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) x r) (Set.univ.{u2} E))
+<too large>
 Case conversion may be inaccurate. Consider using '#align seminorm.ball_bot Seminorm.ball_botₓ'. -/
 @[simp]
 theorem ball_bot {r : ℝ} (x : E) (hr : 0 < r) : ball (⊥ : Seminorm 𝕜 E) x r = Set.univ :=
@@ -1320,10 +1214,7 @@ theorem ball_bot {r : ℝ} (x : E) (hr : 0 < r) : ball (⊥ : Seminorm 𝕜 E) x
 #align seminorm.ball_bot Seminorm.ball_bot
 
 /- warning: seminorm.closed_ball_bot -> Seminorm.closedBall_bot is a dubious translation:
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_inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 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(AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))))) (Seminorm.orderBot.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) x r) (Set.univ.{u2} E))
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+<too large>
 Case conversion may be inaccurate. Consider using '#align seminorm.closed_ball_bot Seminorm.closedBall_botₓ'. -/
 @[simp]
 theorem closedBall_bot {r : ℝ} (x : E) (hr : 0 < r) :
@@ -1366,10 +1257,7 @@ theorem balanced_closedBall_zero (r : ℝ) : Balanced 𝕜 (closedBall p 0 r) :=
 #align seminorm.balanced_closed_ball_zero Seminorm.balanced_closedBall_zero
 
 /- warning: seminorm.ball_finset_sup_eq_Inter -> Seminorm.ball_finset_sup_eq_iInter is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} {ι : Type.{u3}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (p : ι -> (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) (s : Finset.{u3} ι) (x : E) {r : Real}, (LT.lt.{0} Real Real.hasLt (OfNat.ofNat.{0} Real 0 (OfNat.mk.{0} Real 0 (Zero.zero.{0} Real Real.hasZero))) r) -> (Eq.{succ u2} (Set.{u2} E) (Seminorm.ball.{u1, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Finset.sup.{u2, u3} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) ι (Seminorm.semilatticeSup.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Seminorm.orderBot.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) s p) x r) (Set.iInter.{u2, succ u3} E ι (fun (i : ι) => Set.iInter.{u2, 0} E (Membership.Mem.{u3, u3} ι (Finset.{u3} ι) (Finset.hasMem.{u3} ι) i s) (fun (H : Membership.Mem.{u3, u3} ι (Finset.{u3} ι) (Finset.hasMem.{u3} ι) i s) => Seminorm.ball.{u1, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (p i) x r))))
-but is expected to have type
-  forall {𝕜 : Type.{u3}} {E : Type.{u2}} {ι : Type.{u1}} [_inst_1 : SeminormedRing.{u3} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (p : ι -> (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) (s : Finset.{u1} ι) (x : E) {r : Real}, (LT.lt.{0} Real Real.instLTReal (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) r) -> (Eq.{succ u2} (Set.{u2} E) (Seminorm.ball.{u3, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Finset.sup.{u2, u1} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) ι (Seminorm.instSemilatticeSup.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Seminorm.instOrderBot.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3) s p) x r) (Set.iInter.{u2, succ u1} E ι (fun (i : ι) => Set.iInter.{u2, 0} E (Membership.mem.{u1, u1} ι (Finset.{u1} ι) (Finset.instMembershipFinset.{u1} ι) i s) (fun (H : Membership.mem.{u1, u1} ι (Finset.{u1} ι) (Finset.instMembershipFinset.{u1} ι) i s) => Seminorm.ball.{u3, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (p i) x r))))
+<too large>
 Case conversion may be inaccurate. Consider using '#align seminorm.ball_finset_sup_eq_Inter Seminorm.ball_finset_sup_eq_iInterₓ'. -/
 theorem ball_finset_sup_eq_iInter (p : ι → Seminorm 𝕜 E) (s : Finset ι) (x : E) {r : ℝ}
     (hr : 0 < r) : ball (s.sup p) x r = ⋂ i ∈ s, ball (p i) x r :=
@@ -1380,10 +1268,7 @@ theorem ball_finset_sup_eq_iInter (p : ι → Seminorm 𝕜 E) (s : Finset ι) (
 #align seminorm.ball_finset_sup_eq_Inter Seminorm.ball_finset_sup_eq_iInter
 
 /- warning: seminorm.closed_ball_finset_sup_eq_Inter -> Seminorm.closedBall_finset_sup_eq_iInter is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} {ι : Type.{u3}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (p : ι -> (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) (s : Finset.{u3} ι) (x : E) {r : Real}, (LE.le.{0} Real Real.hasLe (OfNat.ofNat.{0} Real 0 (OfNat.mk.{0} Real 0 (Zero.zero.{0} Real Real.hasZero))) r) -> (Eq.{succ u2} (Set.{u2} E) (Seminorm.closedBall.{u1, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Finset.sup.{u2, u3} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) ι (Seminorm.semilatticeSup.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Seminorm.orderBot.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) s p) x r) (Set.iInter.{u2, succ u3} E ι (fun (i : ι) => Set.iInter.{u2, 0} E (Membership.Mem.{u3, u3} ι (Finset.{u3} ι) (Finset.hasMem.{u3} ι) i s) (fun (H : Membership.Mem.{u3, u3} ι (Finset.{u3} ι) (Finset.hasMem.{u3} ι) i s) => Seminorm.closedBall.{u1, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (p i) x r))))
-but is expected to have type
-  forall {𝕜 : Type.{u3}} {E : Type.{u2}} {ι : Type.{u1}} [_inst_1 : SeminormedRing.{u3} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (p : ι -> (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) (s : Finset.{u1} ι) (x : E) {r : Real}, (LE.le.{0} Real Real.instLEReal (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) r) -> (Eq.{succ u2} (Set.{u2} E) (Seminorm.closedBall.{u3, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Finset.sup.{u2, u1} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) ι (Seminorm.instSemilatticeSup.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Seminorm.instOrderBot.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3) s p) x r) (Set.iInter.{u2, succ u1} E ι (fun (i : ι) => Set.iInter.{u2, 0} E (Membership.mem.{u1, u1} ι (Finset.{u1} ι) (Finset.instMembershipFinset.{u1} ι) i s) (fun (H : Membership.mem.{u1, u1} ι (Finset.{u1} ι) (Finset.instMembershipFinset.{u1} ι) i s) => Seminorm.closedBall.{u3, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (p i) x r))))
+<too large>
 Case conversion may be inaccurate. Consider using '#align seminorm.closed_ball_finset_sup_eq_Inter Seminorm.closedBall_finset_sup_eq_iInterₓ'. -/
 theorem closedBall_finset_sup_eq_iInter (p : ι → Seminorm 𝕜 E) (s : Finset ι) (x : E) {r : ℝ}
     (hr : 0 ≤ r) : closedBall (s.sup p) x r = ⋂ i ∈ s, closedBall (p i) x r :=
@@ -1394,10 +1279,7 @@ theorem closedBall_finset_sup_eq_iInter (p : ι → Seminorm 𝕜 E) (s : Finset
 #align seminorm.closed_ball_finset_sup_eq_Inter Seminorm.closedBall_finset_sup_eq_iInter
 
 /- warning: seminorm.ball_finset_sup -> Seminorm.ball_finset_sup is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} {ι : Type.{u3}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (p : ι -> (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) (s : Finset.{u3} ι) (x : E) {r : Real}, (LT.lt.{0} Real Real.hasLt (OfNat.ofNat.{0} Real 0 (OfNat.mk.{0} Real 0 (Zero.zero.{0} Real Real.hasZero))) r) -> (Eq.{succ u2} (Set.{u2} E) (Seminorm.ball.{u1, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Finset.sup.{u2, u3} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) ι (Seminorm.semilatticeSup.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Seminorm.orderBot.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) s p) x r) (Finset.inf.{u2, u3} (Set.{u2} E) ι (Lattice.toSemilatticeInf.{u2} (Set.{u2} E) (ConditionallyCompleteLattice.toLattice.{u2} (Set.{u2} E) (CompleteLattice.toConditionallyCompleteLattice.{u2} (Set.{u2} E) (Order.Coframe.toCompleteLattice.{u2} (Set.{u2} E) (CompleteDistribLattice.toCoframe.{u2} (Set.{u2} E) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u2} (Set.{u2} E) (Set.completeBooleanAlgebra.{u2} E))))))) (Set.orderTop.{u2} E) s (fun (i : ι) => Seminorm.ball.{u1, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (p i) x r)))
-but is expected to have type
-  forall {𝕜 : Type.{u3}} {E : Type.{u2}} {ι : Type.{u1}} [_inst_1 : SeminormedRing.{u3} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (p : ι -> (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) (s : Finset.{u1} ι) (x : E) {r : Real}, (LT.lt.{0} Real Real.instLTReal (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) r) -> (Eq.{succ u2} (Set.{u2} E) (Seminorm.ball.{u3, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Finset.sup.{u2, u1} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) ι (Seminorm.instSemilatticeSup.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Seminorm.instOrderBot.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3) s p) x r) (Finset.inf.{u2, u1} (Set.{u2} E) ι (Lattice.toSemilatticeInf.{u2} (Set.{u2} E) (ConditionallyCompleteLattice.toLattice.{u2} (Set.{u2} E) (CompleteLattice.toConditionallyCompleteLattice.{u2} (Set.{u2} E) (Order.Coframe.toCompleteLattice.{u2} (Set.{u2} E) (CompleteDistribLattice.toCoframe.{u2} (Set.{u2} E) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u2} (Set.{u2} E) (Set.instCompleteBooleanAlgebraSet.{u2} E))))))) (Set.instOrderTopSetInstLESet.{u2} E) s (fun (i : ι) => Seminorm.ball.{u3, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (p i) x r)))
+<too large>
 Case conversion may be inaccurate. Consider using '#align seminorm.ball_finset_sup Seminorm.ball_finset_supₓ'. -/
 theorem ball_finset_sup (p : ι → Seminorm 𝕜 E) (s : Finset ι) (x : E) {r : ℝ} (hr : 0 < r) :
     ball (s.sup p) x r = s.inf fun i => ball (p i) x r :=
@@ -1407,10 +1289,7 @@ theorem ball_finset_sup (p : ι → Seminorm 𝕜 E) (s : Finset ι) (x : E) {r
 #align seminorm.ball_finset_sup Seminorm.ball_finset_sup
 
 /- warning: seminorm.closed_ball_finset_sup -> Seminorm.closedBall_finset_sup is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} {ι : Type.{u3}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (p : ι -> (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) (s : Finset.{u3} ι) (x : E) {r : Real}, (LE.le.{0} Real Real.hasLe (OfNat.ofNat.{0} Real 0 (OfNat.mk.{0} Real 0 (Zero.zero.{0} Real Real.hasZero))) r) -> (Eq.{succ u2} (Set.{u2} E) (Seminorm.closedBall.{u1, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Finset.sup.{u2, u3} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) ι (Seminorm.semilatticeSup.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Seminorm.orderBot.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) s p) x r) (Finset.inf.{u2, u3} (Set.{u2} E) ι (Lattice.toSemilatticeInf.{u2} (Set.{u2} E) (ConditionallyCompleteLattice.toLattice.{u2} (Set.{u2} E) (CompleteLattice.toConditionallyCompleteLattice.{u2} (Set.{u2} E) (Order.Coframe.toCompleteLattice.{u2} (Set.{u2} E) (CompleteDistribLattice.toCoframe.{u2} (Set.{u2} E) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u2} (Set.{u2} E) (Set.completeBooleanAlgebra.{u2} E))))))) (Set.orderTop.{u2} E) s (fun (i : ι) => Seminorm.closedBall.{u1, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (p i) x r)))
-but is expected to have type
-  forall {𝕜 : Type.{u3}} {E : Type.{u2}} {ι : Type.{u1}} [_inst_1 : SeminormedRing.{u3} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (p : ι -> (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) (s : Finset.{u1} ι) (x : E) {r : Real}, (LE.le.{0} Real Real.instLEReal (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) r) -> (Eq.{succ u2} (Set.{u2} E) (Seminorm.closedBall.{u3, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Finset.sup.{u2, u1} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) ι (Seminorm.instSemilatticeSup.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Seminorm.instOrderBot.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3) s p) x r) (Finset.inf.{u2, u1} (Set.{u2} E) ι (Lattice.toSemilatticeInf.{u2} (Set.{u2} E) (ConditionallyCompleteLattice.toLattice.{u2} (Set.{u2} E) (CompleteLattice.toConditionallyCompleteLattice.{u2} (Set.{u2} E) (Order.Coframe.toCompleteLattice.{u2} (Set.{u2} E) (CompleteDistribLattice.toCoframe.{u2} (Set.{u2} E) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u2} (Set.{u2} E) (Set.instCompleteBooleanAlgebraSet.{u2} E))))))) (Set.instOrderTopSetInstLESet.{u2} E) s (fun (i : ι) => Seminorm.closedBall.{u3, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (p i) x r)))
+<too large>
 Case conversion may be inaccurate. Consider using '#align seminorm.closed_ball_finset_sup Seminorm.closedBall_finset_supₓ'. -/
 theorem closedBall_finset_sup (p : ι → Seminorm 𝕜 E) (s : Finset ι) (x : E) {r : ℝ} (hr : 0 ≤ r) :
     closedBall (s.sup p) x r = s.inf fun i => closedBall (p i) x r :=
@@ -1420,10 +1299,7 @@ theorem closedBall_finset_sup (p : ι → Seminorm 𝕜 E) (s : Finset ι) (x :
 #align seminorm.closed_ball_finset_sup Seminorm.closedBall_finset_sup
 
 /- warning: seminorm.ball_smul_ball -> Seminorm.ball_smul_ball is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (p : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (r₁ : Real) (r₂ : Real), HasSubset.Subset.{u2} (Set.{u2} E) (Set.hasSubset.{u2} E) (SMul.smul.{u1, u2} (Set.{u1} 𝕜) (Set.{u2} E) (Set.smul.{u1, u2} 𝕜 E (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Metric.ball.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))))))))) r₁) (Seminorm.ball.{u1, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) p (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)))))))) r₂)) (Seminorm.ball.{u1, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) p (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)))))))) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) r₁ r₂))
-but is expected to have type
-  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_2 : AddCommGroup.{u1} E] [_inst_3 : Module.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)] (p : Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) (r₁ : Real) (r₂ : Real), HasSubset.Subset.{u1} (Set.{u1} E) (Set.instHasSubsetSet.{u1} E) (HSMul.hSMul.{u2, u1, u1} (Set.{u2} 𝕜) (Set.{u1} E) (Set.{u1} E) (instHSMul.{u2, u1} (Set.{u2} 𝕜) (Set.{u1} E) (Set.smul.{u2, u1} 𝕜 E (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))))) (Metric.ball.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 _inst_1) (OfNat.ofNat.{u2} 𝕜 0 (Zero.toOfNat0.{u2} 𝕜 (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))))) r₁) (Seminorm.ball.{u2, u1} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))) p (OfNat.ofNat.{u1} E 0 (Zero.toOfNat0.{u1} E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))))) r₂)) (Seminorm.ball.{u2, u1} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))) p (OfNat.ofNat.{u1} E 0 (Zero.toOfNat0.{u1} E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))))) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) r₁ r₂))
+<too large>
 Case conversion may be inaccurate. Consider using '#align seminorm.ball_smul_ball Seminorm.ball_smul_ballₓ'. -/
 theorem ball_smul_ball (p : Seminorm 𝕜 E) (r₁ r₂ : ℝ) :
     Metric.ball (0 : 𝕜) r₁ • p.ball 0 r₂ ⊆ p.ball 0 (r₁ * r₂) :=
@@ -1438,10 +1314,7 @@ theorem ball_smul_ball (p : Seminorm 𝕜 E) (r₁ r₂ : ℝ) :
 #align seminorm.ball_smul_ball Seminorm.ball_smul_ball
 
 /- warning: seminorm.closed_ball_smul_closed_ball -> Seminorm.closedBall_smul_closedBall is a dubious translation:
-lean 3 declaration is
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(Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (r₁ : Real) (r₂ : Real), HasSubset.Subset.{u2} (Set.{u2} E) (Set.hasSubset.{u2} E) (SMul.smul.{u1, u2} (Set.{u1} 𝕜) (Set.{u2} E) (Set.smul.{u1, u2} 𝕜 E (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))))))))) r₁) (Seminorm.closedBall.{u1, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) p (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)))))))) r₂)) (Seminorm.closedBall.{u1, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) p (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)))))))) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) r₁ r₂))
-but is expected to have type
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(MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) (r₁ : Real) (r₂ : Real), HasSubset.Subset.{u1} (Set.{u1} E) (Set.instHasSubsetSet.{u1} E) (HSMul.hSMul.{u2, u1, u1} (Set.{u2} 𝕜) (Set.{u1} E) (Set.{u1} E) (instHSMul.{u2, u1} (Set.{u2} 𝕜) (Set.{u1} E) (Set.smul.{u2, u1} 𝕜 E (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))))) (Metric.closedBall.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 _inst_1) (OfNat.ofNat.{u2} 𝕜 0 (Zero.toOfNat0.{u2} 𝕜 (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))))) r₁) (Seminorm.closedBall.{u2, u1} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))) p (OfNat.ofNat.{u1} E 0 (Zero.toOfNat0.{u1} E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))))) r₂)) (Seminorm.closedBall.{u2, u1} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))) p (OfNat.ofNat.{u1} E 0 (Zero.toOfNat0.{u1} E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))))) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) r₁ r₂))
+<too large>
 Case conversion may be inaccurate. Consider using '#align seminorm.closed_ball_smul_closed_ball Seminorm.closedBall_smul_closedBallₓ'. -/
 theorem closedBall_smul_closedBall (p : Seminorm 𝕜 E) (r₁ r₂ : ℝ) :
     Metric.closedBall (0 : 𝕜) r₁ • p.closedBall 0 r₂ ⊆ p.closedBall 0 (r₁ * r₂) :=
@@ -1495,10 +1368,7 @@ variable [NormedField 𝕜] [AddCommGroup E] [Module 𝕜 E] (p : Seminorm 𝕜
   {r : ℝ} {x : E}
 
 /- warning: seminorm.ball_norm_mul_subset -> Seminorm.ball_norm_mul_subset is a dubious translation:
-lean 3 declaration is
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(NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))} {k : 𝕜} {r : Real}, HasSubset.Subset.{u2} (Set.{u2} E) (Set.hasSubset.{u2} E) (Seminorm.ball.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E 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(NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) p (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)))))))) r))
-but is expected to have type
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_inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))} {k : 𝕜} {r : Real}, HasSubset.Subset.{u1} (Set.{u1} E) (Set.instHasSubsetSet.{u1} E) (Seminorm.ball.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) _inst_2 (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))) p (OfNat.ofNat.{u1} E 0 (Zero.toOfNat0.{u1} E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))))) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (Norm.norm.{u2} 𝕜 (NormedField.toNorm.{u2} 𝕜 _inst_1) k) r)) (HSMul.hSMul.{u2, u1, u1} 𝕜 (Set.{u1} E) (Set.{u1} E) (instHSMul.{u2, u1} 𝕜 (Set.{u1} E) (Set.smulSet.{u2, u1} 𝕜 E (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))))) k (Seminorm.ball.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) _inst_2 (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))) p (OfNat.ofNat.{u1} E 0 (Zero.toOfNat0.{u1} E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))))) r))
+<too large>
 Case conversion may be inaccurate. Consider using '#align seminorm.ball_norm_mul_subset Seminorm.ball_norm_mul_subsetₓ'. -/
 theorem ball_norm_mul_subset {p : Seminorm 𝕜 E} {k : 𝕜} {r : ℝ} :
     p.ball 0 (‖k‖ * r) ⊆ k • p.ball 0 r :=
@@ -1517,10 +1387,7 @@ theorem ball_norm_mul_subset {p : Seminorm 𝕜 E} {k : 𝕜} {r : ℝ} :
 #align seminorm.ball_norm_mul_subset Seminorm.ball_norm_mul_subset
 
 /- warning: seminorm.smul_ball_zero -> Seminorm.smul_ball_zero is a dubious translation:
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(NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))} {k : 𝕜} {r : Real}, (Ne.{succ u1} 𝕜 k (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 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0} Real Real Real (instHMul.{0} Real Real.hasMul) (Norm.norm.{u1} 𝕜 (NormedField.toHasNorm.{u1} 𝕜 _inst_1) k) r)))
-but is expected to have type
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_inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))} {k : 𝕜} {r : Real}, (Ne.{succ u2} 𝕜 k (OfNat.ofNat.{u2} 𝕜 0 (Zero.toOfNat0.{u2} 𝕜 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(AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))) p (OfNat.ofNat.{u1} E 0 (Zero.toOfNat0.{u1} E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))))) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (Norm.norm.{u2} 𝕜 (NormedField.toNorm.{u2} 𝕜 _inst_1) k) r)))
+<too large>
 Case conversion may be inaccurate. Consider using '#align seminorm.smul_ball_zero Seminorm.smul_ball_zeroₓ'. -/
 theorem smul_ball_zero {p : Seminorm 𝕜 E} {k : 𝕜} {r : ℝ} (hk : k ≠ 0) :
     k • p.ball 0 r = p.ball 0 (‖k‖ * r) := by
@@ -1530,10 +1397,7 @@ theorem smul_ball_zero {p : Seminorm 𝕜 E} {k : 𝕜} {r : ℝ} (hk : k ≠ 0)
 #align seminorm.smul_ball_zero Seminorm.smul_ball_zero
 
 /- warning: seminorm.smul_closed_ball_subset -> Seminorm.smul_closedBall_subset is a dubious translation:
-lean 3 declaration is
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(NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))} {k : 𝕜} {r : Real}, HasSubset.Subset.{u2} (Set.{u2} E) (Set.hasSubset.{u2} E) (SMul.smul.{u1, u2} 𝕜 (Set.{u2} E) (Set.smulSet.{u1, u2} 𝕜 E (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) k (Seminorm.closedBall.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) p (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)))))))) r)) (Seminorm.closedBall.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) p (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)))))))) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) (Norm.norm.{u1} 𝕜 (NormedField.toHasNorm.{u1} 𝕜 _inst_1) k) r))
-but is expected to have type
-  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : NormedField.{u2} 𝕜] [_inst_2 : AddCommGroup.{u1} E] [_inst_3 : Module.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)] {p : Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))} {k : 𝕜} {r : Real}, HasSubset.Subset.{u1} (Set.{u1} E) (Set.instHasSubsetSet.{u1} E) (HSMul.hSMul.{u2, u1, u1} 𝕜 (Set.{u1} E) (Set.{u1} E) (instHSMul.{u2, u1} 𝕜 (Set.{u1} E) (Set.smulSet.{u2, u1} 𝕜 E (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))))) k (Seminorm.closedBall.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) _inst_2 (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))) p (OfNat.ofNat.{u1} E 0 (Zero.toOfNat0.{u1} E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))))) r)) (Seminorm.closedBall.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) _inst_2 (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))) p (OfNat.ofNat.{u1} E 0 (Zero.toOfNat0.{u1} E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))))) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (Norm.norm.{u2} 𝕜 (NormedField.toNorm.{u2} 𝕜 _inst_1) k) r))
+<too large>
 Case conversion may be inaccurate. Consider using '#align seminorm.smul_closed_ball_subset Seminorm.smul_closedBall_subsetₓ'. -/
 theorem smul_closedBall_subset {p : Seminorm 𝕜 E} {k : 𝕜} {r : ℝ} :
     k • p.closedBall 0 r ⊆ p.closedBall 0 (‖k‖ * r) :=
@@ -1545,10 +1409,7 @@ theorem smul_closedBall_subset {p : Seminorm 𝕜 E} {k : 𝕜} {r : ℝ} :
 #align seminorm.smul_closed_ball_subset Seminorm.smul_closedBall_subset
 
 /- warning: seminorm.smul_closed_ball_zero -> Seminorm.smul_closedBall_zero is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {p : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))} {k : 𝕜} {r : Real}, (LT.lt.{0} Real Real.hasLt (OfNat.ofNat.{0} Real 0 (OfNat.mk.{0} Real 0 (Zero.zero.{0} Real Real.hasZero))) (Norm.norm.{u1} 𝕜 (NormedField.toHasNorm.{u1} 𝕜 _inst_1) k)) -> (Eq.{succ u2} (Set.{u2} E) (SMul.smul.{u1, u2} 𝕜 (Set.{u2} E) (Set.smulSet.{u1, u2} 𝕜 E (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) k (Seminorm.closedBall.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) p (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)))))))) r)) (Seminorm.closedBall.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) p (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)))))))) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) (Norm.norm.{u1} 𝕜 (NormedField.toHasNorm.{u1} 𝕜 _inst_1) k) r)))
-but is expected to have type
-  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : NormedField.{u2} 𝕜] [_inst_2 : AddCommGroup.{u1} E] [_inst_3 : Module.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)] {p : Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))} {k : 𝕜} {r : Real}, (LT.lt.{0} Real Real.instLTReal (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) (Norm.norm.{u2} 𝕜 (NormedField.toNorm.{u2} 𝕜 _inst_1) k)) -> (Eq.{succ u1} (Set.{u1} E) (HSMul.hSMul.{u2, u1, u1} 𝕜 (Set.{u1} E) (Set.{u1} E) (instHSMul.{u2, u1} 𝕜 (Set.{u1} E) (Set.smulSet.{u2, u1} 𝕜 E (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))))) k (Seminorm.closedBall.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) _inst_2 (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))) p (OfNat.ofNat.{u1} E 0 (Zero.toOfNat0.{u1} E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))))) r)) (Seminorm.closedBall.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) _inst_2 (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))) p (OfNat.ofNat.{u1} E 0 (Zero.toOfNat0.{u1} E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))))) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (Norm.norm.{u2} 𝕜 (NormedField.toNorm.{u2} 𝕜 _inst_1) k) r)))
+<too large>
 Case conversion may be inaccurate. Consider using '#align seminorm.smul_closed_ball_zero Seminorm.smul_closedBall_zeroₓ'. -/
 theorem smul_closedBall_zero {p : Seminorm 𝕜 E} {k : 𝕜} {r : ℝ} (hk : 0 < ‖k‖) :
     k • p.closedBall 0 r = p.closedBall 0 (‖k‖ * r) :=
@@ -1564,10 +1425,7 @@ theorem smul_closedBall_zero {p : Seminorm 𝕜 E} {k : 𝕜} {r : ℝ} (hk : 0
 #align seminorm.smul_closed_ball_zero Seminorm.smul_closedBall_zero
 
 /- warning: seminorm.ball_zero_absorbs_ball_zero -> Seminorm.ball_zero_absorbs_ball_zero is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (p : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) {r₁ : Real} {r₂ : Real}, (LT.lt.{0} Real Real.hasLt (OfNat.ofNat.{0} Real 0 (OfNat.mk.{0} Real 0 (Zero.zero.{0} Real Real.hasZero))) r₁) -> (Absorbs.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Seminorm.ball.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) p (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)))))))) r₁) (Seminorm.ball.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) p (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)))))))) r₂))
-but is expected to have type
-  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : NormedField.{u2} 𝕜] [_inst_2 : AddCommGroup.{u1} E] [_inst_3 : Module.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)] (p : Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) {r₁ : Real} {r₂ : Real}, (LT.lt.{0} Real Real.instLTReal (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) r₁) -> (Absorbs.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))) (Seminorm.ball.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) _inst_2 (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))) p (OfNat.ofNat.{u1} E 0 (Zero.toOfNat0.{u1} E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))))) r₁) (Seminorm.ball.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) _inst_2 (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))) p (OfNat.ofNat.{u1} E 0 (Zero.toOfNat0.{u1} E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))))) r₂))
+<too large>
 Case conversion may be inaccurate. Consider using '#align seminorm.ball_zero_absorbs_ball_zero Seminorm.ball_zero_absorbs_ball_zeroₓ'. -/
 theorem ball_zero_absorbs_ball_zero (p : Seminorm 𝕜 E) {r₁ r₂ : ℝ} (hr₁ : 0 < r₁) :
     Absorbs 𝕜 (p.ball 0 r₁) (p.ball 0 r₂) :=
@@ -1580,10 +1438,7 @@ theorem ball_zero_absorbs_ball_zero (p : Seminorm 𝕜 E) {r₁ r₂ : ℝ} (hr
 #align seminorm.ball_zero_absorbs_ball_zero Seminorm.ball_zero_absorbs_ball_zero
 
 /- warning: seminorm.absorbent_ball_zero -> Seminorm.absorbent_ball_zero is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (p : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) {r : Real}, (LT.lt.{0} Real Real.hasLt (OfNat.ofNat.{0} Real 0 (OfNat.mk.{0} Real 0 (Zero.zero.{0} Real Real.hasZero))) r) -> (Absorbent.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Seminorm.ball.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) p (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)))))))) r))
-but is expected to have type
-  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : NormedField.{u2} 𝕜] [_inst_2 : AddCommGroup.{u1} E] [_inst_3 : Module.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)] (p : Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) {r : Real}, (LT.lt.{0} Real Real.instLTReal (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) r) -> (Absorbent.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))) (Seminorm.ball.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) _inst_2 (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))) p (OfNat.ofNat.{u1} E 0 (Zero.toOfNat0.{u1} E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))))) r))
+<too large>
 Case conversion may be inaccurate. Consider using '#align seminorm.absorbent_ball_zero Seminorm.absorbent_ball_zeroₓ'. -/
 /-- Seminorm-balls at the origin are absorbent. -/
 protected theorem absorbent_ball_zero (hr : 0 < r) : Absorbent 𝕜 (ball p (0 : E) r) :=
@@ -1593,10 +1448,7 @@ protected theorem absorbent_ball_zero (hr : 0 < r) : Absorbent 𝕜 (ball p (0 :
 #align seminorm.absorbent_ball_zero Seminorm.absorbent_ball_zero
 
 /- warning: seminorm.absorbent_closed_ball_zero -> Seminorm.absorbent_closedBall_zero is a dubious translation:
-lean 3 declaration is
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-but is expected to have type
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_inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) {r : Real}, (LT.lt.{0} Real Real.instLTReal (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) r) -> (Absorbent.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))) (Seminorm.closedBall.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) _inst_2 (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))) p (OfNat.ofNat.{u1} E 0 (Zero.toOfNat0.{u1} E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))))) r))
+<too large>
 Case conversion may be inaccurate. Consider using '#align seminorm.absorbent_closed_ball_zero Seminorm.absorbent_closedBall_zeroₓ'. -/
 /-- Closed seminorm-balls at the origin are absorbent. -/
 protected theorem absorbent_closedBall_zero (hr : 0 < r) : Absorbent 𝕜 (closedBall p (0 : E) r) :=
@@ -1604,10 +1456,7 @@ protected theorem absorbent_closedBall_zero (hr : 0 < r) : Absorbent 𝕜 (close
 #align seminorm.absorbent_closed_ball_zero Seminorm.absorbent_closedBall_zero
 
 /- warning: seminorm.absorbent_ball -> Seminorm.absorbent_ball is a dubious translation:
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(NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (fun (_x : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) p x) r) -> (Absorbent.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Seminorm.ball.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) p x r))
-but is expected to have type
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (p : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) {r : Real} {x : E}, (LT.lt.{0} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) x) Real.instLTReal (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Seminorm.instSeminormClass.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))))) p x) r) -> (Absorbent.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Seminorm.ball.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) _inst_2 (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) p x r))
+<too large>
 Case conversion may be inaccurate. Consider using '#align seminorm.absorbent_ball Seminorm.absorbent_ballₓ'. -/
 /-- Seminorm-balls containing the origin are absorbent. -/
 protected theorem absorbent_ball (hpr : p x < r) : Absorbent 𝕜 (ball p x r) :=
@@ -1618,10 +1467,7 @@ protected theorem absorbent_ball (hpr : p x < r) : Absorbent 𝕜 (ball p x r) :
 #align seminorm.absorbent_ball Seminorm.absorbent_ball
 
 /- warning: seminorm.absorbent_closed_ball -> Seminorm.absorbent_closedBall is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (p : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) {r : Real} {x : E}, (LT.lt.{0} Real Real.hasLt (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (fun (_x : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) p x) r) -> (Absorbent.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Seminorm.closedBall.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) p x r))
-but is expected to have type
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (p : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) {r : Real} {x : E}, (LT.lt.{0} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) x) Real.instLTReal (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Seminorm.instSeminormClass.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))))) p x) r) -> (Absorbent.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Seminorm.closedBall.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) _inst_2 (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) p x r))
+<too large>
 Case conversion may be inaccurate. Consider using '#align seminorm.absorbent_closed_ball Seminorm.absorbent_closedBallₓ'. -/
 /-- Seminorm-balls containing the origin are absorbent. -/
 protected theorem absorbent_closedBall (hpr : p x < r) : Absorbent 𝕜 (closedBall p x r) :=
@@ -1632,20 +1478,14 @@ protected theorem absorbent_closedBall (hpr : p x < r) : Absorbent 𝕜 (closedB
 #align seminorm.absorbent_closed_ball Seminorm.absorbent_closedBall
 
 /- warning: seminorm.symmetric_ball_zero -> Seminorm.symmetric_ball_zero is a dubious translation:
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(AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))))) r))
+<too large>
 Case conversion may be inaccurate. Consider using '#align seminorm.symmetric_ball_zero Seminorm.symmetric_ball_zeroₓ'. -/
 theorem symmetric_ball_zero (r : ℝ) (hx : x ∈ ball p 0 r) : -x ∈ ball p 0 r :=
   balanced_ball_zero p r (-1) (by rw [norm_neg, norm_one]) ⟨x, hx, by rw [neg_smul, one_smul]⟩
 #align seminorm.symmetric_ball_zero Seminorm.symmetric_ball_zero
 
 /- warning: seminorm.neg_ball -> Seminorm.neg_ball is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align seminorm.neg_ball Seminorm.neg_ballₓ'. -/
 @[simp]
 theorem neg_ball (p : Seminorm 𝕜 E) (r : ℝ) (x : E) : -ball p x r = ball p (-x) r :=
@@ -1655,10 +1495,7 @@ theorem neg_ball (p : Seminorm 𝕜 E) (r : ℝ) (x : E) : -ball p x r = ball p
 #align seminorm.neg_ball Seminorm.neg_ball
 
 /- warning: seminorm.smul_ball_preimage -> Seminorm.smul_ball_preimage is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (p : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (y : E) (r : Real) (a : 𝕜), (Ne.{succ u1} 𝕜 a (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))))))) -> (Eq.{succ u2} (Set.{u2} E) (Set.preimage.{u2, u2} E E (SMul.smul.{u1, u2} 𝕜 E (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) a) (Seminorm.ball.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E 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(AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) p y r)) (Seminorm.ball.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) p (SMul.smul.{u1, u2} 𝕜 E (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Inv.inv.{u1} 𝕜 (DivInvMonoid.toHasInv.{u1} 𝕜 (DivisionRing.toDivInvMonoid.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 (NormedField.toNormedDivisionRing.{u1} 𝕜 _inst_1)))) a) y) (HDiv.hDiv.{0, 0, 0} Real Real Real (instHDiv.{0} Real (DivInvMonoid.toHasDiv.{0} Real (DivisionRing.toDivInvMonoid.{0} Real Real.divisionRing))) r (Norm.norm.{u1} 𝕜 (NormedField.toHasNorm.{u1} 𝕜 _inst_1) a))))
-but is expected to have type
-  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : NormedField.{u2} 𝕜] [_inst_2 : AddCommGroup.{u1} E] [_inst_3 : Module.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)] (p : Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) (y : E) (r : Real) (a : 𝕜), (Ne.{succ u2} 𝕜 a (OfNat.ofNat.{u2} 𝕜 0 (Zero.toOfNat0.{u2} 𝕜 (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))))))) -> (Eq.{succ u1} (Set.{u1} E) (Set.preimage.{u1, u1} E E ((fun (x._@.Mathlib.Analysis.Seminorm._hyg.15296 : 𝕜) (x._@.Mathlib.Analysis.Seminorm._hyg.15298 : E) => HSMul.hSMul.{u2, u1, u1} 𝕜 E E (instHSMul.{u2, u1} 𝕜 E (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) x._@.Mathlib.Analysis.Seminorm._hyg.15296 x._@.Mathlib.Analysis.Seminorm._hyg.15298) a) (Seminorm.ball.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) _inst_2 (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))) p y r)) (Seminorm.ball.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) _inst_2 (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))) p (HSMul.hSMul.{u2, u1, u1} 𝕜 E E (instHSMul.{u2, u1} 𝕜 E (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) (Inv.inv.{u2} 𝕜 (Field.toInv.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)) a) y) (HDiv.hDiv.{0, 0, 0} Real Real Real (instHDiv.{0} Real (LinearOrderedField.toDiv.{0} Real Real.instLinearOrderedFieldReal)) r (Norm.norm.{u2} 𝕜 (NormedField.toNorm.{u2} 𝕜 _inst_1) a))))
+<too large>
 Case conversion may be inaccurate. Consider using '#align seminorm.smul_ball_preimage Seminorm.smul_ball_preimageₓ'. -/
 @[simp]
 theorem smul_ball_preimage (p : Seminorm 𝕜 E) (y : E) (r : ℝ) (a : 𝕜) (ha : a ≠ 0) :
@@ -1679,10 +1516,7 @@ section SMul
 variable [SMul ℝ E] [IsScalarTower ℝ 𝕜 E] (p : Seminorm 𝕜 E)
 
 /- warning: seminorm.convex_on -> Seminorm.convexOn is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : NormedSpace.{0, u1} Real 𝕜 Real.normedField (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))] [_inst_4 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] [_inst_5 : SMul.{0, u2} Real E] [_inst_6 : IsScalarTower.{0, u1, u2} Real 𝕜 E (SMulZeroClass.toHasSmul.{0, u1} Real 𝕜 (AddZeroClass.toHasZero.{u1} 𝕜 (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddCommMonoid.toAddMonoid.{u1} 𝕜 (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))))) (SMulWithZero.toSmulZeroClass.{0, u1} Real 𝕜 (MulZeroClass.toHasZero.{0} Real (MulZeroOneClass.toMulZeroClass.{0} Real (MonoidWithZero.toMulZeroOneClass.{0} Real (Semiring.toMonoidWithZero.{0} Real (Ring.toSemiring.{0} Real (NormedRing.toRing.{0} Real (NormedCommRing.toNormedRing.{0} Real (NormedField.toNormedCommRing.{0} Real Real.normedField)))))))) (AddZeroClass.toHasZero.{u1} 𝕜 (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddCommMonoid.toAddMonoid.{u1} 𝕜 (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))))) (MulActionWithZero.toSMulWithZero.{0, u1} Real 𝕜 (Semiring.toMonoidWithZero.{0} Real (Ring.toSemiring.{0} Real (NormedRing.toRing.{0} Real (NormedCommRing.toNormedRing.{0} Real (NormedField.toNormedCommRing.{0} Real Real.normedField))))) (AddZeroClass.toHasZero.{u1} 𝕜 (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddCommMonoid.toAddMonoid.{u1} 𝕜 (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))))) (Module.toMulActionWithZero.{0, u1} Real 𝕜 (Ring.toSemiring.{0} Real (NormedRing.toRing.{0} Real (NormedCommRing.toNormedRing.{0} Real (NormedField.toNormedCommRing.{0} Real Real.normedField)))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))))) (NormedSpace.toModule.{0, u1} Real 𝕜 Real.normedField (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) _inst_3))))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_4)))) _inst_5] (p : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_4))))), ConvexOn.{0, u2, 0} Real E Real Real.orderedSemiring (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) Real.orderedAddCommMonoid _inst_5 (Mul.toSMul.{0} Real Real.hasMul) (Set.univ.{u2} E) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_4))))) (fun (_x : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_4))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_4))))) p)
-but is expected to have type
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : NormedSpace.{0, u1} Real 𝕜 Real.normedField (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))] [_inst_4 : Module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] [_inst_5 : SMul.{0, u2} Real E] [_inst_6 : IsScalarTower.{0, u1, u2} Real 𝕜 E (SMulZeroClass.toSMul.{0, u1} Real 𝕜 (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (SMulWithZero.toSMulZeroClass.{0, u1} Real 𝕜 Real.instZeroReal (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (MulActionWithZero.toSMulWithZero.{0, u1} Real 𝕜 Real.instMonoidWithZeroReal (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (Module.toMulActionWithZero.{0, u1} Real 𝕜 Real.semiring (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))))) (NormedSpace.toModule.{0, u1} Real 𝕜 Real.normedField (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) _inst_3))))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_4)))) _inst_5] (p : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_4))))), ConvexOn.{0, u2, 0} Real E Real Real.orderedSemiring (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) Real.orderedAddCommMonoid _inst_5 (Algebra.toSMul.{0, 0} Real Real Real.instCommSemiringReal Real.semiring (NormedAlgebra.toAlgebra.{0, 0} Real Real Real.normedField (SeminormedCommRing.toSeminormedRing.{0} Real (NormedCommRing.toSeminormedCommRing.{0} Real Real.normedCommRing)) (NormedAlgebra.id.{0} Real Real.normedField))) (Set.univ.{u2} E) (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_4))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_4))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_4))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_4))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_4)))) (Seminorm.instSeminormClass.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_4)))))))) p)
+<too large>
 Case conversion may be inaccurate. Consider using '#align seminorm.convex_on Seminorm.convexOnₓ'. -/
 /-- A seminorm is convex. Also see `convex_on_norm`. -/
 protected theorem convexOn : ConvexOn ℝ univ p :=
@@ -1747,10 +1581,7 @@ protected def restrictScalars (p : Seminorm 𝕜' E) : Seminorm 𝕜 E :=
 #align seminorm.restrict_scalars Seminorm.restrictScalars
 
 /- warning: seminorm.coe_restrict_scalars -> Seminorm.coe_restrictScalars is a dubious translation:
-lean 3 declaration is
-  forall (𝕜 : Type.{u1}) {E : Type.{u2}} {𝕜' : Type.{u3}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : SeminormedRing.{u3} 𝕜'] [_inst_3 : NormedAlgebra.{u1, u3} 𝕜 𝕜' _inst_1 _inst_2] [_inst_4 : NormOneClass.{u3} 𝕜' (SeminormedRing.toHasNorm.{u3} 𝕜' _inst_2) (AddMonoidWithOne.toOne.{u3} 𝕜' (AddGroupWithOne.toAddMonoidWithOne.{u3} 𝕜' (AddCommGroupWithOne.toAddGroupWithOne.{u3} 𝕜' (Ring.toAddCommGroupWithOne.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))))] [_inst_5 : AddCommGroup.{u2} E] [_inst_6 : Module.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)] [_inst_7 : SMul.{u1, u2} 𝕜 E] [_inst_8 : IsScalarTower.{u1, u3, u2} 𝕜 𝕜' E (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 𝕜' (AddZeroClass.toHasZero.{u3} 𝕜' (AddMonoid.toAddZeroClass.{u3} 𝕜' (AddCommMonoid.toAddMonoid.{u3} 𝕜' (AddCommGroup.toAddCommMonoid.{u3} 𝕜' (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜' (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜' (SeminormedRing.toNonUnitalSeminormedRing.{u3} 𝕜' _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 𝕜' (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u3} 𝕜' (AddMonoid.toAddZeroClass.{u3} 𝕜' (AddCommMonoid.toAddMonoid.{u3} 𝕜' (AddCommGroup.toAddCommMonoid.{u3} 𝕜' (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜' (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜' (SeminormedRing.toNonUnitalSeminormedRing.{u3} 𝕜' _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 𝕜' (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u3} 𝕜' (AddMonoid.toAddZeroClass.{u3} 𝕜' (AddCommMonoid.toAddMonoid.{u3} 𝕜' (AddCommGroup.toAddCommMonoid.{u3} 𝕜' (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜' (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜' (SeminormedRing.toNonUnitalSeminormedRing.{u3} 𝕜' _inst_2))))))) (Module.toMulActionWithZero.{u1, u3} 𝕜 𝕜' (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u3} 𝕜' (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜' (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜' (SeminormedRing.toNonUnitalSeminormedRing.{u3} 𝕜' _inst_2)))) (NormedSpace.toModule.{u1, u3} 𝕜 𝕜' _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜' (SeminormedRing.toNonUnitalSeminormedRing.{u3} 𝕜' _inst_2)) (NormedAlgebra.toNormedSpace.{u1, u3} 𝕜 𝕜' _inst_1 _inst_2 _inst_3)))))) (SMulZeroClass.toHasSmul.{u3, u2} 𝕜' E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)))) (SMulWithZero.toSmulZeroClass.{u3, u2} 𝕜' E (MulZeroClass.toHasZero.{u3} 𝕜' (MulZeroOneClass.toMulZeroClass.{u3} 𝕜' (MonoidWithZero.toMulZeroOneClass.{u3} 𝕜' (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜' E (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)))) (Module.toMulActionWithZero.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5) _inst_6)))) _inst_7] (p : Seminorm.{u3, u2} 𝕜' E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_5) (SMulZeroClass.toHasSmul.{u3, u2} 𝕜' E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)))) (SMulWithZero.toSmulZeroClass.{u3, u2} 𝕜' E (MulZeroClass.toHasZero.{u3} 𝕜' (MulZeroOneClass.toMulZeroClass.{u3} 𝕜' (MonoidWithZero.toMulZeroOneClass.{u3} 𝕜' (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜' E (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)))) (Module.toMulActionWithZero.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5) _inst_6))))), Eq.{succ u2} ((fun (_x : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_5) _inst_7) => E -> Real) (Seminorm.restrictScalars.{u1, u2, u3} 𝕜 E 𝕜' _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 p)) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_5) _inst_7) (fun (_x : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_5) _inst_7) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_5) _inst_7) (Seminorm.restrictScalars.{u1, u2, u3} 𝕜 E 𝕜' _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 p)) (coeFn.{succ u2, succ u2} (Seminorm.{u3, u2} 𝕜' E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_5) (SMulZeroClass.toHasSmul.{u3, u2} 𝕜' E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)))) (SMulWithZero.toSmulZeroClass.{u3, u2} 𝕜' E (MulZeroClass.toHasZero.{u3} 𝕜' (MulZeroOneClass.toMulZeroClass.{u3} 𝕜' (MonoidWithZero.toMulZeroOneClass.{u3} 𝕜' (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜' E (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)))) (Module.toMulActionWithZero.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5) _inst_6))))) (fun (_x : Seminorm.{u3, u2} 𝕜' E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_5) (SMulZeroClass.toHasSmul.{u3, u2} 𝕜' E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)))) (SMulWithZero.toSmulZeroClass.{u3, u2} 𝕜' E (MulZeroClass.toHasZero.{u3} 𝕜' (MulZeroOneClass.toMulZeroClass.{u3} 𝕜' (MonoidWithZero.toMulZeroOneClass.{u3} 𝕜' (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜' E (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)))) (Module.toMulActionWithZero.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5) _inst_6))))) => E -> Real) (Seminorm.hasCoeToFun.{u3, u2} 𝕜' E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_5) (SMulZeroClass.toHasSmul.{u3, u2} 𝕜' E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)))) (SMulWithZero.toSmulZeroClass.{u3, u2} 𝕜' E (MulZeroClass.toHasZero.{u3} 𝕜' (MulZeroOneClass.toMulZeroClass.{u3} 𝕜' (MonoidWithZero.toMulZeroOneClass.{u3} 𝕜' (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜' E (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)))) (Module.toMulActionWithZero.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5) _inst_6))))) p)
-but is expected to have type
-  forall (𝕜 : Type.{u1}) {E : Type.{u2}} {𝕜' : Type.{u3}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : SeminormedRing.{u3} 𝕜'] [_inst_3 : NormedAlgebra.{u1, u3} 𝕜 𝕜' _inst_1 _inst_2] [_inst_4 : NormOneClass.{u3} 𝕜' (SeminormedRing.toNorm.{u3} 𝕜' _inst_2) (Semiring.toOne.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))] [_inst_5 : AddCommGroup.{u2} E] [_inst_6 : Module.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)] [_inst_7 : SMul.{u1, u2} 𝕜 E] [_inst_8 : IsScalarTower.{u1, u3, u2} 𝕜 𝕜' E (Algebra.toSMul.{u1, u3} 𝕜 𝕜' (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))) (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (NormedAlgebra.toAlgebra.{u1, u3} 𝕜 𝕜' _inst_1 _inst_2 _inst_3)) (SMulZeroClass.toSMul.{u3, u2} 𝕜' E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜' E (MonoidWithZero.toZero.{u3} 𝕜' (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜' E (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (Module.toMulActionWithZero.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5) _inst_6)))) _inst_7] (p : Seminorm.{u3, u2} 𝕜' E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_5) (SMulZeroClass.toSMul.{u3, u2} 𝕜' E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜' E (MonoidWithZero.toZero.{u3} 𝕜' (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜' E (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (Module.toMulActionWithZero.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5) _inst_6))))), Eq.{succ u2} (forall (a : E), (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) a) (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_5) _inst_7) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_5) _inst_7) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_5))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_5) _inst_7) E Real (AddCommGroup.toAddGroup.{u2} E _inst_5) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_5) _inst_7) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_5) _inst_7 (Seminorm.instSeminormClass.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_5) _inst_7)))) (Seminorm.restrictScalars.{u1, u2, u3} 𝕜 E 𝕜' _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 p)) (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u3, u2} 𝕜' E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_5) (SMulZeroClass.toSMul.{u3, u2} 𝕜' E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜' E (MonoidWithZero.toZero.{u3} 𝕜' (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜' E (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (Module.toMulActionWithZero.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5) _inst_6))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u3, u2} 𝕜' E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_5) (SMulZeroClass.toSMul.{u3, u2} 𝕜' E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜' E (MonoidWithZero.toZero.{u3} 𝕜' (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜' E (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (Module.toMulActionWithZero.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5) _inst_6))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_5))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u3, u2} 𝕜' E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_5) (SMulZeroClass.toSMul.{u3, u2} 𝕜' E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜' E (MonoidWithZero.toZero.{u3} 𝕜' (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜' E (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (Module.toMulActionWithZero.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5) _inst_6))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_5) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u3, u2} (Seminorm.{u3, u2} 𝕜' E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_5) (SMulZeroClass.toSMul.{u3, u2} 𝕜' E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜' E (MonoidWithZero.toZero.{u3} 𝕜' (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜' E (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (Module.toMulActionWithZero.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5) _inst_6))))) 𝕜' E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_5) (SMulZeroClass.toSMul.{u3, u2} 𝕜' E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜' E (MonoidWithZero.toZero.{u3} 𝕜' (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜' E (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (Module.toMulActionWithZero.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5) _inst_6)))) (Seminorm.instSeminormClass.{u3, u2} 𝕜' E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_5) (SMulZeroClass.toSMul.{u3, u2} 𝕜' E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜' E (MonoidWithZero.toZero.{u3} 𝕜' (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜' E (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (Module.toMulActionWithZero.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5) _inst_6)))))))) p)
+<too large>
 Case conversion may be inaccurate. Consider using '#align seminorm.coe_restrict_scalars Seminorm.coe_restrictScalarsₓ'. -/
 @[simp]
 theorem coe_restrictScalars (p : Seminorm 𝕜' E) : (p.restrictScalars 𝕜 : E → ℝ) = p :=
@@ -1758,10 +1589,7 @@ theorem coe_restrictScalars (p : Seminorm 𝕜' E) : (p.restrictScalars 𝕜 : E
 #align seminorm.coe_restrict_scalars Seminorm.coe_restrictScalars
 
 /- warning: seminorm.restrict_scalars_ball -> Seminorm.restrictScalars_ball is a dubious translation:
-lean 3 declaration is
-  forall (𝕜 : Type.{u1}) {E : Type.{u2}} {𝕜' : Type.{u3}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : SeminormedRing.{u3} 𝕜'] [_inst_3 : NormedAlgebra.{u1, u3} 𝕜 𝕜' _inst_1 _inst_2] [_inst_4 : NormOneClass.{u3} 𝕜' (SeminormedRing.toHasNorm.{u3} 𝕜' _inst_2) (AddMonoidWithOne.toOne.{u3} 𝕜' (AddGroupWithOne.toAddMonoidWithOne.{u3} 𝕜' (AddCommGroupWithOne.toAddGroupWithOne.{u3} 𝕜' (Ring.toAddCommGroupWithOne.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))))] [_inst_5 : AddCommGroup.{u2} E] [_inst_6 : Module.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)] [_inst_7 : SMul.{u1, u2} 𝕜 E] [_inst_8 : IsScalarTower.{u1, u3, u2} 𝕜 𝕜' E (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 𝕜' (AddZeroClass.toHasZero.{u3} 𝕜' (AddMonoid.toAddZeroClass.{u3} 𝕜' (AddCommMonoid.toAddMonoid.{u3} 𝕜' (AddCommGroup.toAddCommMonoid.{u3} 𝕜' (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜' (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜' (SeminormedRing.toNonUnitalSeminormedRing.{u3} 𝕜' _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 𝕜' (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u3} 𝕜' (AddMonoid.toAddZeroClass.{u3} 𝕜' (AddCommMonoid.toAddMonoid.{u3} 𝕜' (AddCommGroup.toAddCommMonoid.{u3} 𝕜' (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜' (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜' (SeminormedRing.toNonUnitalSeminormedRing.{u3} 𝕜' _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 𝕜' (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u3} 𝕜' (AddMonoid.toAddZeroClass.{u3} 𝕜' (AddCommMonoid.toAddMonoid.{u3} 𝕜' (AddCommGroup.toAddCommMonoid.{u3} 𝕜' (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜' (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜' (SeminormedRing.toNonUnitalSeminormedRing.{u3} 𝕜' _inst_2))))))) (Module.toMulActionWithZero.{u1, u3} 𝕜 𝕜' (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u3} 𝕜' (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜' (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜' (SeminormedRing.toNonUnitalSeminormedRing.{u3} 𝕜' _inst_2)))) (NormedSpace.toModule.{u1, u3} 𝕜 𝕜' _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜' (SeminormedRing.toNonUnitalSeminormedRing.{u3} 𝕜' _inst_2)) (NormedAlgebra.toNormedSpace.{u1, u3} 𝕜 𝕜' _inst_1 _inst_2 _inst_3)))))) (SMulZeroClass.toHasSmul.{u3, u2} 𝕜' E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)))) (SMulWithZero.toSmulZeroClass.{u3, u2} 𝕜' E (MulZeroClass.toHasZero.{u3} 𝕜' (MulZeroOneClass.toMulZeroClass.{u3} 𝕜' (MonoidWithZero.toMulZeroOneClass.{u3} 𝕜' (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜' E (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)))) (Module.toMulActionWithZero.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5) _inst_6)))) _inst_7] (p : Seminorm.{u3, u2} 𝕜' E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_5) (SMulZeroClass.toHasSmul.{u3, u2} 𝕜' E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)))) (SMulWithZero.toSmulZeroClass.{u3, u2} 𝕜' E (MulZeroClass.toHasZero.{u3} 𝕜' (MulZeroOneClass.toMulZeroClass.{u3} 𝕜' (MonoidWithZero.toMulZeroOneClass.{u3} 𝕜' (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜' E (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)))) (Module.toMulActionWithZero.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5) _inst_6))))), Eq.{succ u2} (E -> Real -> (Set.{u2} E)) (Seminorm.ball.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) _inst_5 _inst_7 (Seminorm.restrictScalars.{u1, u2, u3} 𝕜 E 𝕜' _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 p)) (Seminorm.ball.{u3, u2} 𝕜' E _inst_2 _inst_5 (SMulZeroClass.toHasSmul.{u3, u2} 𝕜' E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)))) (SMulWithZero.toSmulZeroClass.{u3, u2} 𝕜' E (MulZeroClass.toHasZero.{u3} 𝕜' (MulZeroOneClass.toMulZeroClass.{u3} 𝕜' (MonoidWithZero.toMulZeroOneClass.{u3} 𝕜' (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜' E (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)))) (Module.toMulActionWithZero.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5) _inst_6)))) p)
-but is expected to have type
-  forall (𝕜 : Type.{u1}) {E : Type.{u2}} {𝕜' : Type.{u3}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : SeminormedRing.{u3} 𝕜'] [_inst_3 : NormedAlgebra.{u1, u3} 𝕜 𝕜' _inst_1 _inst_2] [_inst_4 : NormOneClass.{u3} 𝕜' (SeminormedRing.toNorm.{u3} 𝕜' _inst_2) (Semiring.toOne.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))] [_inst_5 : AddCommGroup.{u2} E] [_inst_6 : Module.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)] [_inst_7 : SMul.{u1, u2} 𝕜 E] [_inst_8 : IsScalarTower.{u1, u3, u2} 𝕜 𝕜' E (Algebra.toSMul.{u1, u3} 𝕜 𝕜' (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))) (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (NormedAlgebra.toAlgebra.{u1, u3} 𝕜 𝕜' _inst_1 _inst_2 _inst_3)) (SMulZeroClass.toSMul.{u3, u2} 𝕜' E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜' E (MonoidWithZero.toZero.{u3} 𝕜' (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜' E (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (Module.toMulActionWithZero.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5) _inst_6)))) _inst_7] (p : Seminorm.{u3, u2} 𝕜' E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_5) (SMulZeroClass.toSMul.{u3, u2} 𝕜' E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜' E (MonoidWithZero.toZero.{u3} 𝕜' (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜' E (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (Module.toMulActionWithZero.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5) _inst_6))))), Eq.{succ u2} (E -> Real -> (Set.{u2} E)) (Seminorm.ball.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) _inst_5 _inst_7 (Seminorm.restrictScalars.{u1, u2, u3} 𝕜 E 𝕜' _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 p)) (Seminorm.ball.{u3, u2} 𝕜' E _inst_2 _inst_5 (SMulZeroClass.toSMul.{u3, u2} 𝕜' E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜' E (MonoidWithZero.toZero.{u3} 𝕜' (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜' E (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (Module.toMulActionWithZero.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5) _inst_6)))) p)
+<too large>
 Case conversion may be inaccurate. Consider using '#align seminorm.restrict_scalars_ball Seminorm.restrictScalars_ballₓ'. -/
 @[simp]
 theorem restrictScalars_ball (p : Seminorm 𝕜' E) : (p.restrictScalars 𝕜).ball = p.ball :=
@@ -1769,10 +1597,7 @@ theorem restrictScalars_ball (p : Seminorm 𝕜' E) : (p.restrictScalars 𝕜).b
 #align seminorm.restrict_scalars_ball Seminorm.restrictScalars_ball
 
 /- warning: seminorm.restrict_scalars_closed_ball -> Seminorm.restrictScalars_closedBall is a dubious translation:
-lean 3 declaration is
-  forall (𝕜 : Type.{u1}) {E : Type.{u2}} {𝕜' : Type.{u3}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : SeminormedRing.{u3} 𝕜'] [_inst_3 : NormedAlgebra.{u1, u3} 𝕜 𝕜' _inst_1 _inst_2] [_inst_4 : NormOneClass.{u3} 𝕜' (SeminormedRing.toHasNorm.{u3} 𝕜' _inst_2) (AddMonoidWithOne.toOne.{u3} 𝕜' (AddGroupWithOne.toAddMonoidWithOne.{u3} 𝕜' (AddCommGroupWithOne.toAddGroupWithOne.{u3} 𝕜' (Ring.toAddCommGroupWithOne.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))))] [_inst_5 : AddCommGroup.{u2} E] [_inst_6 : Module.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)] [_inst_7 : SMul.{u1, u2} 𝕜 E] [_inst_8 : IsScalarTower.{u1, u3, u2} 𝕜 𝕜' E (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 𝕜' (AddZeroClass.toHasZero.{u3} 𝕜' (AddMonoid.toAddZeroClass.{u3} 𝕜' (AddCommMonoid.toAddMonoid.{u3} 𝕜' (AddCommGroup.toAddCommMonoid.{u3} 𝕜' (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜' (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜' (SeminormedRing.toNonUnitalSeminormedRing.{u3} 𝕜' _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 𝕜' (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u3} 𝕜' (AddMonoid.toAddZeroClass.{u3} 𝕜' (AddCommMonoid.toAddMonoid.{u3} 𝕜' (AddCommGroup.toAddCommMonoid.{u3} 𝕜' (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜' (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜' (SeminormedRing.toNonUnitalSeminormedRing.{u3} 𝕜' _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 𝕜' (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u3} 𝕜' (AddMonoid.toAddZeroClass.{u3} 𝕜' (AddCommMonoid.toAddMonoid.{u3} 𝕜' (AddCommGroup.toAddCommMonoid.{u3} 𝕜' (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜' (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜' (SeminormedRing.toNonUnitalSeminormedRing.{u3} 𝕜' _inst_2))))))) (Module.toMulActionWithZero.{u1, u3} 𝕜 𝕜' (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u3} 𝕜' (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜' (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜' (SeminormedRing.toNonUnitalSeminormedRing.{u3} 𝕜' _inst_2)))) (NormedSpace.toModule.{u1, u3} 𝕜 𝕜' _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜' (SeminormedRing.toNonUnitalSeminormedRing.{u3} 𝕜' _inst_2)) (NormedAlgebra.toNormedSpace.{u1, u3} 𝕜 𝕜' _inst_1 _inst_2 _inst_3)))))) (SMulZeroClass.toHasSmul.{u3, u2} 𝕜' E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)))) (SMulWithZero.toSmulZeroClass.{u3, u2} 𝕜' E (MulZeroClass.toHasZero.{u3} 𝕜' (MulZeroOneClass.toMulZeroClass.{u3} 𝕜' (MonoidWithZero.toMulZeroOneClass.{u3} 𝕜' (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜' E (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)))) (Module.toMulActionWithZero.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5) _inst_6)))) _inst_7] (p : Seminorm.{u3, u2} 𝕜' E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_5) (SMulZeroClass.toHasSmul.{u3, u2} 𝕜' E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)))) (SMulWithZero.toSmulZeroClass.{u3, u2} 𝕜' E (MulZeroClass.toHasZero.{u3} 𝕜' (MulZeroOneClass.toMulZeroClass.{u3} 𝕜' (MonoidWithZero.toMulZeroOneClass.{u3} 𝕜' (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜' E (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)))) (Module.toMulActionWithZero.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5) _inst_6))))), Eq.{succ u2} (E -> Real -> (Set.{u2} E)) (Seminorm.closedBall.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) _inst_5 _inst_7 (Seminorm.restrictScalars.{u1, u2, u3} 𝕜 E 𝕜' _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 p)) (Seminorm.closedBall.{u3, u2} 𝕜' E _inst_2 _inst_5 (SMulZeroClass.toHasSmul.{u3, u2} 𝕜' E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)))) (SMulWithZero.toSmulZeroClass.{u3, u2} 𝕜' E (MulZeroClass.toHasZero.{u3} 𝕜' (MulZeroOneClass.toMulZeroClass.{u3} 𝕜' (MonoidWithZero.toMulZeroOneClass.{u3} 𝕜' (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜' E (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)))) (Module.toMulActionWithZero.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5) _inst_6)))) p)
-but is expected to have type
-  forall (𝕜 : Type.{u1}) {E : Type.{u2}} {𝕜' : Type.{u3}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : SeminormedRing.{u3} 𝕜'] [_inst_3 : NormedAlgebra.{u1, u3} 𝕜 𝕜' _inst_1 _inst_2] [_inst_4 : NormOneClass.{u3} 𝕜' (SeminormedRing.toNorm.{u3} 𝕜' _inst_2) (Semiring.toOne.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))] [_inst_5 : AddCommGroup.{u2} E] [_inst_6 : Module.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)] [_inst_7 : SMul.{u1, u2} 𝕜 E] [_inst_8 : IsScalarTower.{u1, u3, u2} 𝕜 𝕜' E (Algebra.toSMul.{u1, u3} 𝕜 𝕜' (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))) (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (NormedAlgebra.toAlgebra.{u1, u3} 𝕜 𝕜' _inst_1 _inst_2 _inst_3)) (SMulZeroClass.toSMul.{u3, u2} 𝕜' E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜' E (MonoidWithZero.toZero.{u3} 𝕜' (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜' E (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (Module.toMulActionWithZero.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5) _inst_6)))) _inst_7] (p : Seminorm.{u3, u2} 𝕜' E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_5) (SMulZeroClass.toSMul.{u3, u2} 𝕜' E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜' E (MonoidWithZero.toZero.{u3} 𝕜' (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜' E (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (Module.toMulActionWithZero.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5) _inst_6))))), Eq.{succ u2} (E -> Real -> (Set.{u2} E)) (Seminorm.closedBall.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) _inst_5 _inst_7 (Seminorm.restrictScalars.{u1, u2, u3} 𝕜 E 𝕜' _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 p)) (Seminorm.closedBall.{u3, u2} 𝕜' E _inst_2 _inst_5 (SMulZeroClass.toSMul.{u3, u2} 𝕜' E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜' E (MonoidWithZero.toZero.{u3} 𝕜' (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜' E (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (Module.toMulActionWithZero.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5) _inst_6)))) p)
+<too large>
 Case conversion may be inaccurate. Consider using '#align seminorm.restrict_scalars_closed_ball Seminorm.restrictScalars_closedBallₓ'. -/
 @[simp]
 theorem restrictScalars_closedBall (p : Seminorm 𝕜' E) :
@@ -1792,10 +1617,7 @@ variable [NontriviallyNormedField 𝕜] [SeminormedRing 𝕝] [AddCommGroup E] [
 variable [Module 𝕝 E]
 
 /- warning: seminorm.continuous_at_zero' -> Seminorm.continuousAt_zero' is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_3 : AddCommGroup.{u2} E] [_inst_4 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)] [_inst_6 : TopologicalSpace.{u2} E] [_inst_7 : ContinuousConstSMul.{u1, u2} 𝕜 E _inst_6 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))] {p : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))} {r : Real}, (LT.lt.{0} Real Real.hasLt (OfNat.ofNat.{0} Real 0 (OfNat.mk.{0} Real 0 (Zero.zero.{0} Real Real.hasZero))) r) -> (Membership.Mem.{u2, u2} (Set.{u2} E) (Filter.{u2} E) (Filter.hasMem.{u2} E) (Seminorm.closedBall.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) _inst_3 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4)))) p (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_3)))))))) r) (nhds.{u2} E _inst_6 (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_3)))))))))) -> (ContinuousAt.{u2, 0} E Real _inst_6 (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) (fun (_x : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) p) (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_3)))))))))
-but is expected to have type
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_3 : AddCommGroup.{u2} E] [_inst_4 : Module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)] [_inst_6 : TopologicalSpace.{u2} E] [_inst_7 : ContinuousConstSMul.{u1, u2} 𝕜 E _inst_6 (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))] {p : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))} {r : Real}, (LT.lt.{0} Real Real.instLTReal (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) r) -> (Membership.mem.{u2, u2} (Set.{u2} E) (Filter.{u2} E) (instMembershipSetFilter.{u2} E) (Seminorm.closedBall.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) _inst_3 (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4)))) p (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))))) r) (nhds.{u2} E _inst_6 (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))))))) -> (ContinuousAt.{u2, 0} E Real _inst_6 (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_3))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_3) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4)))) (Seminorm.instSeminormClass.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4)))))))) p) (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))))))
+<too large>
 Case conversion may be inaccurate. Consider using '#align seminorm.continuous_at_zero' Seminorm.continuousAt_zero'ₓ'. -/
 theorem continuousAt_zero' [TopologicalSpace E] [ContinuousConstSMul 𝕜 E] {p : Seminorm 𝕜 E} {r : ℝ}
     (hr : 0 < r) (hp : p.closedBall 0 r ∈ (𝓝 0 : Filter E)) : ContinuousAt p 0 :=
@@ -1814,10 +1636,7 @@ theorem continuousAt_zero' [TopologicalSpace E] [ContinuousConstSMul 𝕜 E] {p
 #align seminorm.continuous_at_zero' Seminorm.continuousAt_zero'
 
 /- warning: seminorm.continuous_at_zero -> Seminorm.continuousAt_zero is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_3 : AddCommGroup.{u2} E] [_inst_4 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)] [_inst_6 : TopologicalSpace.{u2} E] [_inst_7 : ContinuousConstSMul.{u1, u2} 𝕜 E _inst_6 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))] {p : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))} {r : Real}, (LT.lt.{0} Real Real.hasLt (OfNat.ofNat.{0} Real 0 (OfNat.mk.{0} Real 0 (Zero.zero.{0} Real Real.hasZero))) r) -> (Membership.Mem.{u2, u2} (Set.{u2} E) (Filter.{u2} E) (Filter.hasMem.{u2} E) (Seminorm.ball.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) _inst_3 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4)))) p (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_3)))))))) r) (nhds.{u2} E _inst_6 (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_3)))))))))) -> (ContinuousAt.{u2, 0} E Real _inst_6 (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) (fun (_x : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) p) (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_3)))))))))
-but is expected to have type
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_3 : AddCommGroup.{u2} E] [_inst_4 : Module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)] [_inst_6 : TopologicalSpace.{u2} E] [_inst_7 : ContinuousConstSMul.{u1, u2} 𝕜 E _inst_6 (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))] {p : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))} {r : Real}, (LT.lt.{0} Real Real.instLTReal (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) r) -> (Membership.mem.{u2, u2} (Set.{u2} E) (Filter.{u2} E) (instMembershipSetFilter.{u2} E) (Seminorm.ball.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) _inst_3 (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4)))) p (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))))) r) (nhds.{u2} E _inst_6 (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))))))) -> (ContinuousAt.{u2, 0} E Real _inst_6 (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_3))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_3) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4)))) (Seminorm.instSeminormClass.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4)))))))) p) (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))))))
+<too large>
 Case conversion may be inaccurate. Consider using '#align seminorm.continuous_at_zero Seminorm.continuousAt_zeroₓ'. -/
 theorem continuousAt_zero [TopologicalSpace E] [ContinuousConstSMul 𝕜 E] {p : Seminorm 𝕜 E} {r : ℝ}
     (hr : 0 < r) (hp : p.ball 0 r ∈ (𝓝 0 : Filter E)) : ContinuousAt p 0 :=
@@ -1825,10 +1644,7 @@ theorem continuousAt_zero [TopologicalSpace E] [ContinuousConstSMul 𝕜 E] {p :
 #align seminorm.continuous_at_zero Seminorm.continuousAt_zero
 
 /- warning: seminorm.uniform_continuous_of_continuous_at_zero -> Seminorm.uniformContinuous_of_continuousAt_zero is a dubious translation:
-lean 3 declaration is
-  forall {𝕝 : Type.{u1}} {E : Type.{u2}} [_inst_2 : SeminormedRing.{u1} 𝕝] [_inst_3 : AddCommGroup.{u2} E] [_inst_5 : Module.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)] [_inst_6 : UniformSpace.{u2} E] [_inst_7 : UniformAddGroup.{u2} E _inst_6 (AddCommGroup.toAddGroup.{u2} E _inst_3)] {p : Seminorm.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕝 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕝 E (MulZeroClass.toHasZero.{u1} 𝕝 (MulZeroOneClass.toMulZeroClass.{u1} 𝕝 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))}, (ContinuousAt.{u2, 0} E Real (UniformSpace.toTopologicalSpace.{u2} E _inst_6) (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕝 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕝 E (MulZeroClass.toHasZero.{u1} 𝕝 (MulZeroOneClass.toMulZeroClass.{u1} 𝕝 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))) (fun (_x : Seminorm.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕝 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕝 E (MulZeroClass.toHasZero.{u1} 𝕝 (MulZeroOneClass.toMulZeroClass.{u1} 𝕝 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕝 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕝 E (MulZeroClass.toHasZero.{u1} 𝕝 (MulZeroOneClass.toMulZeroClass.{u1} 𝕝 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))) p) (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_3))))))))) -> (UniformContinuous.{u2, 0} E Real _inst_6 (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕝 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕝 E (MulZeroClass.toHasZero.{u1} 𝕝 (MulZeroOneClass.toMulZeroClass.{u1} 𝕝 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))) (fun (_x : Seminorm.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕝 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕝 E (MulZeroClass.toHasZero.{u1} 𝕝 (MulZeroOneClass.toMulZeroClass.{u1} 𝕝 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕝 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕝 E (MulZeroClass.toHasZero.{u1} 𝕝 (MulZeroOneClass.toMulZeroClass.{u1} 𝕝 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))) p))
-but is expected to have type
-  forall {𝕝 : Type.{u1}} {E : Type.{u2}} [_inst_2 : SeminormedRing.{u1} 𝕝] [_inst_3 : AddCommGroup.{u2} E] [_inst_5 : Module.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)] [_inst_6 : UniformSpace.{u2} E] [_inst_7 : UniformAddGroup.{u2} E _inst_6 (AddCommGroup.toAddGroup.{u2} E _inst_3)] {p : Seminorm.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕝 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕝 E (MonoidWithZero.toZero.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))}, (ContinuousAt.{u2, 0} E Real (UniformSpace.toTopologicalSpace.{u2} E _inst_6) (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕝 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕝 E (MonoidWithZero.toZero.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕝 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕝 E (MonoidWithZero.toZero.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_3))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕝 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕝 E (MonoidWithZero.toZero.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_3) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕝 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕝 E (MonoidWithZero.toZero.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))) 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕝 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕝 E (MonoidWithZero.toZero.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5)))) (Seminorm.instSeminormClass.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕝 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕝 E (MonoidWithZero.toZero.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5)))))))) p) (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3)))))))) -> (UniformContinuous.{u2, 0} E Real _inst_6 (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace) (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕝 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕝 E (MonoidWithZero.toZero.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕝 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕝 E (MonoidWithZero.toZero.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_3))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕝 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕝 E (MonoidWithZero.toZero.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_3) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕝 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕝 E (MonoidWithZero.toZero.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))) 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕝 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕝 E (MonoidWithZero.toZero.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5)))) (Seminorm.instSeminormClass.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕝 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕝 E (MonoidWithZero.toZero.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5)))))))) p))
+<too large>
 Case conversion may be inaccurate. Consider using '#align seminorm.uniform_continuous_of_continuous_at_zero Seminorm.uniformContinuous_of_continuousAt_zeroₓ'. -/
 protected theorem uniformContinuous_of_continuousAt_zero [UniformSpace E] [UniformAddGroup E]
     {p : Seminorm 𝕝 E} (hp : ContinuousAt p 0) : UniformContinuous p :=
@@ -1842,10 +1658,7 @@ protected theorem uniformContinuous_of_continuousAt_zero [UniformSpace E] [Unifo
 #align seminorm.uniform_continuous_of_continuous_at_zero Seminorm.uniformContinuous_of_continuousAt_zero
 
 /- warning: seminorm.continuous_of_continuous_at_zero -> Seminorm.continuous_of_continuousAt_zero is a dubious translation:
-lean 3 declaration is
-  forall {𝕝 : Type.{u1}} {E : Type.{u2}} [_inst_2 : SeminormedRing.{u1} 𝕝] [_inst_3 : AddCommGroup.{u2} E] [_inst_5 : Module.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)] [_inst_6 : TopologicalSpace.{u2} E] [_inst_7 : TopologicalAddGroup.{u2} E _inst_6 (AddCommGroup.toAddGroup.{u2} E _inst_3)] {p : Seminorm.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕝 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕝 E (MulZeroClass.toHasZero.{u1} 𝕝 (MulZeroOneClass.toMulZeroClass.{u1} 𝕝 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))}, (ContinuousAt.{u2, 0} E Real _inst_6 (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕝 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕝 E (MulZeroClass.toHasZero.{u1} 𝕝 (MulZeroOneClass.toMulZeroClass.{u1} 𝕝 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))) (fun (_x : Seminorm.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕝 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕝 E (MulZeroClass.toHasZero.{u1} 𝕝 (MulZeroOneClass.toMulZeroClass.{u1} 𝕝 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕝 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕝 E (MulZeroClass.toHasZero.{u1} 𝕝 (MulZeroOneClass.toMulZeroClass.{u1} 𝕝 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))) p) (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_3))))))))) -> (Continuous.{u2, 0} E Real _inst_6 (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕝 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕝 E (MulZeroClass.toHasZero.{u1} 𝕝 (MulZeroOneClass.toMulZeroClass.{u1} 𝕝 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))) (fun (_x : Seminorm.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕝 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕝 E (MulZeroClass.toHasZero.{u1} 𝕝 (MulZeroOneClass.toMulZeroClass.{u1} 𝕝 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕝 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕝 E (MulZeroClass.toHasZero.{u1} 𝕝 (MulZeroOneClass.toMulZeroClass.{u1} 𝕝 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))) p))
-but is expected to have type
-  forall {𝕝 : Type.{u1}} {E : Type.{u2}} [_inst_2 : SeminormedRing.{u1} 𝕝] [_inst_3 : AddCommGroup.{u2} E] [_inst_5 : Module.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)] [_inst_6 : TopologicalSpace.{u2} E] [_inst_7 : TopologicalAddGroup.{u2} E _inst_6 (AddCommGroup.toAddGroup.{u2} E _inst_3)] {p : Seminorm.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕝 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕝 E (MonoidWithZero.toZero.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))}, (ContinuousAt.{u2, 0} E Real _inst_6 (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕝 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E 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(SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕝 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕝 E (MonoidWithZero.toZero.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_3))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕝 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕝 E (MonoidWithZero.toZero.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_3) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕝 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕝 E (MonoidWithZero.toZero.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))) 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕝 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕝 E (MonoidWithZero.toZero.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5)))) (Seminorm.instSeminormClass.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕝 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕝 E (MonoidWithZero.toZero.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5)))))))) p) (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3)))))))) -> (Continuous.{u2, 0} E Real _inst_6 (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕝 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕝 E (MonoidWithZero.toZero.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕝 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕝 E (MonoidWithZero.toZero.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_3))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕝 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕝 E (MonoidWithZero.toZero.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_3) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕝 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕝 E (MonoidWithZero.toZero.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))) 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕝 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕝 E (MonoidWithZero.toZero.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5)))) (Seminorm.instSeminormClass.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕝 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕝 E (MonoidWithZero.toZero.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5)))))))) p))
+<too large>
 Case conversion may be inaccurate. Consider using '#align seminorm.continuous_of_continuous_at_zero Seminorm.continuous_of_continuousAt_zeroₓ'. -/
 protected theorem continuous_of_continuousAt_zero [TopologicalSpace E] [TopologicalAddGroup E]
     {p : Seminorm 𝕝 E} (hp : ContinuousAt p 0) : Continuous p :=
@@ -1856,10 +1669,7 @@ protected theorem continuous_of_continuousAt_zero [TopologicalSpace E] [Topologi
 #align seminorm.continuous_of_continuous_at_zero Seminorm.continuous_of_continuousAt_zero
 
 /- warning: seminorm.uniform_continuous -> Seminorm.uniformContinuous is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_3 : AddCommGroup.{u2} E] [_inst_4 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)] [_inst_6 : UniformSpace.{u2} E] [_inst_7 : UniformAddGroup.{u2} E _inst_6 (AddCommGroup.toAddGroup.{u2} E _inst_3)] [_inst_8 : ContinuousConstSMul.{u1, u2} 𝕜 E (UniformSpace.toTopologicalSpace.{u2} E _inst_6) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))] {p : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))} {r : Real}, (LT.lt.{0} Real Real.hasLt (OfNat.ofNat.{0} Real 0 (OfNat.mk.{0} Real 0 (Zero.zero.{0} Real Real.hasZero))) r) -> (Membership.Mem.{u2, u2} (Set.{u2} E) (Filter.{u2} E) (Filter.hasMem.{u2} E) (Seminorm.ball.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) _inst_3 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4)))) p (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_3)))))))) r) (nhds.{u2} E (UniformSpace.toTopologicalSpace.{u2} E _inst_6) (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_3)))))))))) -> (UniformContinuous.{u2, 0} E Real _inst_6 (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) (fun (_x : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) p))
-but is expected to have type
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_3 : AddCommGroup.{u2} E] [_inst_4 : Module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)] [_inst_6 : UniformSpace.{u2} E] [_inst_7 : UniformAddGroup.{u2} E _inst_6 (AddCommGroup.toAddGroup.{u2} E _inst_3)] [_inst_8 : ContinuousConstSMul.{u1, u2} 𝕜 E (UniformSpace.toTopologicalSpace.{u2} E _inst_6) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))] {p : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))} {r : Real}, (LT.lt.{0} Real Real.instLTReal (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) r) -> (Membership.mem.{u2, u2} (Set.{u2} E) (Filter.{u2} E) (instMembershipSetFilter.{u2} E) (Seminorm.ball.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) _inst_3 (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4)))) p (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))))) r) (nhds.{u2} E (UniformSpace.toTopologicalSpace.{u2} E _inst_6) (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))))))) -> (UniformContinuous.{u2, 0} E Real _inst_6 (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace) (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_3))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_3) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4)))) (Seminorm.instSeminormClass.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4)))))))) p))
+<too large>
 Case conversion may be inaccurate. Consider using '#align seminorm.uniform_continuous Seminorm.uniformContinuousₓ'. -/
 protected theorem uniformContinuous [UniformSpace E] [UniformAddGroup E] [ContinuousConstSMul 𝕜 E]
     {p : Seminorm 𝕜 E} {r : ℝ} (hr : 0 < r) (hp : p.ball 0 r ∈ (𝓝 0 : Filter E)) :
@@ -1868,10 +1678,7 @@ protected theorem uniformContinuous [UniformSpace E] [UniformAddGroup E] [Contin
 #align seminorm.uniform_continuous Seminorm.uniformContinuous
 
 /- warning: seminorm.uniform_continuous' -> Seminorm.uniform_continuous' is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_3 : AddCommGroup.{u2} E] [_inst_4 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)] [_inst_6 : UniformSpace.{u2} E] [_inst_7 : UniformAddGroup.{u2} E _inst_6 (AddCommGroup.toAddGroup.{u2} E _inst_3)] [_inst_8 : ContinuousConstSMul.{u1, u2} 𝕜 E (UniformSpace.toTopologicalSpace.{u2} E _inst_6) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))] {p : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))} {r : Real}, (LT.lt.{0} Real Real.hasLt (OfNat.ofNat.{0} Real 0 (OfNat.mk.{0} Real 0 (Zero.zero.{0} Real Real.hasZero))) r) -> (Membership.Mem.{u2, u2} (Set.{u2} E) (Filter.{u2} E) (Filter.hasMem.{u2} E) (Seminorm.closedBall.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) _inst_3 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4)))) p (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_3)))))))) r) (nhds.{u2} E (UniformSpace.toTopologicalSpace.{u2} E _inst_6) (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_3)))))))))) -> (UniformContinuous.{u2, 0} E Real _inst_6 (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) (fun (_x : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) p))
-but is expected to have type
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_3 : AddCommGroup.{u2} E] [_inst_4 : Module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)] [_inst_6 : UniformSpace.{u2} E] [_inst_7 : UniformAddGroup.{u2} E _inst_6 (AddCommGroup.toAddGroup.{u2} E _inst_3)] [_inst_8 : ContinuousConstSMul.{u1, u2} 𝕜 E (UniformSpace.toTopologicalSpace.{u2} E _inst_6) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))] {p : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))} {r : Real}, (LT.lt.{0} Real Real.instLTReal (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) r) -> (Membership.mem.{u2, u2} (Set.{u2} E) (Filter.{u2} E) (instMembershipSetFilter.{u2} E) (Seminorm.closedBall.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) _inst_3 (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4)))) p (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))))) r) (nhds.{u2} E (UniformSpace.toTopologicalSpace.{u2} E _inst_6) (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))))))) -> (UniformContinuous.{u2, 0} E Real _inst_6 (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace) (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_3))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_3) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4)))) (Seminorm.instSeminormClass.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4)))))))) p))
+<too large>
 Case conversion may be inaccurate. Consider using '#align seminorm.uniform_continuous' Seminorm.uniform_continuous'ₓ'. -/
 protected theorem uniform_continuous' [UniformSpace E] [UniformAddGroup E] [ContinuousConstSMul 𝕜 E]
     {p : Seminorm 𝕜 E} {r : ℝ} (hr : 0 < r) (hp : p.closedBall 0 r ∈ (𝓝 0 : Filter E)) :
@@ -1880,10 +1687,7 @@ protected theorem uniform_continuous' [UniformSpace E] [UniformAddGroup E] [Cont
 #align seminorm.uniform_continuous' Seminorm.uniform_continuous'
 
 /- warning: seminorm.continuous -> Seminorm.continuous is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_3 : AddCommGroup.{u2} E] [_inst_4 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)] [_inst_6 : TopologicalSpace.{u2} E] [_inst_7 : TopologicalAddGroup.{u2} E _inst_6 (AddCommGroup.toAddGroup.{u2} E _inst_3)] [_inst_8 : ContinuousConstSMul.{u1, u2} 𝕜 E _inst_6 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))] {p : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))} {r : Real}, (LT.lt.{0} Real Real.hasLt (OfNat.ofNat.{0} Real 0 (OfNat.mk.{0} Real 0 (Zero.zero.{0} Real Real.hasZero))) r) -> (Membership.Mem.{u2, u2} (Set.{u2} E) (Filter.{u2} E) (Filter.hasMem.{u2} E) (Seminorm.ball.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) _inst_3 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4)))) p (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_3)))))))) r) (nhds.{u2} E _inst_6 (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_3)))))))))) -> (Continuous.{u2, 0} E Real _inst_6 (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) (fun (_x : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) p))
-but is expected to have type
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_3 : AddCommGroup.{u2} E] [_inst_4 : Module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)] [_inst_6 : TopologicalSpace.{u2} E] [_inst_7 : TopologicalAddGroup.{u2} E _inst_6 (AddCommGroup.toAddGroup.{u2} E _inst_3)] [_inst_8 : ContinuousConstSMul.{u1, u2} 𝕜 E _inst_6 (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))] {p : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))} {r : Real}, (LT.lt.{0} Real Real.instLTReal (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) r) -> (Membership.mem.{u2, u2} (Set.{u2} E) (Filter.{u2} E) (instMembershipSetFilter.{u2} E) (Seminorm.ball.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) _inst_3 (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4)))) p (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))))) r) (nhds.{u2} E _inst_6 (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))))))) -> (Continuous.{u2, 0} E Real _inst_6 (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_3))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_3) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4)))) (Seminorm.instSeminormClass.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4)))))))) p))
+<too large>
 Case conversion may be inaccurate. Consider using '#align seminorm.continuous Seminorm.continuousₓ'. -/
 protected theorem continuous [TopologicalSpace E] [TopologicalAddGroup E] [ContinuousConstSMul 𝕜 E]
     {p : Seminorm 𝕜 E} {r : ℝ} (hr : 0 < r) (hp : p.ball 0 r ∈ (𝓝 0 : Filter E)) : Continuous p :=
@@ -1891,10 +1695,7 @@ protected theorem continuous [TopologicalSpace E] [TopologicalAddGroup E] [Conti
 #align seminorm.continuous Seminorm.continuous
 
 /- warning: seminorm.continuous' -> Seminorm.continuous' is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_3 : AddCommGroup.{u2} E] [_inst_4 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)] [_inst_6 : TopologicalSpace.{u2} E] [_inst_7 : TopologicalAddGroup.{u2} E _inst_6 (AddCommGroup.toAddGroup.{u2} E _inst_3)] [_inst_8 : ContinuousConstSMul.{u1, u2} 𝕜 E _inst_6 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))] {p : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))} {r : Real}, (LT.lt.{0} Real Real.hasLt (OfNat.ofNat.{0} Real 0 (OfNat.mk.{0} Real 0 (Zero.zero.{0} Real Real.hasZero))) r) -> (Membership.Mem.{u2, u2} (Set.{u2} E) (Filter.{u2} E) (Filter.hasMem.{u2} E) (Seminorm.closedBall.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) _inst_3 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4)))) p (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_3)))))))) r) (nhds.{u2} E _inst_6 (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_3)))))))))) -> (Continuous.{u2, 0} E Real _inst_6 (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) (fun (_x : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) p))
-but is expected to have type
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_3 : AddCommGroup.{u2} E] [_inst_4 : Module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)] [_inst_6 : TopologicalSpace.{u2} E] [_inst_7 : TopologicalAddGroup.{u2} E _inst_6 (AddCommGroup.toAddGroup.{u2} E _inst_3)] [_inst_8 : ContinuousConstSMul.{u1, u2} 𝕜 E _inst_6 (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))] {p : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))} {r : Real}, (LT.lt.{0} Real Real.instLTReal (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) r) -> (Membership.mem.{u2, u2} (Set.{u2} E) (Filter.{u2} E) (instMembershipSetFilter.{u2} E) (Seminorm.closedBall.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) _inst_3 (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4)))) p (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))))) r) (nhds.{u2} E _inst_6 (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))))))) -> (Continuous.{u2, 0} E Real _inst_6 (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_3))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_3) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4)))) (Seminorm.instSeminormClass.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4)))))))) p))
+<too large>
 Case conversion may be inaccurate. Consider using '#align seminorm.continuous' Seminorm.continuous'ₓ'. -/
 protected theorem continuous' [TopologicalSpace E] [TopologicalAddGroup E] [ContinuousConstSMul 𝕜 E]
     {p : Seminorm 𝕜 E} {r : ℝ} (hr : 0 < r) (hp : p.closedBall 0 r ∈ (𝓝 0 : Filter E)) :
@@ -1903,10 +1704,7 @@ protected theorem continuous' [TopologicalSpace E] [TopologicalAddGroup E] [Cont
 #align seminorm.continuous' Seminorm.continuous'
 
 /- warning: seminorm.continuous_of_le -> Seminorm.continuous_of_le is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_3 : AddCommGroup.{u2} E] [_inst_4 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)] [_inst_6 : TopologicalSpace.{u2} E] [_inst_7 : TopologicalAddGroup.{u2} E _inst_6 (AddCommGroup.toAddGroup.{u2} E _inst_3)] [_inst_8 : ContinuousConstSMul.{u1, u2} 𝕜 E _inst_6 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))] {p : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))} {q : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))}, (Continuous.{u2, 0} E Real _inst_6 (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) (fun (_x : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) q)) -> (LE.le.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) (Preorder.toHasLe.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) (PartialOrder.toPreorder.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) (Seminorm.partialOrder.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))))) p q) -> (Continuous.{u2, 0} E Real _inst_6 (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) (fun (_x : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) p))
-but is expected to have type
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_3 : AddCommGroup.{u2} E] [_inst_4 : Module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)] [_inst_6 : TopologicalSpace.{u2} E] [_inst_7 : TopologicalAddGroup.{u2} E _inst_6 (AddCommGroup.toAddGroup.{u2} E _inst_3)] [_inst_8 : ContinuousConstSMul.{u1, u2} 𝕜 E _inst_6 (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))] {p : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))} {q : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))}, (Continuous.{u2, 0} E Real _inst_6 (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_3))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_3) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4)))) (Seminorm.instSeminormClass.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4)))))))) q)) -> (LE.le.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) (Preorder.toLE.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) (PartialOrder.toPreorder.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) (Seminorm.instPartialOrder.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))))) p q) -> (Continuous.{u2, 0} E Real _inst_6 (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_3))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_3) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E 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+<too large>
 Case conversion may be inaccurate. Consider using '#align seminorm.continuous_of_le Seminorm.continuous_of_leₓ'. -/
 theorem continuous_of_le [TopologicalSpace E] [TopologicalAddGroup E] [ContinuousConstSMul 𝕜 E]
     {p q : Seminorm 𝕜 E} (hq : Continuous q) (hpq : p ≤ q) : Continuous p :=
@@ -1938,10 +1736,7 @@ def normSeminorm : Seminorm 𝕜 E :=
 -/
 
 /- warning: coe_norm_seminorm -> coe_normSeminorm is a dubious translation:
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(CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (SeminormedAddGroup.toAddGroup.{u2} E (SeminormedAddCommGroup.toSeminormedAddGroup.{u2} E _inst_2)))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (SeminormedAddGroup.toAddGroup.{u2} E (SeminormedAddCommGroup.toSeminormedAddGroup.{u2} E _inst_2)) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)))))) E Real (SeminormedAddGroup.toAddGroup.{u2} E (SeminormedAddCommGroup.toSeminormedAddGroup.{u2} E _inst_2)) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (SeminormedAddGroup.toAddGroup.{u2} E (SeminormedAddCommGroup.toSeminormedAddGroup.{u2} E _inst_2)) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (SeminormedAddGroup.toAddGroup.{u2} E (SeminormedAddCommGroup.toSeminormedAddGroup.{u2} E _inst_2)) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))))) (Seminorm.instSeminormClass.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (SeminormedAddGroup.toAddGroup.{u2} E (SeminormedAddCommGroup.toSeminormedAddGroup.{u2} E _inst_2)) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))))))))) (normSeminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (Norm.norm.{u2} E (SeminormedAddCommGroup.toNorm.{u2} E _inst_2))
+<too large>
 Case conversion may be inaccurate. Consider using '#align coe_norm_seminorm coe_normSeminormₓ'. -/
 @[simp]
 theorem coe_normSeminorm : ⇑(normSeminorm 𝕜 E) = norm :=

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

@@ -1658,7 +1658,7 @@ theorem neg_ball (p : Seminorm 𝕜 E) (r : ℝ) (x : E) : -ball p x r = ball p
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (p : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (y : E) (r : Real) (a : 𝕜), (Ne.{succ u1} 𝕜 a (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))))))) -> (Eq.{succ u2} (Set.{u2} E) (Set.preimage.{u2, u2} E E (SMul.smul.{u1, u2} 𝕜 E (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) a) (Seminorm.ball.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) p y r)) (Seminorm.ball.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) p (SMul.smul.{u1, u2} 𝕜 E (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Inv.inv.{u1} 𝕜 (DivInvMonoid.toHasInv.{u1} 𝕜 (DivisionRing.toDivInvMonoid.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 (NormedField.toNormedDivisionRing.{u1} 𝕜 _inst_1)))) a) y) (HDiv.hDiv.{0, 0, 0} Real Real Real (instHDiv.{0} Real (DivInvMonoid.toHasDiv.{0} Real (DivisionRing.toDivInvMonoid.{0} Real Real.divisionRing))) r (Norm.norm.{u1} 𝕜 (NormedField.toHasNorm.{u1} 𝕜 _inst_1) a))))
 but is expected to have type
-  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : NormedField.{u2} 𝕜] [_inst_2 : AddCommGroup.{u1} E] [_inst_3 : Module.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)] (p : Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) (y : E) (r : Real) (a : 𝕜), (Ne.{succ u2} 𝕜 a (OfNat.ofNat.{u2} 𝕜 0 (Zero.toOfNat0.{u2} 𝕜 (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))))))) -> (Eq.{succ u1} (Set.{u1} E) (Set.preimage.{u1, u1} E E ((fun (x._@.Mathlib.Analysis.Seminorm._hyg.15306 : 𝕜) (x._@.Mathlib.Analysis.Seminorm._hyg.15308 : E) => HSMul.hSMul.{u2, u1, u1} 𝕜 E E (instHSMul.{u2, u1} 𝕜 E (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) x._@.Mathlib.Analysis.Seminorm._hyg.15306 x._@.Mathlib.Analysis.Seminorm._hyg.15308) a) (Seminorm.ball.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) _inst_2 (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))) p y r)) (Seminorm.ball.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) _inst_2 (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))) p (HSMul.hSMul.{u2, u1, u1} 𝕜 E E (instHSMul.{u2, u1} 𝕜 E (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) (Inv.inv.{u2} 𝕜 (Field.toInv.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)) a) y) (HDiv.hDiv.{0, 0, 0} Real Real Real (instHDiv.{0} Real (LinearOrderedField.toDiv.{0} Real Real.instLinearOrderedFieldReal)) r (Norm.norm.{u2} 𝕜 (NormedField.toNorm.{u2} 𝕜 _inst_1) a))))
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : NormedField.{u2} 𝕜] [_inst_2 : AddCommGroup.{u1} E] [_inst_3 : Module.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)] (p : Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) (y : E) (r : Real) (a : 𝕜), (Ne.{succ u2} 𝕜 a (OfNat.ofNat.{u2} 𝕜 0 (Zero.toOfNat0.{u2} 𝕜 (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))))))) -> (Eq.{succ u1} (Set.{u1} E) (Set.preimage.{u1, u1} E E ((fun (x._@.Mathlib.Analysis.Seminorm._hyg.15296 : 𝕜) (x._@.Mathlib.Analysis.Seminorm._hyg.15298 : E) => HSMul.hSMul.{u2, u1, u1} 𝕜 E E (instHSMul.{u2, u1} 𝕜 E (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) x._@.Mathlib.Analysis.Seminorm._hyg.15296 x._@.Mathlib.Analysis.Seminorm._hyg.15298) a) (Seminorm.ball.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) _inst_2 (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))) p y r)) (Seminorm.ball.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) _inst_2 (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))) p (HSMul.hSMul.{u2, u1, u1} 𝕜 E E (instHSMul.{u2, u1} 𝕜 E (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) (Inv.inv.{u2} 𝕜 (Field.toInv.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)) a) y) (HDiv.hDiv.{0, 0, 0} Real Real Real (instHDiv.{0} Real (LinearOrderedField.toDiv.{0} Real Real.instLinearOrderedFieldReal)) r (Norm.norm.{u2} 𝕜 (NormedField.toNorm.{u2} 𝕜 _inst_1) a))))
 Case conversion may be inaccurate. Consider using '#align seminorm.smul_ball_preimage Seminorm.smul_ball_preimageₓ'. -/
 @[simp]
 theorem smul_ball_preimage (p : Seminorm 𝕜 E) (y : E) (r : ℝ) (a : 𝕜) (ha : a ≠ 0) :

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

@@ -430,7 +430,7 @@ def comp (p : Seminorm 𝕜₂ E₂) (f : E →ₛₗ[σ₁₂] E₂) : Seminorm
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {𝕜₂ : Type.{u2}} {E : Type.{u3}} {E₂ : Type.{u4}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : SeminormedRing.{u2} 𝕜₂] {σ₁₂ : RingHom.{u1, u2} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))} [_inst_4 : RingHomIsometric.{u1, u2} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (SeminormedRing.toHasNorm.{u1} 𝕜 _inst_1) (SeminormedRing.toHasNorm.{u2} 𝕜₂ _inst_2) σ₁₂] [_inst_7 : AddCommGroup.{u3} E] [_inst_8 : AddCommGroup.{u4} E₂] [_inst_12 : Module.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)] [_inst_13 : Module.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)] (p : Seminorm.{u2, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))) (f : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_12 _inst_13), Eq.{succ u3} (E -> Real) (coeFn.{succ u3, succ u3} (Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))) (fun (_x : Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))) (Seminorm.comp.{u1, u2, u3, u4} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 p f)) (Function.comp.{succ u3, succ u4, 1} E E₂ Real (coeFn.{succ u4, succ u4} (Seminorm.{u2, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))) (fun (_x : Seminorm.{u2, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))) => E₂ -> Real) (Seminorm.hasCoeToFun.{u2, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))) p) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_12 _inst_13) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_12 _inst_13) => E -> E₂) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜 𝕜₂ E E₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_12 _inst_13 σ₁₂) f))
 but is expected to have type
-  forall {𝕜 : Type.{u2}} {𝕜₂ : Type.{u4}} {E : Type.{u1}} {E₂ : Type.{u3}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_2 : SeminormedRing.{u4} 𝕜₂] {σ₁₂ : RingHom.{u2, u4} 𝕜 𝕜₂ (Semiring.toNonAssocSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (Semiring.toNonAssocSemiring.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))} [_inst_4 : RingHomIsometric.{u2, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (SeminormedRing.toNorm.{u2} 𝕜 _inst_1) (SeminormedRing.toNorm.{u4} 𝕜₂ _inst_2) σ₁₂] [_inst_7 : AddCommGroup.{u1} E] [_inst_8 : AddCommGroup.{u3} E₂] [_inst_12 : Module.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7)] [_inst_13 : Module.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8)] (p : Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) (f : LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_12 _inst_13), Eq.{succ u1} (forall (ᾰ : E), (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) ᾰ) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_7))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) E Real (AddCommGroup.toAddGroup.{u1} E _inst_7) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12)))) (Seminorm.instSeminormClass.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12)))))))) (Seminorm.comp.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 p f)) (Function.comp.{succ u1, succ u3, 1} E E₂ Real (FunLike.coe.{succ u3, succ u3, 1} (Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) E₂ (fun (_x : E₂) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E₂) => Real) _x) (SubadditiveHomClass.toFunLike.{u3, u3, 0} (Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) E₂ Real (AddZeroClass.toAdd.{u3} E₂ (AddMonoid.toAddZeroClass.{u3} E₂ (SubNegMonoid.toAddMonoid.{u3} E₂ (AddGroup.toSubNegMonoid.{u3} E₂ (AddCommGroup.toAddGroup.{u3} E₂ _inst_8))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u3, u3, 0} (Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) E₂ Real (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u3, u4, u3} (Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13)))) (Seminorm.instSeminormClass.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13)))))))) p) (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_12 _inst_13) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : E) => E₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_12 _inst_13 σ₁₂) f))
+  forall {𝕜 : Type.{u2}} {𝕜₂ : Type.{u4}} {E : Type.{u1}} {E₂ : Type.{u3}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_2 : SeminormedRing.{u4} 𝕜₂] {σ₁₂ : RingHom.{u2, u4} 𝕜 𝕜₂ (Semiring.toNonAssocSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (Semiring.toNonAssocSemiring.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))} [_inst_4 : RingHomIsometric.{u2, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (SeminormedRing.toNorm.{u2} 𝕜 _inst_1) (SeminormedRing.toNorm.{u4} 𝕜₂ _inst_2) σ₁₂] [_inst_7 : AddCommGroup.{u1} E] [_inst_8 : AddCommGroup.{u3} E₂] [_inst_12 : Module.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7)] [_inst_13 : Module.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8)] (p : Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) (f : LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_12 _inst_13), Eq.{succ u1} (forall (ᾰ : E), (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) ᾰ) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_7))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) E Real (AddCommGroup.toAddGroup.{u1} E _inst_7) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12)))) (Seminorm.instSeminormClass.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12)))))))) (Seminorm.comp.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 p f)) (Function.comp.{succ u1, succ u3, 1} E E₂ Real (FunLike.coe.{succ u3, succ u3, 1} (Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) E₂ (fun (_x : E₂) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E₂) => Real) _x) (SubadditiveHomClass.toFunLike.{u3, u3, 0} (Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) E₂ Real (AddZeroClass.toAdd.{u3} E₂ (AddMonoid.toAddZeroClass.{u3} E₂ (SubNegMonoid.toAddMonoid.{u3} E₂ (AddGroup.toSubNegMonoid.{u3} E₂ (AddCommGroup.toAddGroup.{u3} E₂ _inst_8))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u3, u3, 0} (Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) E₂ Real (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u3, u4, u3} (Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13)))) (Seminorm.instSeminormClass.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13)))))))) p) (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_12 _inst_13) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : E) => E₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_12 _inst_13 σ₁₂) f))
 Case conversion may be inaccurate. Consider using '#align seminorm.coe_comp Seminorm.coe_compₓ'. -/
 theorem coe_comp (p : Seminorm 𝕜₂ E₂) (f : E →ₛₗ[σ₁₂] E₂) : ⇑(p.comp f) = p ∘ f :=
   rfl
@@ -440,7 +440,7 @@ theorem coe_comp (p : Seminorm 𝕜₂ E₂) (f : E →ₛₗ[σ₁₂] E₂) :
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {𝕜₂ : Type.{u2}} {E : Type.{u3}} {E₂ : Type.{u4}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : SeminormedRing.{u2} 𝕜₂] {σ₁₂ : RingHom.{u1, u2} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))} [_inst_4 : RingHomIsometric.{u1, u2} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (SeminormedRing.toHasNorm.{u1} 𝕜 _inst_1) (SeminormedRing.toHasNorm.{u2} 𝕜₂ _inst_2) σ₁₂] [_inst_7 : AddCommGroup.{u3} E] [_inst_8 : AddCommGroup.{u4} E₂] [_inst_12 : Module.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)] [_inst_13 : Module.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)] (p : Seminorm.{u2, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))) (f : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_12 _inst_13) (x : E), Eq.{1} Real (coeFn.{succ u3, succ u3} (Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))) (fun (_x : Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))) (Seminorm.comp.{u1, u2, u3, u4} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 p f) x) (coeFn.{succ u4, succ u4} (Seminorm.{u2, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))) (fun (_x : Seminorm.{u2, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))) => E₂ -> Real) (Seminorm.hasCoeToFun.{u2, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))) p (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_12 _inst_13) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_12 _inst_13) => E -> E₂) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜 𝕜₂ E E₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_12 _inst_13 σ₁₂) f x))
 but is expected to have type
-  forall {𝕜 : Type.{u2}} {𝕜₂ : Type.{u4}} {E : Type.{u1}} {E₂ : Type.{u3}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_2 : SeminormedRing.{u4} 𝕜₂] {σ₁₂ : RingHom.{u2, u4} 𝕜 𝕜₂ (Semiring.toNonAssocSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (Semiring.toNonAssocSemiring.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))} [_inst_4 : RingHomIsometric.{u2, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (SeminormedRing.toNorm.{u2} 𝕜 _inst_1) (SeminormedRing.toNorm.{u4} 𝕜₂ _inst_2) σ₁₂] [_inst_7 : AddCommGroup.{u1} E] [_inst_8 : AddCommGroup.{u3} E₂] [_inst_12 : Module.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7)] [_inst_13 : Module.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8)] (p : Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) (f : LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_12 _inst_13) (x : E), Eq.{1} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) x) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_7))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) E Real (AddCommGroup.toAddGroup.{u1} E _inst_7) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12)))) (Seminorm.instSeminormClass.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12)))))))) (Seminorm.comp.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 p f) x) (FunLike.coe.{succ u3, succ u3, 1} (Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) E₂ (fun (_x : E₂) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E₂) => Real) _x) (SubadditiveHomClass.toFunLike.{u3, u3, 0} (Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) E₂ Real (AddZeroClass.toAdd.{u3} E₂ (AddMonoid.toAddZeroClass.{u3} E₂ (SubNegMonoid.toAddMonoid.{u3} E₂ (AddGroup.toSubNegMonoid.{u3} E₂ (AddCommGroup.toAddGroup.{u3} E₂ _inst_8))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u3, u3, 0} (Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) E₂ Real (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u3, u4, u3} (Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13)))) (Seminorm.instSeminormClass.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13)))))))) p (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_12 _inst_13) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : E) => E₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_12 _inst_13 σ₁₂) f x))
+  forall {𝕜 : Type.{u2}} {𝕜₂ : Type.{u4}} {E : Type.{u1}} {E₂ : Type.{u3}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_2 : SeminormedRing.{u4} 𝕜₂] {σ₁₂ : RingHom.{u2, u4} 𝕜 𝕜₂ (Semiring.toNonAssocSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (Semiring.toNonAssocSemiring.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))} [_inst_4 : RingHomIsometric.{u2, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (SeminormedRing.toNorm.{u2} 𝕜 _inst_1) (SeminormedRing.toNorm.{u4} 𝕜₂ _inst_2) σ₁₂] [_inst_7 : AddCommGroup.{u1} E] [_inst_8 : AddCommGroup.{u3} E₂] [_inst_12 : Module.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7)] [_inst_13 : Module.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8)] (p : Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) (f : LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_12 _inst_13) (x : E), Eq.{1} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) x) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_7))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) E Real (AddCommGroup.toAddGroup.{u1} E _inst_7) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12)))) (Seminorm.instSeminormClass.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12)))))))) (Seminorm.comp.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 p f) x) (FunLike.coe.{succ u3, succ u3, 1} (Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) E₂ (fun (_x : E₂) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E₂) => Real) _x) (SubadditiveHomClass.toFunLike.{u3, u3, 0} (Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) E₂ Real (AddZeroClass.toAdd.{u3} E₂ (AddMonoid.toAddZeroClass.{u3} E₂ (SubNegMonoid.toAddMonoid.{u3} E₂ (AddGroup.toSubNegMonoid.{u3} E₂ (AddCommGroup.toAddGroup.{u3} E₂ _inst_8))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u3, u3, 0} (Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) E₂ Real (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u3, u4, u3} (Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13)))) (Seminorm.instSeminormClass.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13)))))))) p (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_12 _inst_13) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : E) => E₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_12 _inst_13 σ₁₂) f x))
 Case conversion may be inaccurate. Consider using '#align seminorm.comp_apply Seminorm.comp_applyₓ'. -/
 @[simp]
 theorem comp_apply (p : Seminorm 𝕜₂ E₂) (f : E →ₛₗ[σ₁₂] E₂) (x : E) : (p.comp f) x = p (f x) :=
@@ -683,7 +683,7 @@ theorem comp_smul (p : Seminorm 𝕜₂ E₂) (f : E →ₛₗ[σ₁₂] E₂) (
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {𝕜₂ : Type.{u2}} {E : Type.{u3}} {E₂ : Type.{u4}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : SeminormedCommRing.{u2} 𝕜₂] {σ₁₂ : RingHom.{u1, u2} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))))} [_inst_3 : RingHomIsometric.{u1, u2} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))) (SeminormedRing.toHasNorm.{u1} 𝕜 _inst_1) (SeminormedRing.toHasNorm.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2)) σ₁₂] [_inst_4 : AddCommGroup.{u3} E] [_inst_5 : AddCommGroup.{u4} E₂] [_inst_6 : Module.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)] [_inst_7 : Module.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)] (p : Seminorm.{u2, u4} 𝕜₂ E₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2) (AddCommGroup.toAddGroup.{u4} E₂ _inst_5) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2)))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_7))))) (f : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_4) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_6 _inst_7) (c : 𝕜₂) (x : E), Eq.{1} Real (coeFn.{succ u3, succ u3} (Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_4) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_4) _inst_6))))) (fun (_x : Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_4) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_4) _inst_6))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_4) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_4) _inst_6))))) (Seminorm.comp.{u1, u2, u3, u4} 𝕜 𝕜₂ E E₂ _inst_1 (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2) σ₁₂ _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 p (SMul.smul.{u2, max u3 u4} 𝕜₂ (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_4) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_6 _inst_7) (LinearMap.hasSmul.{u1, u2, u2, u3, u4} 𝕜 𝕜₂ 𝕜₂ E E₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_4) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_6 _inst_7 σ₁₂ (Ring.toMonoid.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))) (Module.toDistribMulAction.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_7) (smulCommClass_self.{u2, u4} 𝕜₂ E₂ (CommRing.toCommMonoid.{u2} 𝕜₂ (SeminormedCommRing.toCommRing.{u2} 𝕜₂ _inst_2)) (MulActionWithZero.toMulAction.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2)))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_7)))) c f)) x) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) (Norm.norm.{u2} 𝕜₂ (SeminormedRing.toHasNorm.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2)) c) (coeFn.{succ u4, succ u4} (Seminorm.{u2, u4} 𝕜₂ E₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2) (AddCommGroup.toAddGroup.{u4} E₂ _inst_5) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2)))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_7))))) (fun (_x : Seminorm.{u2, u4} 𝕜₂ E₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2) (AddCommGroup.toAddGroup.{u4} E₂ _inst_5) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2)))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_7))))) => E₂ -> Real) (Seminorm.hasCoeToFun.{u2, u4} 𝕜₂ E₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2) (AddCommGroup.toAddGroup.{u4} E₂ _inst_5) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2)))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_7))))) p (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_4) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_6 _inst_7) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_4) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_6 _inst_7) => E -> E₂) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜 𝕜₂ E E₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_4) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_6 _inst_7 σ₁₂) f x)))
 but is expected to have type
-  forall {𝕜 : Type.{u2}} {𝕜₂ : Type.{u4}} {E : Type.{u1}} {E₂ : Type.{u3}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_2 : SeminormedCommRing.{u4} 𝕜₂] {σ₁₂ : RingHom.{u2, u4} 𝕜 𝕜₂ (Semiring.toNonAssocSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (Semiring.toNonAssocSemiring.{u4} 𝕜₂ (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))))} [_inst_3 : RingHomIsometric.{u2, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))) (SeminormedRing.toNorm.{u2} 𝕜 _inst_1) (SeminormedRing.toNorm.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2)) σ₁₂] [_inst_4 : AddCommGroup.{u1} E] [_inst_5 : AddCommGroup.{u3} E₂] [_inst_6 : Module.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4)] [_inst_7 : Module.{u4, u3} 𝕜₂ E₂ (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5)] (p : Seminorm.{u4, u3} 𝕜₂ E₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2) (AddCommGroup.toAddGroup.{u3} E₂ _inst_5) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (CommMonoidWithZero.toZero.{u4} 𝕜₂ (CommSemiring.toCommMonoidWithZero.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_7))))) (f : LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_6 _inst_7) (c : 𝕜₂) (x : E), Eq.{1} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) x) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_4) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) _inst_6))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_4) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) _inst_6))))) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E 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_inst_5))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_7))))) E₂ Real (AddZeroClass.toAdd.{u3} E₂ (AddMonoid.toAddZeroClass.{u3} E₂ (SubNegMonoid.toAddMonoid.{u3} E₂ (AddGroup.toSubNegMonoid.{u3} E₂ (AddCommGroup.toAddGroup.{u3} E₂ _inst_5))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u3, u3, 0} (Seminorm.{u4, u3} 𝕜₂ E₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2) (AddCommGroup.toAddGroup.{u3} E₂ _inst_5) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (CommMonoidWithZero.toZero.{u4} 𝕜₂ (CommSemiring.toCommMonoidWithZero.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_7))))) E₂ Real (AddCommGroup.toAddGroup.{u3} E₂ _inst_5) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u3, u4, u3} (Seminorm.{u4, u3} 𝕜₂ E₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2) (AddCommGroup.toAddGroup.{u3} E₂ _inst_5) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (CommMonoidWithZero.toZero.{u4} 𝕜₂ (CommSemiring.toCommMonoidWithZero.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_7))))) 𝕜₂ E₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2) (AddCommGroup.toAddGroup.{u3} E₂ _inst_5) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (CommMonoidWithZero.toZero.{u4} 𝕜₂ (CommSemiring.toCommMonoidWithZero.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_7)))) (Seminorm.instSeminormClass.{u4, u3} 𝕜₂ E₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2) (AddCommGroup.toAddGroup.{u3} E₂ _inst_5) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (CommMonoidWithZero.toZero.{u4} 𝕜₂ (CommSemiring.toCommMonoidWithZero.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_7)))))))) p (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_6 _inst_7) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : E) => E₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_6 _inst_7 σ₁₂) f x)))
+  forall {𝕜 : Type.{u2}} {𝕜₂ : Type.{u4}} {E : Type.{u1}} {E₂ : Type.{u3}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_2 : SeminormedCommRing.{u4} 𝕜₂] {σ₁₂ : RingHom.{u2, u4} 𝕜 𝕜₂ (Semiring.toNonAssocSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (Semiring.toNonAssocSemiring.{u4} 𝕜₂ (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))))} [_inst_3 : RingHomIsometric.{u2, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))) (SeminormedRing.toNorm.{u2} 𝕜 _inst_1) (SeminormedRing.toNorm.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2)) σ₁₂] [_inst_4 : AddCommGroup.{u1} E] [_inst_5 : AddCommGroup.{u3} E₂] [_inst_6 : Module.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4)] [_inst_7 : Module.{u4, u3} 𝕜₂ E₂ (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5)] (p : Seminorm.{u4, u3} 𝕜₂ E₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2) (AddCommGroup.toAddGroup.{u3} E₂ _inst_5) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (CommMonoidWithZero.toZero.{u4} 𝕜₂ (CommSemiring.toCommMonoidWithZero.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_7))))) (f : LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_6 _inst_7) (c : 𝕜₂) (x : E), Eq.{1} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) x) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_4) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) _inst_6))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_4) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) _inst_6))))) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_4))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_4) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E 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(SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 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(SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) _inst_6)))) (Seminorm.instSeminormClass.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_4) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E 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(SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_6 _inst_7) (LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_6 _inst_7) (instHSMul.{u4, max u1 u3} 𝕜₂ (LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_6 _inst_7) (LinearMap.instSMulLinearMap.{u2, u4, u4, u1, u3} 𝕜 𝕜₂ 𝕜₂ E E₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_6 _inst_7 σ₁₂ (MonoidWithZero.toMonoid.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))))) (Module.toDistribMulAction.{u4, u3} 𝕜₂ E₂ (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_7) (smulCommClass_self.{u4, u3} 𝕜₂ E₂ (CommRing.toCommMonoid.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2)) (MulActionWithZero.toMulAction.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_7))))) c f)) x) (HMul.hMul.{0, 0, 0} Real ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E₂) => Real) (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_6 _inst_7) E (fun (a : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : E) => E₂) a) 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_inst_5))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_7))))) E₂ Real (AddZeroClass.toAdd.{u3} E₂ (AddMonoid.toAddZeroClass.{u3} E₂ (SubNegMonoid.toAddMonoid.{u3} E₂ (AddGroup.toSubNegMonoid.{u3} E₂ (AddCommGroup.toAddGroup.{u3} E₂ _inst_5))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u3, u3, 0} (Seminorm.{u4, u3} 𝕜₂ E₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2) (AddCommGroup.toAddGroup.{u3} E₂ _inst_5) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (CommMonoidWithZero.toZero.{u4} 𝕜₂ (CommSemiring.toCommMonoidWithZero.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_7))))) E₂ Real (AddCommGroup.toAddGroup.{u3} E₂ _inst_5) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u3, u4, u3} (Seminorm.{u4, u3} 𝕜₂ E₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2) (AddCommGroup.toAddGroup.{u3} E₂ _inst_5) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (CommMonoidWithZero.toZero.{u4} 𝕜₂ (CommSemiring.toCommMonoidWithZero.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_7))))) 𝕜₂ E₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2) (AddCommGroup.toAddGroup.{u3} E₂ _inst_5) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (CommMonoidWithZero.toZero.{u4} 𝕜₂ (CommSemiring.toCommMonoidWithZero.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_7)))) (Seminorm.instSeminormClass.{u4, u3} 𝕜₂ E₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2) (AddCommGroup.toAddGroup.{u3} E₂ _inst_5) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (CommMonoidWithZero.toZero.{u4} 𝕜₂ (CommSemiring.toCommMonoidWithZero.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_7)))))))) p (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_6 _inst_7) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : E) => E₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_6 _inst_7 σ₁₂) f x)))
 Case conversion may be inaccurate. Consider using '#align seminorm.comp_smul_apply Seminorm.comp_smul_applyₓ'. -/
 theorem comp_smul_apply (p : Seminorm 𝕜₂ E₂) (f : E →ₛₗ[σ₁₂] E₂) (c : 𝕜₂) (x : E) :
     p.comp (c • f) x = ‖c‖ * p (f x) :=
@@ -1238,7 +1238,7 @@ variable {σ₁₂ : 𝕜 →+* 𝕜₂} [RingHomIsometric σ₁₂]
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {𝕜₂ : Type.{u2}} {E : Type.{u3}} {E₂ : Type.{u4}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u3} E] [_inst_3 : Module.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)] [_inst_4 : SeminormedRing.{u2} 𝕜₂] [_inst_5 : AddCommGroup.{u4} E₂] [_inst_6 : Module.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_4)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)] {σ₁₂ : RingHom.{u1, u2} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_4)))} [_inst_7 : RingHomIsometric.{u1, u2} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_4)) (SeminormedRing.toHasNorm.{u1} 𝕜 _inst_1) (SeminormedRing.toHasNorm.{u2} 𝕜₂ _inst_4) σ₁₂] (p : Seminorm.{u2, u4} 𝕜₂ E₂ _inst_4 (AddCommGroup.toAddGroup.{u4} E₂ _inst_5) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_4)))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_4))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_4)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_6))))) (f : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_4)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_3 _inst_6) (x : E) (r : Real), Eq.{succ u3} (Set.{u3} E) (Seminorm.ball.{u1, u3} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3)))) (Seminorm.comp.{u1, u2, u3, u4} 𝕜 𝕜₂ E E₂ _inst_1 _inst_4 σ₁₂ _inst_7 _inst_2 _inst_5 _inst_3 _inst_6 p f) x r) (Set.preimage.{u3, u4} E E₂ (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_4)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_3 _inst_6) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_4)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_3 _inst_6) => E -> E₂) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜 𝕜₂ E E₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_4)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_3 _inst_6 σ₁₂) f) (Seminorm.ball.{u2, u4} 𝕜₂ E₂ _inst_4 _inst_5 (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_4)))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_4))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_4)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_6)))) p (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_4)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_3 _inst_6) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_4)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_3 _inst_6) => E -> E₂) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜 𝕜₂ E E₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_4)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_3 _inst_6 σ₁₂) f x) r))
 but is expected to have type
-  forall {𝕜 : Type.{u2}} {𝕜₂ : Type.{u4}} {E : Type.{u1}} {E₂ : Type.{u3}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_2 : AddCommGroup.{u1} E] [_inst_3 : Module.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)] [_inst_4 : SeminormedRing.{u4} 𝕜₂] [_inst_5 : AddCommGroup.{u3} E₂] [_inst_6 : Module.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5)] {σ₁₂ : RingHom.{u2, u4} 𝕜 𝕜₂ (Semiring.toNonAssocSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (Semiring.toNonAssocSemiring.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)))} [_inst_7 : RingHomIsometric.{u2, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)) (SeminormedRing.toNorm.{u2} 𝕜 _inst_1) (SeminormedRing.toNorm.{u4} 𝕜₂ _inst_4) σ₁₂] (p : Seminorm.{u4, u3} 𝕜₂ E₂ _inst_4 (AddCommGroup.toAddGroup.{u3} E₂ _inst_5) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_6))))) (f : LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_3 _inst_6) (x : E) (r : Real), Eq.{succ u1} (Set.{u1} E) (Seminorm.ball.{u2, u1} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))) (Seminorm.comp.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ _inst_1 _inst_4 σ₁₂ _inst_7 _inst_2 _inst_5 _inst_3 _inst_6 p f) x r) (Set.preimage.{u1, u3} E E₂ (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_3 _inst_6) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : E) => E₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_3 _inst_6 σ₁₂) f) (Seminorm.ball.{u4, u3} 𝕜₂ E₂ _inst_4 _inst_5 (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_6)))) p (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_3 _inst_6) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : E) => E₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_3 _inst_6 σ₁₂) f x) r))
+  forall {𝕜 : Type.{u2}} {𝕜₂ : Type.{u4}} {E : Type.{u1}} {E₂ : Type.{u3}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_2 : AddCommGroup.{u1} E] [_inst_3 : Module.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)] [_inst_4 : SeminormedRing.{u4} 𝕜₂] [_inst_5 : AddCommGroup.{u3} E₂] [_inst_6 : Module.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5)] {σ₁₂ : RingHom.{u2, u4} 𝕜 𝕜₂ (Semiring.toNonAssocSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (Semiring.toNonAssocSemiring.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)))} [_inst_7 : RingHomIsometric.{u2, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)) (SeminormedRing.toNorm.{u2} 𝕜 _inst_1) (SeminormedRing.toNorm.{u4} 𝕜₂ _inst_4) σ₁₂] (p : Seminorm.{u4, u3} 𝕜₂ E₂ _inst_4 (AddCommGroup.toAddGroup.{u3} E₂ _inst_5) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_6))))) (f : LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_3 _inst_6) (x : E) (r : Real), Eq.{succ u1} (Set.{u1} E) (Seminorm.ball.{u2, u1} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))) (Seminorm.comp.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ _inst_1 _inst_4 σ₁₂ _inst_7 _inst_2 _inst_5 _inst_3 _inst_6 p f) x r) (Set.preimage.{u1, u3} E E₂ (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_3 _inst_6) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : E) => E₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_3 _inst_6 σ₁₂) f) (Seminorm.ball.{u4, u3} 𝕜₂ E₂ _inst_4 _inst_5 (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_6)))) p (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_3 _inst_6) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : E) => E₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_3 _inst_6 σ₁₂) f x) r))
 Case conversion may be inaccurate. Consider using '#align seminorm.ball_comp Seminorm.ball_compₓ'. -/
 theorem ball_comp (p : Seminorm 𝕜₂ E₂) (f : E →ₛₗ[σ₁₂] E₂) (x : E) (r : ℝ) :
     (p.comp f).ball x r = f ⁻¹' p.ball (f x) r :=
@@ -1251,7 +1251,7 @@ theorem ball_comp (p : Seminorm 𝕜₂ E₂) (f : E →ₛₗ[σ₁₂] E₂) (
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {𝕜₂ : Type.{u2}} {E : Type.{u3}} {E₂ : Type.{u4}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u3} E] [_inst_3 : Module.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)] [_inst_4 : SeminormedRing.{u2} 𝕜₂] [_inst_5 : AddCommGroup.{u4} E₂] [_inst_6 : Module.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_4)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)] {σ₁₂ : RingHom.{u1, u2} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_4)))} [_inst_7 : RingHomIsometric.{u1, u2} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_4)) (SeminormedRing.toHasNorm.{u1} 𝕜 _inst_1) (SeminormedRing.toHasNorm.{u2} 𝕜₂ _inst_4) σ₁₂] (p : Seminorm.{u2, u4} 𝕜₂ E₂ _inst_4 (AddCommGroup.toAddGroup.{u4} E₂ _inst_5) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_4)))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_4))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_4)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_6))))) (f : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_4)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_3 _inst_6) (x : E) (r : Real), Eq.{succ u3} (Set.{u3} E) (Seminorm.closedBall.{u1, u3} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3)))) (Seminorm.comp.{u1, u2, u3, u4} 𝕜 𝕜₂ E E₂ _inst_1 _inst_4 σ₁₂ _inst_7 _inst_2 _inst_5 _inst_3 _inst_6 p f) x r) (Set.preimage.{u3, u4} E E₂ (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_4)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_3 _inst_6) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_4)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_3 _inst_6) => E -> E₂) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜 𝕜₂ E E₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_4)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_3 _inst_6 σ₁₂) f) (Seminorm.closedBall.{u2, u4} 𝕜₂ E₂ _inst_4 _inst_5 (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_4)))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_4))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_4)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_6)))) p (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_4)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_3 _inst_6) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_4)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_3 _inst_6) => E -> E₂) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜 𝕜₂ E E₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_4)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_3 _inst_6 σ₁₂) f x) r))
 but is expected to have type
-  forall {𝕜 : Type.{u2}} {𝕜₂ : Type.{u4}} {E : Type.{u1}} {E₂ : Type.{u3}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_2 : AddCommGroup.{u1} E] [_inst_3 : Module.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)] [_inst_4 : SeminormedRing.{u4} 𝕜₂] [_inst_5 : AddCommGroup.{u3} E₂] [_inst_6 : Module.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5)] {σ₁₂ : RingHom.{u2, u4} 𝕜 𝕜₂ (Semiring.toNonAssocSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (Semiring.toNonAssocSemiring.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)))} [_inst_7 : RingHomIsometric.{u2, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)) (SeminormedRing.toNorm.{u2} 𝕜 _inst_1) (SeminormedRing.toNorm.{u4} 𝕜₂ _inst_4) σ₁₂] (p : Seminorm.{u4, u3} 𝕜₂ E₂ _inst_4 (AddCommGroup.toAddGroup.{u3} E₂ _inst_5) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_6))))) (f : LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_3 _inst_6) (x : E) (r : Real), Eq.{succ u1} (Set.{u1} E) (Seminorm.closedBall.{u2, u1} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))) (Seminorm.comp.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ _inst_1 _inst_4 σ₁₂ _inst_7 _inst_2 _inst_5 _inst_3 _inst_6 p f) x r) (Set.preimage.{u1, u3} E E₂ (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_3 _inst_6) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : E) => E₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_3 _inst_6 σ₁₂) f) (Seminorm.closedBall.{u4, u3} 𝕜₂ E₂ _inst_4 _inst_5 (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_6)))) p (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_3 _inst_6) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : E) => E₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_3 _inst_6 σ₁₂) f x) r))
+  forall {𝕜 : Type.{u2}} {𝕜₂ : Type.{u4}} {E : Type.{u1}} {E₂ : Type.{u3}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_2 : AddCommGroup.{u1} E] [_inst_3 : Module.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)] [_inst_4 : SeminormedRing.{u4} 𝕜₂] [_inst_5 : AddCommGroup.{u3} E₂] [_inst_6 : Module.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5)] {σ₁₂ : RingHom.{u2, u4} 𝕜 𝕜₂ (Semiring.toNonAssocSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (Semiring.toNonAssocSemiring.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)))} [_inst_7 : RingHomIsometric.{u2, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)) (SeminormedRing.toNorm.{u2} 𝕜 _inst_1) (SeminormedRing.toNorm.{u4} 𝕜₂ _inst_4) σ₁₂] (p : Seminorm.{u4, u3} 𝕜₂ E₂ _inst_4 (AddCommGroup.toAddGroup.{u3} E₂ _inst_5) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_6))))) (f : LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_3 _inst_6) (x : E) (r : Real), Eq.{succ u1} (Set.{u1} E) (Seminorm.closedBall.{u2, u1} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))) (Seminorm.comp.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ _inst_1 _inst_4 σ₁₂ _inst_7 _inst_2 _inst_5 _inst_3 _inst_6 p f) x r) (Set.preimage.{u1, u3} E E₂ (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_3 _inst_6) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : E) => E₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_3 _inst_6 σ₁₂) f) (Seminorm.closedBall.{u4, u3} 𝕜₂ E₂ _inst_4 _inst_5 (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_6)))) p (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_3 _inst_6) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : E) => E₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_3 _inst_6 σ₁₂) f x) r))
 Case conversion may be inaccurate. Consider using '#align seminorm.closed_ball_comp Seminorm.closedBall_compₓ'. -/
 theorem closedBall_comp (p : Seminorm 𝕜₂ E₂) (f : E →ₛₗ[σ₁₂] E₂) (x : E) (r : ℝ) :
     (p.comp f).closedBall x r = f ⁻¹' p.closedBall (f x) r :=

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

@@ -430,7 +430,7 @@ def comp (p : Seminorm 𝕜₂ E₂) (f : E →ₛₗ[σ₁₂] E₂) : Seminorm
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {𝕜₂ : Type.{u2}} {E : Type.{u3}} {E₂ : Type.{u4}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : SeminormedRing.{u2} 𝕜₂] {σ₁₂ : RingHom.{u1, u2} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))} [_inst_4 : RingHomIsometric.{u1, u2} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (SeminormedRing.toHasNorm.{u1} 𝕜 _inst_1) (SeminormedRing.toHasNorm.{u2} 𝕜₂ _inst_2) σ₁₂] [_inst_7 : AddCommGroup.{u3} E] [_inst_8 : AddCommGroup.{u4} E₂] [_inst_12 : Module.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)] [_inst_13 : Module.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)] (p : Seminorm.{u2, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))) (f : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_12 _inst_13), Eq.{succ u3} (E -> Real) (coeFn.{succ u3, succ u3} (Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))) (fun (_x : Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))) (Seminorm.comp.{u1, u2, u3, u4} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 p f)) (Function.comp.{succ u3, succ u4, 1} E E₂ Real (coeFn.{succ u4, succ u4} (Seminorm.{u2, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))) (fun (_x : Seminorm.{u2, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))) => E₂ -> Real) (Seminorm.hasCoeToFun.{u2, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))) p) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_12 _inst_13) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_12 _inst_13) => E -> E₂) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜 𝕜₂ E E₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_12 _inst_13 σ₁₂) f))
 but is expected to have type
-  forall {𝕜 : Type.{u2}} {𝕜₂ : Type.{u4}} {E : Type.{u1}} {E₂ : Type.{u3}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_2 : SeminormedRing.{u4} 𝕜₂] {σ₁₂ : RingHom.{u2, u4} 𝕜 𝕜₂ (Semiring.toNonAssocSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (Semiring.toNonAssocSemiring.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))} [_inst_4 : RingHomIsometric.{u2, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (SeminormedRing.toNorm.{u2} 𝕜 _inst_1) (SeminormedRing.toNorm.{u4} 𝕜₂ _inst_2) σ₁₂] [_inst_7 : AddCommGroup.{u1} E] [_inst_8 : AddCommGroup.{u3} E₂] [_inst_12 : Module.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7)] [_inst_13 : Module.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8)] (p : Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) (f : LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_12 _inst_13), Eq.{succ u1} (forall (ᾰ : E), (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) ᾰ) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_7))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) E Real (AddCommGroup.toAddGroup.{u1} E _inst_7) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12)))) (Seminorm.instSeminormClass.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12)))))))) (Seminorm.comp.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 p f)) (Function.comp.{succ u1, succ u3, 1} E E₂ Real (FunLike.coe.{succ u3, succ u3, 1} (Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) E₂ (fun (_x : E₂) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E₂) => Real) _x) (SubadditiveHomClass.toFunLike.{u3, u3, 0} (Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) E₂ Real (AddZeroClass.toAdd.{u3} E₂ (AddMonoid.toAddZeroClass.{u3} E₂ (SubNegMonoid.toAddMonoid.{u3} E₂ (AddGroup.toSubNegMonoid.{u3} E₂ (AddCommGroup.toAddGroup.{u3} E₂ _inst_8))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u3, u3, 0} (Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) E₂ Real (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u3, u4, u3} (Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13)))) (Seminorm.instSeminormClass.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13)))))))) p) (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_12 _inst_13) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : E) => E₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_12 _inst_13 σ₁₂) f))
+  forall {𝕜 : Type.{u2}} {𝕜₂ : Type.{u4}} {E : Type.{u1}} {E₂ : Type.{u3}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_2 : SeminormedRing.{u4} 𝕜₂] {σ₁₂ : RingHom.{u2, u4} 𝕜 𝕜₂ (Semiring.toNonAssocSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (Semiring.toNonAssocSemiring.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))} [_inst_4 : RingHomIsometric.{u2, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (SeminormedRing.toNorm.{u2} 𝕜 _inst_1) (SeminormedRing.toNorm.{u4} 𝕜₂ _inst_2) σ₁₂] [_inst_7 : AddCommGroup.{u1} E] [_inst_8 : AddCommGroup.{u3} E₂] [_inst_12 : Module.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7)] [_inst_13 : Module.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8)] (p : Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) (f : LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_12 _inst_13), Eq.{succ u1} (forall (ᾰ : E), (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) ᾰ) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_7))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) E Real (AddCommGroup.toAddGroup.{u1} E _inst_7) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12)))) (Seminorm.instSeminormClass.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12)))))))) (Seminorm.comp.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 p f)) (Function.comp.{succ u1, succ u3, 1} E E₂ Real (FunLike.coe.{succ u3, succ u3, 1} (Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) E₂ (fun (_x : E₂) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E₂) => Real) _x) (SubadditiveHomClass.toFunLike.{u3, u3, 0} (Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) E₂ Real (AddZeroClass.toAdd.{u3} E₂ (AddMonoid.toAddZeroClass.{u3} E₂ (SubNegMonoid.toAddMonoid.{u3} E₂ (AddGroup.toSubNegMonoid.{u3} E₂ (AddCommGroup.toAddGroup.{u3} E₂ _inst_8))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u3, u3, 0} (Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) E₂ Real (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u3, u4, u3} (Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13)))) (Seminorm.instSeminormClass.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13)))))))) p) (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_12 _inst_13) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : E) => E₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_12 _inst_13 σ₁₂) f))
 Case conversion may be inaccurate. Consider using '#align seminorm.coe_comp Seminorm.coe_compₓ'. -/
 theorem coe_comp (p : Seminorm 𝕜₂ E₂) (f : E →ₛₗ[σ₁₂] E₂) : ⇑(p.comp f) = p ∘ f :=
   rfl
@@ -440,7 +440,7 @@ theorem coe_comp (p : Seminorm 𝕜₂ E₂) (f : E →ₛₗ[σ₁₂] E₂) :
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {𝕜₂ : Type.{u2}} {E : Type.{u3}} {E₂ : Type.{u4}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : SeminormedRing.{u2} 𝕜₂] {σ₁₂ : RingHom.{u1, u2} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))} [_inst_4 : RingHomIsometric.{u1, u2} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (SeminormedRing.toHasNorm.{u1} 𝕜 _inst_1) (SeminormedRing.toHasNorm.{u2} 𝕜₂ _inst_2) σ₁₂] [_inst_7 : AddCommGroup.{u3} E] [_inst_8 : AddCommGroup.{u4} E₂] [_inst_12 : Module.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)] [_inst_13 : Module.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)] (p : Seminorm.{u2, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))) (f : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_12 _inst_13) (x : E), Eq.{1} Real (coeFn.{succ u3, succ u3} (Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))) (fun (_x : Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))) (Seminorm.comp.{u1, u2, u3, u4} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 p f) x) (coeFn.{succ u4, succ u4} (Seminorm.{u2, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))) (fun (_x : Seminorm.{u2, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))) => E₂ -> Real) (Seminorm.hasCoeToFun.{u2, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))) p (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_12 _inst_13) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_12 _inst_13) => E -> E₂) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜 𝕜₂ E E₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_12 _inst_13 σ₁₂) f x))
 but is expected to have type
-  forall {𝕜 : Type.{u2}} {𝕜₂ : Type.{u4}} {E : Type.{u1}} {E₂ : Type.{u3}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_2 : SeminormedRing.{u4} 𝕜₂] {σ₁₂ : RingHom.{u2, u4} 𝕜 𝕜₂ (Semiring.toNonAssocSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (Semiring.toNonAssocSemiring.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))} [_inst_4 : RingHomIsometric.{u2, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (SeminormedRing.toNorm.{u2} 𝕜 _inst_1) (SeminormedRing.toNorm.{u4} 𝕜₂ _inst_2) σ₁₂] [_inst_7 : AddCommGroup.{u1} E] [_inst_8 : AddCommGroup.{u3} E₂] [_inst_12 : Module.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7)] [_inst_13 : Module.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8)] (p : Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) (f : LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_12 _inst_13) (x : E), Eq.{1} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) x) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_7))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) E Real (AddCommGroup.toAddGroup.{u1} E _inst_7) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12)))) (Seminorm.instSeminormClass.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12)))))))) (Seminorm.comp.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 p f) x) (FunLike.coe.{succ u3, succ u3, 1} (Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) E₂ (fun (_x : E₂) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E₂) => Real) _x) (SubadditiveHomClass.toFunLike.{u3, u3, 0} (Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) E₂ Real (AddZeroClass.toAdd.{u3} E₂ (AddMonoid.toAddZeroClass.{u3} E₂ (SubNegMonoid.toAddMonoid.{u3} E₂ (AddGroup.toSubNegMonoid.{u3} E₂ (AddCommGroup.toAddGroup.{u3} E₂ _inst_8))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u3, u3, 0} (Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) E₂ Real (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u3, u4, u3} (Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13)))) (Seminorm.instSeminormClass.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13)))))))) p (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_12 _inst_13) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : E) => E₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_12 _inst_13 σ₁₂) f x))
+  forall {𝕜 : Type.{u2}} {𝕜₂ : Type.{u4}} {E : Type.{u1}} {E₂ : Type.{u3}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_2 : SeminormedRing.{u4} 𝕜₂] {σ₁₂ : RingHom.{u2, u4} 𝕜 𝕜₂ (Semiring.toNonAssocSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (Semiring.toNonAssocSemiring.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))} [_inst_4 : RingHomIsometric.{u2, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (SeminormedRing.toNorm.{u2} 𝕜 _inst_1) (SeminormedRing.toNorm.{u4} 𝕜₂ _inst_2) σ₁₂] [_inst_7 : AddCommGroup.{u1} E] [_inst_8 : AddCommGroup.{u3} E₂] [_inst_12 : Module.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7)] [_inst_13 : Module.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8)] (p : Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) (f : LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_12 _inst_13) (x : E), Eq.{1} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) x) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_7))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) E Real (AddCommGroup.toAddGroup.{u1} E _inst_7) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12)))) (Seminorm.instSeminormClass.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12)))))))) (Seminorm.comp.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 p f) x) (FunLike.coe.{succ u3, succ u3, 1} (Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) E₂ (fun (_x : E₂) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E₂) => Real) _x) (SubadditiveHomClass.toFunLike.{u3, u3, 0} (Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) E₂ Real (AddZeroClass.toAdd.{u3} E₂ (AddMonoid.toAddZeroClass.{u3} E₂ (SubNegMonoid.toAddMonoid.{u3} E₂ (AddGroup.toSubNegMonoid.{u3} E₂ (AddCommGroup.toAddGroup.{u3} E₂ _inst_8))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u3, u3, 0} (Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) E₂ Real (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u3, u4, u3} (Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13)))) (Seminorm.instSeminormClass.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13)))))))) p (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_12 _inst_13) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : E) => E₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_12 _inst_13 σ₁₂) f x))
 Case conversion may be inaccurate. Consider using '#align seminorm.comp_apply Seminorm.comp_applyₓ'. -/
 @[simp]
 theorem comp_apply (p : Seminorm 𝕜₂ E₂) (f : E →ₛₗ[σ₁₂] E₂) (x : E) : (p.comp f) x = p (f x) :=
@@ -683,7 +683,7 @@ theorem comp_smul (p : Seminorm 𝕜₂ E₂) (f : E →ₛₗ[σ₁₂] E₂) (
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {𝕜₂ : Type.{u2}} {E : Type.{u3}} {E₂ : Type.{u4}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : SeminormedCommRing.{u2} 𝕜₂] {σ₁₂ : RingHom.{u1, u2} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))))} [_inst_3 : RingHomIsometric.{u1, u2} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))) (SeminormedRing.toHasNorm.{u1} 𝕜 _inst_1) (SeminormedRing.toHasNorm.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2)) σ₁₂] [_inst_4 : AddCommGroup.{u3} E] [_inst_5 : AddCommGroup.{u4} E₂] [_inst_6 : Module.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)] [_inst_7 : Module.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)] (p : Seminorm.{u2, u4} 𝕜₂ E₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2) (AddCommGroup.toAddGroup.{u4} E₂ _inst_5) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2)))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_7))))) (f : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_4) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_6 _inst_7) (c : 𝕜₂) (x : E), Eq.{1} Real (coeFn.{succ u3, succ u3} (Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_4) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_4) _inst_6))))) (fun (_x : Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_4) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_4) _inst_6))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_4) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_4) _inst_6))))) (Seminorm.comp.{u1, u2, u3, u4} 𝕜 𝕜₂ E E₂ _inst_1 (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2) σ₁₂ _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 p (SMul.smul.{u2, max u3 u4} 𝕜₂ (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_4) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_6 _inst_7) (LinearMap.hasSmul.{u1, u2, u2, u3, u4} 𝕜 𝕜₂ 𝕜₂ E E₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_4) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_6 _inst_7 σ₁₂ (Ring.toMonoid.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))) (Module.toDistribMulAction.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_7) (smulCommClass_self.{u2, u4} 𝕜₂ E₂ (CommRing.toCommMonoid.{u2} 𝕜₂ (SeminormedCommRing.toCommRing.{u2} 𝕜₂ _inst_2)) (MulActionWithZero.toMulAction.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2)))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_7)))) c f)) x) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) (Norm.norm.{u2} 𝕜₂ (SeminormedRing.toHasNorm.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2)) c) (coeFn.{succ u4, succ u4} (Seminorm.{u2, u4} 𝕜₂ E₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2) (AddCommGroup.toAddGroup.{u4} E₂ _inst_5) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2)))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_7))))) (fun (_x : Seminorm.{u2, u4} 𝕜₂ E₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2) (AddCommGroup.toAddGroup.{u4} E₂ _inst_5) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2)))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_7))))) => E₂ -> Real) (Seminorm.hasCoeToFun.{u2, u4} 𝕜₂ E₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2) (AddCommGroup.toAddGroup.{u4} E₂ _inst_5) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2)))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_7))))) p (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_4) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_6 _inst_7) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_4) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_6 _inst_7) => E -> E₂) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜 𝕜₂ E E₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_4) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_6 _inst_7 σ₁₂) f x)))
 but is expected to have type
-  forall {𝕜 : Type.{u2}} {𝕜₂ : Type.{u4}} {E : Type.{u1}} {E₂ : Type.{u3}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_2 : SeminormedCommRing.{u4} 𝕜₂] {σ₁₂ : RingHom.{u2, u4} 𝕜 𝕜₂ (Semiring.toNonAssocSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (Semiring.toNonAssocSemiring.{u4} 𝕜₂ (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))))} [_inst_3 : RingHomIsometric.{u2, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))) (SeminormedRing.toNorm.{u2} 𝕜 _inst_1) (SeminormedRing.toNorm.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2)) σ₁₂] [_inst_4 : AddCommGroup.{u1} E] [_inst_5 : AddCommGroup.{u3} E₂] [_inst_6 : Module.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4)] [_inst_7 : Module.{u4, u3} 𝕜₂ E₂ (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5)] (p : Seminorm.{u4, u3} 𝕜₂ E₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2) (AddCommGroup.toAddGroup.{u3} E₂ _inst_5) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (CommMonoidWithZero.toZero.{u4} 𝕜₂ (CommSemiring.toCommMonoidWithZero.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_7))))) (f : LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_6 _inst_7) (c : 𝕜₂) (x : E), Eq.{1} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) x) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_4) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) _inst_6))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_4) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) _inst_6))))) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_4))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_4) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) _inst_6))))) E Real (AddCommGroup.toAddGroup.{u1} E _inst_4) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_4) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) _inst_6))))) 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_4) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) _inst_6)))) (Seminorm.instSeminormClass.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_4) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) _inst_6)))))))) (Seminorm.comp.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ _inst_1 (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2) σ₁₂ _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 p (HSMul.hSMul.{u4, max u1 u3, max u1 u3} 𝕜₂ (LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_6 _inst_7) (LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_6 _inst_7) (instHSMul.{u4, max u1 u3} 𝕜₂ (LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_6 _inst_7) (LinearMap.instSMulLinearMap.{u2, u4, u4, u1, u3} 𝕜 𝕜₂ 𝕜₂ E E₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_6 _inst_7 σ₁₂ (MonoidWithZero.toMonoid.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))))) (Module.toDistribMulAction.{u4, u3} 𝕜₂ E₂ (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_7) (smulCommClass_self.{u4, u3} 𝕜₂ E₂ (CommRing.toCommMonoid.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2)) (MulActionWithZero.toMulAction.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_7))))) c f)) x) (HMul.hMul.{0, 0, 0} Real ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E₂) => Real) (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_6 _inst_7) E (fun (a : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : E) => E₂) a) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_6 _inst_7 σ₁₂) f x)) Real (instHMul.{0} Real Real.instMulReal) (Norm.norm.{u4} 𝕜₂ (SeminormedRing.toNorm.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2)) c) (FunLike.coe.{succ u3, succ u3, 1} (Seminorm.{u4, u3} 𝕜₂ E₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2) (AddCommGroup.toAddGroup.{u3} E₂ _inst_5) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (CommMonoidWithZero.toZero.{u4} 𝕜₂ (CommSemiring.toCommMonoidWithZero.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_7))))) E₂ (fun (_x : E₂) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E₂) => Real) _x) (SubadditiveHomClass.toFunLike.{u3, u3, 0} (Seminorm.{u4, u3} 𝕜₂ E₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2) (AddCommGroup.toAddGroup.{u3} E₂ _inst_5) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (CommMonoidWithZero.toZero.{u4} 𝕜₂ (CommSemiring.toCommMonoidWithZero.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_7))))) E₂ Real (AddZeroClass.toAdd.{u3} E₂ (AddMonoid.toAddZeroClass.{u3} E₂ (SubNegMonoid.toAddMonoid.{u3} E₂ (AddGroup.toSubNegMonoid.{u3} E₂ (AddCommGroup.toAddGroup.{u3} E₂ _inst_5))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u3, u3, 0} (Seminorm.{u4, u3} 𝕜₂ E₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2) (AddCommGroup.toAddGroup.{u3} E₂ _inst_5) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (CommMonoidWithZero.toZero.{u4} 𝕜₂ (CommSemiring.toCommMonoidWithZero.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_7))))) E₂ Real (AddCommGroup.toAddGroup.{u3} E₂ _inst_5) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u3, u4, u3} (Seminorm.{u4, u3} 𝕜₂ E₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2) (AddCommGroup.toAddGroup.{u3} E₂ _inst_5) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (CommMonoidWithZero.toZero.{u4} 𝕜₂ (CommSemiring.toCommMonoidWithZero.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_7))))) 𝕜₂ E₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2) (AddCommGroup.toAddGroup.{u3} E₂ _inst_5) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (CommMonoidWithZero.toZero.{u4} 𝕜₂ (CommSemiring.toCommMonoidWithZero.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_7)))) (Seminorm.instSeminormClass.{u4, u3} 𝕜₂ E₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2) (AddCommGroup.toAddGroup.{u3} E₂ _inst_5) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (CommMonoidWithZero.toZero.{u4} 𝕜₂ (CommSemiring.toCommMonoidWithZero.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_7)))))))) p (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_6 _inst_7) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : E) => E₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_6 _inst_7 σ₁₂) f x)))
+  forall {𝕜 : Type.{u2}} {𝕜₂ : Type.{u4}} {E : Type.{u1}} {E₂ : Type.{u3}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_2 : SeminormedCommRing.{u4} 𝕜₂] {σ₁₂ : RingHom.{u2, u4} 𝕜 𝕜₂ (Semiring.toNonAssocSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (Semiring.toNonAssocSemiring.{u4} 𝕜₂ (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))))} [_inst_3 : RingHomIsometric.{u2, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))) (SeminormedRing.toNorm.{u2} 𝕜 _inst_1) (SeminormedRing.toNorm.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2)) σ₁₂] [_inst_4 : AddCommGroup.{u1} E] [_inst_5 : AddCommGroup.{u3} E₂] [_inst_6 : Module.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4)] [_inst_7 : Module.{u4, u3} 𝕜₂ E₂ (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5)] (p : Seminorm.{u4, u3} 𝕜₂ E₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2) (AddCommGroup.toAddGroup.{u3} E₂ _inst_5) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (CommMonoidWithZero.toZero.{u4} 𝕜₂ (CommSemiring.toCommMonoidWithZero.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_7))))) (f : LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_6 _inst_7) (c : 𝕜₂) (x : E), Eq.{1} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) x) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_4) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) _inst_6))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_4) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) _inst_6))))) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_4))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_4) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) _inst_6))))) E Real (AddCommGroup.toAddGroup.{u1} E _inst_4) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_4) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) _inst_6))))) 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_4) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) _inst_6)))) (Seminorm.instSeminormClass.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_4) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) _inst_6)))))))) (Seminorm.comp.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ _inst_1 (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2) σ₁₂ _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 p (HSMul.hSMul.{u4, max u1 u3, max u1 u3} 𝕜₂ (LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_6 _inst_7) (LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_6 _inst_7) (instHSMul.{u4, max u1 u3} 𝕜₂ (LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_6 _inst_7) (LinearMap.instSMulLinearMap.{u2, u4, u4, u1, u3} 𝕜 𝕜₂ 𝕜₂ E E₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_6 _inst_7 σ₁₂ (MonoidWithZero.toMonoid.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))))) (Module.toDistribMulAction.{u4, u3} 𝕜₂ E₂ (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_7) (smulCommClass_self.{u4, u3} 𝕜₂ E₂ (CommRing.toCommMonoid.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2)) (MulActionWithZero.toMulAction.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_7))))) c f)) x) (HMul.hMul.{0, 0, 0} Real ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E₂) => Real) (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_6 _inst_7) E (fun (a : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : E) => E₂) a) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_6 _inst_7 σ₁₂) f x)) Real (instHMul.{0} Real Real.instMulReal) (Norm.norm.{u4} 𝕜₂ (SeminormedRing.toNorm.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2)) c) (FunLike.coe.{succ u3, succ u3, 1} (Seminorm.{u4, u3} 𝕜₂ E₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2) (AddCommGroup.toAddGroup.{u3} E₂ _inst_5) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (CommMonoidWithZero.toZero.{u4} 𝕜₂ (CommSemiring.toCommMonoidWithZero.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_7))))) E₂ (fun (_x : E₂) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E₂) => Real) _x) (SubadditiveHomClass.toFunLike.{u3, u3, 0} (Seminorm.{u4, u3} 𝕜₂ E₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2) (AddCommGroup.toAddGroup.{u3} E₂ _inst_5) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (CommMonoidWithZero.toZero.{u4} 𝕜₂ (CommSemiring.toCommMonoidWithZero.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_7))))) E₂ Real (AddZeroClass.toAdd.{u3} E₂ (AddMonoid.toAddZeroClass.{u3} E₂ (SubNegMonoid.toAddMonoid.{u3} E₂ (AddGroup.toSubNegMonoid.{u3} E₂ (AddCommGroup.toAddGroup.{u3} E₂ _inst_5))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u3, u3, 0} (Seminorm.{u4, u3} 𝕜₂ E₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2) (AddCommGroup.toAddGroup.{u3} E₂ _inst_5) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (CommMonoidWithZero.toZero.{u4} 𝕜₂ (CommSemiring.toCommMonoidWithZero.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_7))))) E₂ Real (AddCommGroup.toAddGroup.{u3} E₂ _inst_5) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u3, u4, u3} (Seminorm.{u4, u3} 𝕜₂ E₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2) (AddCommGroup.toAddGroup.{u3} E₂ _inst_5) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (CommMonoidWithZero.toZero.{u4} 𝕜₂ (CommSemiring.toCommMonoidWithZero.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_7))))) 𝕜₂ E₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2) (AddCommGroup.toAddGroup.{u3} E₂ _inst_5) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (CommMonoidWithZero.toZero.{u4} 𝕜₂ (CommSemiring.toCommMonoidWithZero.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_7)))) (Seminorm.instSeminormClass.{u4, u3} 𝕜₂ E₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2) (AddCommGroup.toAddGroup.{u3} E₂ _inst_5) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (CommMonoidWithZero.toZero.{u4} 𝕜₂ (CommSemiring.toCommMonoidWithZero.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_7)))))))) p (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_6 _inst_7) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : E) => E₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_6 _inst_7 σ₁₂) f x)))
 Case conversion may be inaccurate. Consider using '#align seminorm.comp_smul_apply Seminorm.comp_smul_applyₓ'. -/
 theorem comp_smul_apply (p : Seminorm 𝕜₂ E₂) (f : E →ₛₗ[σ₁₂] E₂) (c : 𝕜₂) (x : E) :
     p.comp (c • f) x = ‖c‖ * p (f x) :=
@@ -1238,7 +1238,7 @@ variable {σ₁₂ : 𝕜 →+* 𝕜₂} [RingHomIsometric σ₁₂]
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {𝕜₂ : Type.{u2}} {E : Type.{u3}} {E₂ : Type.{u4}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u3} E] [_inst_3 : Module.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)] [_inst_4 : SeminormedRing.{u2} 𝕜₂] [_inst_5 : AddCommGroup.{u4} E₂] [_inst_6 : Module.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_4)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)] {σ₁₂ : RingHom.{u1, u2} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_4)))} [_inst_7 : RingHomIsometric.{u1, u2} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_4)) (SeminormedRing.toHasNorm.{u1} 𝕜 _inst_1) (SeminormedRing.toHasNorm.{u2} 𝕜₂ _inst_4) σ₁₂] (p : Seminorm.{u2, u4} 𝕜₂ E₂ _inst_4 (AddCommGroup.toAddGroup.{u4} E₂ _inst_5) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_4)))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_4))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_4)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_6))))) (f : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_4)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_3 _inst_6) (x : E) (r : Real), Eq.{succ u3} (Set.{u3} E) (Seminorm.ball.{u1, u3} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3)))) (Seminorm.comp.{u1, u2, u3, u4} 𝕜 𝕜₂ E E₂ _inst_1 _inst_4 σ₁₂ _inst_7 _inst_2 _inst_5 _inst_3 _inst_6 p f) x r) (Set.preimage.{u3, u4} E E₂ (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_4)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_3 _inst_6) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_4)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_3 _inst_6) => E -> E₂) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜 𝕜₂ E E₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_4)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_3 _inst_6 σ₁₂) f) (Seminorm.ball.{u2, u4} 𝕜₂ E₂ _inst_4 _inst_5 (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_4)))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_4))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_4)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_6)))) p (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_4)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_3 _inst_6) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_4)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_3 _inst_6) => E -> E₂) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜 𝕜₂ E E₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_4)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_3 _inst_6 σ₁₂) f x) r))
 but is expected to have type
-  forall {𝕜 : Type.{u2}} {𝕜₂ : Type.{u4}} {E : Type.{u1}} {E₂ : Type.{u3}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_2 : AddCommGroup.{u1} E] [_inst_3 : Module.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)] [_inst_4 : SeminormedRing.{u4} 𝕜₂] [_inst_5 : AddCommGroup.{u3} E₂] [_inst_6 : Module.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5)] {σ₁₂ : RingHom.{u2, u4} 𝕜 𝕜₂ (Semiring.toNonAssocSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (Semiring.toNonAssocSemiring.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)))} [_inst_7 : RingHomIsometric.{u2, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)) (SeminormedRing.toNorm.{u2} 𝕜 _inst_1) (SeminormedRing.toNorm.{u4} 𝕜₂ _inst_4) σ₁₂] (p : Seminorm.{u4, u3} 𝕜₂ E₂ _inst_4 (AddCommGroup.toAddGroup.{u3} E₂ _inst_5) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_6))))) (f : LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_3 _inst_6) (x : E) (r : Real), Eq.{succ u1} (Set.{u1} E) (Seminorm.ball.{u2, u1} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))) (Seminorm.comp.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ _inst_1 _inst_4 σ₁₂ _inst_7 _inst_2 _inst_5 _inst_3 _inst_6 p f) x r) (Set.preimage.{u1, u3} E E₂ (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_3 _inst_6) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : E) => E₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_3 _inst_6 σ₁₂) f) (Seminorm.ball.{u4, u3} 𝕜₂ E₂ _inst_4 _inst_5 (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_6)))) p (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_3 _inst_6) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : E) => E₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_3 _inst_6 σ₁₂) f x) r))
+  forall {𝕜 : Type.{u2}} {𝕜₂ : Type.{u4}} {E : Type.{u1}} {E₂ : Type.{u3}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_2 : AddCommGroup.{u1} E] [_inst_3 : Module.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)] [_inst_4 : SeminormedRing.{u4} 𝕜₂] [_inst_5 : AddCommGroup.{u3} E₂] [_inst_6 : Module.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5)] {σ₁₂ : RingHom.{u2, u4} 𝕜 𝕜₂ (Semiring.toNonAssocSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (Semiring.toNonAssocSemiring.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)))} [_inst_7 : RingHomIsometric.{u2, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)) (SeminormedRing.toNorm.{u2} 𝕜 _inst_1) (SeminormedRing.toNorm.{u4} 𝕜₂ _inst_4) σ₁₂] (p : Seminorm.{u4, u3} 𝕜₂ E₂ _inst_4 (AddCommGroup.toAddGroup.{u3} E₂ _inst_5) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_6))))) (f : LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_3 _inst_6) (x : E) (r : Real), Eq.{succ u1} (Set.{u1} E) (Seminorm.ball.{u2, u1} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))) (Seminorm.comp.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ _inst_1 _inst_4 σ₁₂ _inst_7 _inst_2 _inst_5 _inst_3 _inst_6 p f) x r) (Set.preimage.{u1, u3} E E₂ (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_3 _inst_6) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : E) => E₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_3 _inst_6 σ₁₂) f) (Seminorm.ball.{u4, u3} 𝕜₂ E₂ _inst_4 _inst_5 (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_6)))) p (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_3 _inst_6) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : E) => E₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_3 _inst_6 σ₁₂) f x) r))
 Case conversion may be inaccurate. Consider using '#align seminorm.ball_comp Seminorm.ball_compₓ'. -/
 theorem ball_comp (p : Seminorm 𝕜₂ E₂) (f : E →ₛₗ[σ₁₂] E₂) (x : E) (r : ℝ) :
     (p.comp f).ball x r = f ⁻¹' p.ball (f x) r :=
@@ -1251,7 +1251,7 @@ theorem ball_comp (p : Seminorm 𝕜₂ E₂) (f : E →ₛₗ[σ₁₂] E₂) (
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {𝕜₂ : Type.{u2}} {E : Type.{u3}} {E₂ : Type.{u4}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u3} E] [_inst_3 : Module.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)] [_inst_4 : SeminormedRing.{u2} 𝕜₂] [_inst_5 : AddCommGroup.{u4} E₂] [_inst_6 : Module.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_4)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)] {σ₁₂ : RingHom.{u1, u2} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_4)))} [_inst_7 : RingHomIsometric.{u1, u2} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_4)) (SeminormedRing.toHasNorm.{u1} 𝕜 _inst_1) (SeminormedRing.toHasNorm.{u2} 𝕜₂ _inst_4) σ₁₂] (p : Seminorm.{u2, u4} 𝕜₂ E₂ _inst_4 (AddCommGroup.toAddGroup.{u4} E₂ _inst_5) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_4)))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_4))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_4)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_6))))) (f : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_4)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_3 _inst_6) (x : E) (r : Real), Eq.{succ u3} (Set.{u3} E) (Seminorm.closedBall.{u1, u3} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3)))) (Seminorm.comp.{u1, u2, u3, u4} 𝕜 𝕜₂ E E₂ _inst_1 _inst_4 σ₁₂ _inst_7 _inst_2 _inst_5 _inst_3 _inst_6 p f) x r) (Set.preimage.{u3, u4} E E₂ (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_4)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_3 _inst_6) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_4)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_3 _inst_6) => E -> E₂) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜 𝕜₂ E E₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_4)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_3 _inst_6 σ₁₂) f) (Seminorm.closedBall.{u2, u4} 𝕜₂ E₂ _inst_4 _inst_5 (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_4)))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_4))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_4)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_6)))) p (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_4)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_3 _inst_6) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_4)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_3 _inst_6) => E -> E₂) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜 𝕜₂ E E₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_4)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_3 _inst_6 σ₁₂) f x) r))
 but is expected to have type
-  forall {𝕜 : Type.{u2}} {𝕜₂ : Type.{u4}} {E : Type.{u1}} {E₂ : Type.{u3}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_2 : AddCommGroup.{u1} E] [_inst_3 : Module.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)] [_inst_4 : SeminormedRing.{u4} 𝕜₂] [_inst_5 : AddCommGroup.{u3} E₂] [_inst_6 : Module.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5)] {σ₁₂ : RingHom.{u2, u4} 𝕜 𝕜₂ (Semiring.toNonAssocSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (Semiring.toNonAssocSemiring.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)))} [_inst_7 : RingHomIsometric.{u2, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)) (SeminormedRing.toNorm.{u2} 𝕜 _inst_1) (SeminormedRing.toNorm.{u4} 𝕜₂ _inst_4) σ₁₂] (p : Seminorm.{u4, u3} 𝕜₂ E₂ _inst_4 (AddCommGroup.toAddGroup.{u3} E₂ _inst_5) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_6))))) (f : LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_3 _inst_6) (x : E) (r : Real), Eq.{succ u1} (Set.{u1} E) (Seminorm.closedBall.{u2, u1} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))) (Seminorm.comp.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ _inst_1 _inst_4 σ₁₂ _inst_7 _inst_2 _inst_5 _inst_3 _inst_6 p f) x r) (Set.preimage.{u1, u3} E E₂ (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_3 _inst_6) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : E) => E₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_3 _inst_6 σ₁₂) f) (Seminorm.closedBall.{u4, u3} 𝕜₂ E₂ _inst_4 _inst_5 (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_6)))) p (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_3 _inst_6) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : E) => E₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_3 _inst_6 σ₁₂) f x) r))
+  forall {𝕜 : Type.{u2}} {𝕜₂ : Type.{u4}} {E : Type.{u1}} {E₂ : Type.{u3}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_2 : AddCommGroup.{u1} E] [_inst_3 : Module.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)] [_inst_4 : SeminormedRing.{u4} 𝕜₂] [_inst_5 : AddCommGroup.{u3} E₂] [_inst_6 : Module.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5)] {σ₁₂ : RingHom.{u2, u4} 𝕜 𝕜₂ (Semiring.toNonAssocSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (Semiring.toNonAssocSemiring.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)))} [_inst_7 : RingHomIsometric.{u2, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)) (SeminormedRing.toNorm.{u2} 𝕜 _inst_1) (SeminormedRing.toNorm.{u4} 𝕜₂ _inst_4) σ₁₂] (p : Seminorm.{u4, u3} 𝕜₂ E₂ _inst_4 (AddCommGroup.toAddGroup.{u3} E₂ _inst_5) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_6))))) (f : LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_3 _inst_6) (x : E) (r : Real), Eq.{succ u1} (Set.{u1} E) (Seminorm.closedBall.{u2, u1} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))) (Seminorm.comp.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ _inst_1 _inst_4 σ₁₂ _inst_7 _inst_2 _inst_5 _inst_3 _inst_6 p f) x r) (Set.preimage.{u1, u3} E E₂ (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_3 _inst_6) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : E) => E₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_3 _inst_6 σ₁₂) f) (Seminorm.closedBall.{u4, u3} 𝕜₂ E₂ _inst_4 _inst_5 (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_6)))) p (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_3 _inst_6) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : E) => E₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_3 _inst_6 σ₁₂) f x) r))
 Case conversion may be inaccurate. Consider using '#align seminorm.closed_ball_comp Seminorm.closedBall_compₓ'. -/
 theorem closedBall_comp (p : Seminorm 𝕜₂ E₂) (f : E →ₛₗ[σ₁₂] E₂) (x : E) (r : ℝ) :
     (p.comp f).closedBall x r = f ⁻¹' p.closedBall (f x) r :=

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

@@ -94,15 +94,15 @@ def Seminorm.of [SeminormedRing 𝕜] [AddCommGroup E] [Module 𝕜 E] (f : E 
   neg' x := by rw [← neg_one_smul 𝕜, smul, norm_neg, ← smul, one_smul]
 #align seminorm.of Seminorm.of
 
-/- warning: seminorm.of_smul_le -> Seminorm.ofSMulLe is a dubious translation:
+/- warning: seminorm.of_smul_le -> Seminorm.ofSMulLE is a dubious translation:
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (f : E -> Real), (Eq.{1} Real (f (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))))))))) (OfNat.ofNat.{0} Real 0 (OfNat.mk.{0} Real 0 (Zero.zero.{0} Real Real.hasZero)))) -> (forall (x : E) (y : E), LE.le.{0} Real Real.hasLe (f (HAdd.hAdd.{u2, u2, u2} E E E (instHAdd.{u2} E (AddZeroClass.toHasAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)))))) x y)) (HAdd.hAdd.{0, 0, 0} Real Real Real (instHAdd.{0} Real Real.hasAdd) (f x) (f y))) -> (forall (r : 𝕜) (x : E), LE.le.{0} Real Real.hasLe (f (SMul.smul.{u1, u2} 𝕜 E (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) r x)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) (Norm.norm.{u1} 𝕜 (NormedField.toHasNorm.{u1} 𝕜 _inst_1) r) (f x))) -> (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))
 but is expected to have type
   forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (f : E -> Real), (Eq.{1} Real (f (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2)))))))) (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal))) -> (forall (x : E) (y : E), LE.le.{0} Real Real.instLEReal (f (HAdd.hAdd.{u2, u2, u2} E E E (instHAdd.{u2} E (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)))))) x y)) (HAdd.hAdd.{0, 0, 0} Real Real Real (instHAdd.{0} Real Real.instAddReal) (f x) (f y))) -> (forall (r : 𝕜) (x : E), LE.le.{0} Real Real.instLEReal (f (HSMul.hSMul.{u1, u2, u2} 𝕜 E E (instHSMul.{u1, u2} 𝕜 E (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) r x)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (Norm.norm.{u1} 𝕜 (NormedField.toNorm.{u1} 𝕜 _inst_1) r) (f x))) -> (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))
-Case conversion may be inaccurate. Consider using '#align seminorm.of_smul_le Seminorm.ofSMulLeₓ'. -/
+Case conversion may be inaccurate. Consider using '#align seminorm.of_smul_le Seminorm.ofSMulLEₓ'. -/
 /-- Alternative constructor for a `seminorm` over a normed field `𝕜` that only assumes `f 0 = 0`
 and an inequality for the scalar multiplication. -/
-def Seminorm.ofSMulLe [NormedField 𝕜] [AddCommGroup E] [Module 𝕜 E] (f : E → ℝ) (map_zero : f 0 = 0)
+def Seminorm.ofSMulLE [NormedField 𝕜] [AddCommGroup E] [Module 𝕜 E] (f : E → ℝ) (map_zero : f 0 = 0)
     (add_le : ∀ x y, f (x + y) ≤ f x + f y) (smul_le : ∀ (r : 𝕜) (x), f (r • x) ≤ ‖r‖ * f x) :
     Seminorm 𝕜 E :=
   Seminorm.of f add_le fun r x =>
@@ -116,7 +116,7 @@ def Seminorm.ofSMulLe [NormedField 𝕜] [AddCommGroup E] [Module 𝕜 E] (f : E
     rw [norm_inv] at smul_le
     convert smul_le
     simp [h]
-#align seminorm.of_smul_le Seminorm.ofSMulLe
+#align seminorm.of_smul_le Seminorm.ofSMulLE
 
 end Of
 
@@ -154,7 +154,7 @@ instance : CoeFun (Seminorm 𝕜 E) fun _ => E → ℝ :=
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddGroup.{u2} E] [_inst_3 : SMul.{u1, u2} 𝕜 E] {p : Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3} {q : Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3}, (forall (x : E), Eq.{1} Real (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (fun (_x : Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) p x) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (fun (_x : Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) q x)) -> (Eq.{succ u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) p q)
 but is expected to have type
-  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_2 : AddGroup.{u1} E] [_inst_3 : SMul.{u2, u1} 𝕜 E] {p : Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3} {q : Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3}, (forall (x : E), Eq.{1} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) x) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E _inst_2)))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real _inst_2 Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) 𝕜 E _inst_1 _inst_2 _inst_3 (Seminorm.instSeminormClass.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)))) p x) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E _inst_2)))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real _inst_2 Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) 𝕜 E _inst_1 _inst_2 _inst_3 (Seminorm.instSeminormClass.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)))) q x)) -> (Eq.{succ u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) p q)
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_2 : AddGroup.{u1} E] [_inst_3 : SMul.{u2, u1} 𝕜 E] {p : Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3} {q : Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3}, (forall (x : E), Eq.{1} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) x) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E _inst_2)))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real _inst_2 Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) 𝕜 E _inst_1 _inst_2 _inst_3 (Seminorm.instSeminormClass.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)))) p x) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E _inst_2)))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real _inst_2 Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) 𝕜 E _inst_1 _inst_2 _inst_3 (Seminorm.instSeminormClass.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)))) q x)) -> (Eq.{succ u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) p q)
 Case conversion may be inaccurate. Consider using '#align seminorm.ext Seminorm.extₓ'. -/
 @[ext]
 theorem ext {p q : Seminorm 𝕜 E} (h : ∀ x, (p : E → ℝ) x = q x) : p = q :=
@@ -168,7 +168,7 @@ instance : Zero (Seminorm 𝕜 E) :=
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddGroup.{u2} E] [_inst_3 : SMul.{u1, u2} 𝕜 E], Eq.{succ u2} (E -> Real) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (fun (_x : Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (OfNat.ofNat.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) 0 (OfNat.mk.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) 0 (Zero.zero.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.hasZero.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))))) (OfNat.ofNat.{u2} (E -> Real) 0 (OfNat.mk.{u2} (E -> Real) 0 (Zero.zero.{u2} (E -> Real) (Pi.instZero.{u2, 0} E (fun (ᾰ : E) => Real) (fun (i : E) => Real.hasZero)))))
 but is expected to have type
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddGroup.{u2} E] [_inst_3 : SMul.{u1, u2} 𝕜 E], Eq.{succ u2} (forall (ᾰ : E), (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) ᾰ) (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E _inst_2)))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) E Real _inst_2 Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) 𝕜 E _inst_1 _inst_2 _inst_3 (Seminorm.instSeminormClass.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)))) (OfNat.ofNat.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) 0 (Zero.toOfNat0.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.instZero.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)))) (OfNat.ofNat.{u2} (forall (ᾰ : E), (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) ᾰ) 0 (Zero.toOfNat0.{u2} (forall (a : E), (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) a) (Pi.instZero.{u2, 0} E (fun (a : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) a) (fun (i : E) => Real.instZeroReal))))
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddGroup.{u2} E] [_inst_3 : SMul.{u1, u2} 𝕜 E], Eq.{succ u2} (forall (ᾰ : E), (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) ᾰ) (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E _inst_2)))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) E Real _inst_2 Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) 𝕜 E _inst_1 _inst_2 _inst_3 (Seminorm.instSeminormClass.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)))) (OfNat.ofNat.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) 0 (Zero.toOfNat0.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.instZero.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)))) (OfNat.ofNat.{u2} (forall (ᾰ : E), (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) ᾰ) 0 (Zero.toOfNat0.{u2} (forall (a : E), (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) a) (Pi.instZero.{u2, 0} E (fun (a : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) a) (fun (i : E) => Real.instZeroReal))))
 Case conversion may be inaccurate. Consider using '#align seminorm.coe_zero Seminorm.coe_zeroₓ'. -/
 @[simp]
 theorem coe_zero : ⇑(0 : Seminorm 𝕜 E) = 0 :=
@@ -179,7 +179,7 @@ theorem coe_zero : ⇑(0 : Seminorm 𝕜 E) = 0 :=
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddGroup.{u2} E] [_inst_3 : SMul.{u1, u2} 𝕜 E] (x : E), Eq.{1} Real (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (fun (_x : Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (OfNat.ofNat.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) 0 (OfNat.mk.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) 0 (Zero.zero.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.hasZero.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)))) x) (OfNat.ofNat.{0} Real 0 (OfNat.mk.{0} Real 0 (Zero.zero.{0} Real Real.hasZero)))
 but is expected to have type
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddGroup.{u2} E] [_inst_3 : SMul.{u1, u2} 𝕜 E] (x : E), Eq.{1} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) x) (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E _inst_2)))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) E Real _inst_2 Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) 𝕜 E _inst_1 _inst_2 _inst_3 (Seminorm.instSeminormClass.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)))) (OfNat.ofNat.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) 0 (Zero.toOfNat0.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.instZero.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) x) (OfNat.ofNat.{0} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) x) 0 (Zero.toOfNat0.{0} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) x) Real.instZeroReal))
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddGroup.{u2} E] [_inst_3 : SMul.{u1, u2} 𝕜 E] (x : E), Eq.{1} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) x) (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E _inst_2)))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) E Real _inst_2 Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) 𝕜 E _inst_1 _inst_2 _inst_3 (Seminorm.instSeminormClass.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)))) (OfNat.ofNat.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) 0 (Zero.toOfNat0.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.instZero.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) x) (OfNat.ofNat.{0} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) x) 0 (Zero.toOfNat0.{0} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) x) Real.instZeroReal))
 Case conversion may be inaccurate. Consider using '#align seminorm.zero_apply Seminorm.zero_applyₓ'. -/
 @[simp]
 theorem zero_apply (x : E) : (0 : Seminorm 𝕜 E) x = 0 :=
@@ -209,7 +209,7 @@ instance [SMul R ℝ] [SMul R ℝ≥0] [IsScalarTower R ℝ≥0 ℝ] [SMul R' 
 lean 3 declaration is
   forall {R : Type.{u1}} {𝕜 : Type.{u2}} {E : Type.{u3}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_2 : AddGroup.{u3} E] [_inst_3 : SMul.{u2, u3} 𝕜 E] [_inst_4 : SMul.{u1, 0} R Real] [_inst_5 : SMul.{u1, 0} R NNReal] [_inst_6 : IsScalarTower.{u1, 0, 0} R NNReal Real _inst_5 (SMulZeroClass.toHasSmul.{0, 0} NNReal Real (AddZeroClass.toHasZero.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real Real.addCommMonoid))) (SMulWithZero.toSmulZeroClass.{0, 0} NNReal Real (MulZeroClass.toHasZero.{0} NNReal (MulZeroOneClass.toMulZeroClass.{0} NNReal (MonoidWithZero.toMulZeroOneClass.{0} NNReal (Semiring.toMonoidWithZero.{0} NNReal NNReal.semiring)))) (AddZeroClass.toHasZero.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real Real.addCommMonoid))) (MulActionWithZero.toSMulWithZero.{0, 0} NNReal Real (Semiring.toMonoidWithZero.{0} NNReal NNReal.semiring) (AddZeroClass.toHasZero.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real Real.addCommMonoid))) (Module.toMulActionWithZero.{0, 0} NNReal Real NNReal.semiring Real.addCommMonoid (NNReal.module.{0} Real Real.addCommMonoid Real.module))))) _inst_4] (r : R) (p : Seminorm.{u2, u3} 𝕜 E _inst_1 _inst_2 _inst_3), Eq.{succ u3} (E -> Real) (coeFn.{succ u3, succ u3} (Seminorm.{u2, u3} 𝕜 E _inst_1 _inst_2 _inst_3) (fun (_x : Seminorm.{u2, u3} 𝕜 E _inst_1 _inst_2 _inst_3) => E -> Real) (Seminorm.hasCoeToFun.{u2, u3} 𝕜 E _inst_1 _inst_2 _inst_3) (SMul.smul.{u1, u3} R (Seminorm.{u2, u3} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.hasSmul.{u1, u2, u3} R 𝕜 E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6) r p)) (SMul.smul.{u1, u3} R (E -> Real) (Function.hasSMul.{u3, u1, 0} E R Real _inst_4) r (coeFn.{succ u3, succ u3} (Seminorm.{u2, u3} 𝕜 E _inst_1 _inst_2 _inst_3) (fun (_x : Seminorm.{u2, u3} 𝕜 E _inst_1 _inst_2 _inst_3) => E -> Real) (Seminorm.hasCoeToFun.{u2, u3} 𝕜 E _inst_1 _inst_2 _inst_3) p))
 but is expected to have type
-  forall {R : Type.{u3}} {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_2 : AddGroup.{u1} E] [_inst_3 : SMul.{u2, u1} 𝕜 E] [_inst_4 : SMul.{u3, 0} R Real] [_inst_5 : SMul.{u3, 0} R NNReal] [_inst_6 : IsScalarTower.{u3, 0, 0} R NNReal Real _inst_5 (Algebra.toSMul.{0, 0} NNReal Real instNNRealCommSemiring Real.semiring (NNReal.instAlgebraNNRealInstNNRealCommSemiring.{0} Real Real.semiring (NormedAlgebra.toAlgebra.{0, 0} Real Real Real.normedField (SeminormedCommRing.toSeminormedRing.{0} Real (NormedCommRing.toSeminormedCommRing.{0} Real Real.normedCommRing)) (NormedAlgebra.id.{0} Real Real.normedField)))) _inst_4] (r : R) (p : Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3), Eq.{succ u1} (forall (ᾰ : E), (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) ᾰ) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E _inst_2)))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real _inst_2 Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) 𝕜 E _inst_1 _inst_2 _inst_3 (Seminorm.instSeminormClass.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)))) (HSMul.hSMul.{u3, u1, u1} R (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (instHSMul.{u3, u1} R (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.instSMul.{u3, u2, u1} R 𝕜 E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6)) r p)) (HSMul.hSMul.{u3, u1, u1} R (forall (a : E), (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) a) (forall (ᾰ : E), (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) ᾰ) (instHSMul.{u3, u1} R (forall (a : E), (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) a) (Pi.instSMul.{u1, 0, u3} E R (fun (a : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) a) (fun (i : E) => _inst_4))) r (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E _inst_2)))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real _inst_2 Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) 𝕜 E _inst_1 _inst_2 _inst_3 (Seminorm.instSeminormClass.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)))) p))
+  forall {R : Type.{u3}} {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_2 : AddGroup.{u1} E] [_inst_3 : SMul.{u2, u1} 𝕜 E] [_inst_4 : SMul.{u3, 0} R Real] [_inst_5 : SMul.{u3, 0} R NNReal] [_inst_6 : IsScalarTower.{u3, 0, 0} R NNReal Real _inst_5 (Algebra.toSMul.{0, 0} NNReal Real instNNRealCommSemiring Real.semiring (NNReal.instAlgebraNNRealInstNNRealCommSemiring.{0} Real Real.semiring (NormedAlgebra.toAlgebra.{0, 0} Real Real Real.normedField (SeminormedCommRing.toSeminormedRing.{0} Real (NormedCommRing.toSeminormedCommRing.{0} Real Real.normedCommRing)) (NormedAlgebra.id.{0} Real Real.normedField)))) _inst_4] (r : R) (p : Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3), Eq.{succ u1} (forall (ᾰ : E), (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) ᾰ) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E _inst_2)))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real _inst_2 Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) 𝕜 E _inst_1 _inst_2 _inst_3 (Seminorm.instSeminormClass.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)))) (HSMul.hSMul.{u3, u1, u1} R (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (instHSMul.{u3, u1} R (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.instSMul.{u3, u2, u1} R 𝕜 E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6)) r p)) (HSMul.hSMul.{u3, u1, u1} R (forall (a : E), (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) a) (forall (ᾰ : E), (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) ᾰ) (instHSMul.{u3, u1} R (forall (a : E), (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) a) (Pi.instSMul.{u1, 0, u3} E R (fun (a : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) a) (fun (i : E) => _inst_4))) r (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E _inst_2)))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real _inst_2 Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) 𝕜 E _inst_1 _inst_2 _inst_3 (Seminorm.instSeminormClass.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)))) p))
 Case conversion may be inaccurate. Consider using '#align seminorm.coe_smul Seminorm.coe_smulₓ'. -/
 theorem coe_smul [SMul R ℝ] [SMul R ℝ≥0] [IsScalarTower R ℝ≥0 ℝ] (r : R) (p : Seminorm 𝕜 E) :
     ⇑(r • p) = r • p :=
@@ -220,7 +220,7 @@ theorem coe_smul [SMul R ℝ] [SMul R ℝ≥0] [IsScalarTower R ℝ≥0 ℝ] (r
 lean 3 declaration is
   forall {R : Type.{u1}} {𝕜 : Type.{u2}} {E : Type.{u3}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_2 : AddGroup.{u3} E] [_inst_3 : SMul.{u2, u3} 𝕜 E] [_inst_4 : SMul.{u1, 0} R Real] [_inst_5 : SMul.{u1, 0} R NNReal] [_inst_6 : IsScalarTower.{u1, 0, 0} R NNReal Real _inst_5 (SMulZeroClass.toHasSmul.{0, 0} NNReal Real (AddZeroClass.toHasZero.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real Real.addCommMonoid))) (SMulWithZero.toSmulZeroClass.{0, 0} NNReal Real (MulZeroClass.toHasZero.{0} NNReal (MulZeroOneClass.toMulZeroClass.{0} NNReal (MonoidWithZero.toMulZeroOneClass.{0} NNReal (Semiring.toMonoidWithZero.{0} NNReal NNReal.semiring)))) (AddZeroClass.toHasZero.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real Real.addCommMonoid))) (MulActionWithZero.toSMulWithZero.{0, 0} NNReal Real (Semiring.toMonoidWithZero.{0} NNReal NNReal.semiring) (AddZeroClass.toHasZero.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real Real.addCommMonoid))) (Module.toMulActionWithZero.{0, 0} NNReal Real NNReal.semiring Real.addCommMonoid (NNReal.module.{0} Real Real.addCommMonoid Real.module))))) _inst_4] (r : R) (p : Seminorm.{u2, u3} 𝕜 E _inst_1 _inst_2 _inst_3) (x : E), Eq.{1} Real (coeFn.{succ u3, succ u3} (Seminorm.{u2, u3} 𝕜 E _inst_1 _inst_2 _inst_3) (fun (_x : Seminorm.{u2, u3} 𝕜 E _inst_1 _inst_2 _inst_3) => E -> Real) (Seminorm.hasCoeToFun.{u2, u3} 𝕜 E _inst_1 _inst_2 _inst_3) (SMul.smul.{u1, u3} R (Seminorm.{u2, u3} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.hasSmul.{u1, u2, u3} R 𝕜 E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6) r p) x) (SMul.smul.{u1, 0} R Real _inst_4 r (coeFn.{succ u3, succ u3} (Seminorm.{u2, u3} 𝕜 E _inst_1 _inst_2 _inst_3) (fun (_x : Seminorm.{u2, u3} 𝕜 E _inst_1 _inst_2 _inst_3) => E -> Real) (Seminorm.hasCoeToFun.{u2, u3} 𝕜 E _inst_1 _inst_2 _inst_3) p x))
 but is expected to have type
-  forall {R : Type.{u3}} {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_2 : AddGroup.{u1} E] [_inst_3 : SMul.{u2, u1} 𝕜 E] [_inst_4 : SMul.{u3, 0} R Real] [_inst_5 : SMul.{u3, 0} R NNReal] [_inst_6 : IsScalarTower.{u3, 0, 0} R NNReal Real _inst_5 (Algebra.toSMul.{0, 0} NNReal Real instNNRealCommSemiring Real.semiring (NNReal.instAlgebraNNRealInstNNRealCommSemiring.{0} Real Real.semiring (NormedAlgebra.toAlgebra.{0, 0} Real Real Real.normedField (SeminormedCommRing.toSeminormedRing.{0} Real (NormedCommRing.toSeminormedCommRing.{0} Real Real.normedCommRing)) (NormedAlgebra.id.{0} Real Real.normedField)))) _inst_4] (r : R) (p : Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (x : E), Eq.{1} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) x) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E _inst_2)))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real _inst_2 Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) 𝕜 E _inst_1 _inst_2 _inst_3 (Seminorm.instSeminormClass.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)))) (HSMul.hSMul.{u3, u1, u1} R (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (instHSMul.{u3, u1} R (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.instSMul.{u3, u2, u1} R 𝕜 E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6)) r p) x) (HSMul.hSMul.{u3, 0, 0} R ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) x) ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) x) (instHSMul.{u3, 0} R ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) x) _inst_4) r (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E _inst_2)))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real _inst_2 Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) 𝕜 E _inst_1 _inst_2 _inst_3 (Seminorm.instSeminormClass.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)))) p x))
+  forall {R : Type.{u3}} {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_2 : AddGroup.{u1} E] [_inst_3 : SMul.{u2, u1} 𝕜 E] [_inst_4 : SMul.{u3, 0} R Real] [_inst_5 : SMul.{u3, 0} R NNReal] [_inst_6 : IsScalarTower.{u3, 0, 0} R NNReal Real _inst_5 (Algebra.toSMul.{0, 0} NNReal Real instNNRealCommSemiring Real.semiring (NNReal.instAlgebraNNRealInstNNRealCommSemiring.{0} Real Real.semiring (NormedAlgebra.toAlgebra.{0, 0} Real Real Real.normedField (SeminormedCommRing.toSeminormedRing.{0} Real (NormedCommRing.toSeminormedCommRing.{0} Real Real.normedCommRing)) (NormedAlgebra.id.{0} Real Real.normedField)))) _inst_4] (r : R) (p : Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (x : E), Eq.{1} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) x) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E _inst_2)))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real _inst_2 Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) 𝕜 E _inst_1 _inst_2 _inst_3 (Seminorm.instSeminormClass.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)))) (HSMul.hSMul.{u3, u1, u1} R (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (instHSMul.{u3, u1} R (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.instSMul.{u3, u2, u1} R 𝕜 E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6)) r p) x) (HSMul.hSMul.{u3, 0, 0} R ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) x) ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) x) (instHSMul.{u3, 0} R ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) x) _inst_4) r (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E _inst_2)))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real _inst_2 Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) 𝕜 E _inst_1 _inst_2 _inst_3 (Seminorm.instSeminormClass.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)))) p x))
 Case conversion may be inaccurate. Consider using '#align seminorm.smul_apply Seminorm.smul_applyₓ'. -/
 @[simp]
 theorem smul_apply [SMul R ℝ] [SMul R ℝ≥0] [IsScalarTower R ℝ≥0 ℝ] (r : R) (p : Seminorm 𝕜 E)
@@ -240,7 +240,7 @@ instance : Add (Seminorm 𝕜 E)
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddGroup.{u2} E] [_inst_3 : SMul.{u1, u2} 𝕜 E] (p : Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (q : Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3), Eq.{succ u2} (E -> Real) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (fun (_x : Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (HAdd.hAdd.{u2, u2, u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (instHAdd.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.hasAdd.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) p q)) (HAdd.hAdd.{u2, u2, u2} (E -> Real) (E -> Real) (E -> Real) (instHAdd.{u2} (E -> Real) (Pi.instAdd.{u2, 0} E (fun (ᾰ : E) => Real) (fun (i : E) => Real.hasAdd))) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (fun (_x : Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) p) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (fun (_x : Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) q))
 but is expected to have type
-  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_2 : AddGroup.{u1} E] [_inst_3 : SMul.{u2, u1} 𝕜 E] (p : Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (q : Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3), Eq.{succ u1} (forall (ᾰ : E), (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) ᾰ) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E _inst_2)))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real _inst_2 Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) 𝕜 E _inst_1 _inst_2 _inst_3 (Seminorm.instSeminormClass.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)))) (HAdd.hAdd.{u1, u1, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (instHAdd.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.instAdd.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) p q)) (HAdd.hAdd.{u1, u1, u1} (forall (ᾰ : E), (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) ᾰ) (forall (ᾰ : E), (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) ᾰ) (forall (ᾰ : E), (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) ᾰ) (instHAdd.{u1} (forall (ᾰ : E), (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) ᾰ) (Pi.instAdd.{u1, 0} E (fun (ᾰ : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) ᾰ) (fun (i : E) => Real.instAddReal))) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E _inst_2)))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real _inst_2 Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) 𝕜 E _inst_1 _inst_2 _inst_3 (Seminorm.instSeminormClass.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)))) p) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E _inst_2)))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real _inst_2 Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) 𝕜 E _inst_1 _inst_2 _inst_3 (Seminorm.instSeminormClass.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)))) q))
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_2 : AddGroup.{u1} E] [_inst_3 : SMul.{u2, u1} 𝕜 E] (p : Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (q : Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3), Eq.{succ u1} (forall (ᾰ : E), (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) ᾰ) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E _inst_2)))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real _inst_2 Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) 𝕜 E _inst_1 _inst_2 _inst_3 (Seminorm.instSeminormClass.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)))) (HAdd.hAdd.{u1, u1, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (instHAdd.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.instAdd.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) p q)) (HAdd.hAdd.{u1, u1, u1} (forall (ᾰ : E), (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) ᾰ) (forall (ᾰ : E), (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) ᾰ) (forall (ᾰ : E), (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) ᾰ) (instHAdd.{u1} (forall (ᾰ : E), (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) ᾰ) (Pi.instAdd.{u1, 0} E (fun (ᾰ : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) ᾰ) (fun (i : E) => Real.instAddReal))) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E _inst_2)))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real _inst_2 Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) 𝕜 E _inst_1 _inst_2 _inst_3 (Seminorm.instSeminormClass.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)))) p) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E _inst_2)))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real _inst_2 Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) 𝕜 E _inst_1 _inst_2 _inst_3 (Seminorm.instSeminormClass.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)))) q))
 Case conversion may be inaccurate. Consider using '#align seminorm.coe_add Seminorm.coe_addₓ'. -/
 theorem coe_add (p q : Seminorm 𝕜 E) : ⇑(p + q) = p + q :=
   rfl
@@ -250,7 +250,7 @@ theorem coe_add (p q : Seminorm 𝕜 E) : ⇑(p + q) = p + q :=
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddGroup.{u2} E] [_inst_3 : SMul.{u1, u2} 𝕜 E] (p : Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (q : Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (x : E), Eq.{1} Real (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (fun (_x : Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (HAdd.hAdd.{u2, u2, u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (instHAdd.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.hasAdd.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) p q) x) (HAdd.hAdd.{0, 0, 0} Real Real Real (instHAdd.{0} Real Real.hasAdd) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (fun (_x : Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) p x) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (fun (_x : Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) q x))
 but is expected to have type
-  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_2 : AddGroup.{u1} E] [_inst_3 : SMul.{u2, u1} 𝕜 E] (p : Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (q : Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (x : E), Eq.{1} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) x) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E _inst_2)))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real _inst_2 Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) 𝕜 E _inst_1 _inst_2 _inst_3 (Seminorm.instSeminormClass.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)))) (HAdd.hAdd.{u1, u1, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (instHAdd.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.instAdd.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) p q) x) (HAdd.hAdd.{0, 0, 0} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) x) ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) x) ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) x) (instHAdd.{0} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) x) Real.instAddReal) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E _inst_2)))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real _inst_2 Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) 𝕜 E _inst_1 _inst_2 _inst_3 (Seminorm.instSeminormClass.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)))) p x) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E _inst_2)))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real _inst_2 Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) 𝕜 E _inst_1 _inst_2 _inst_3 (Seminorm.instSeminormClass.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)))) q x))
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_2 : AddGroup.{u1} E] [_inst_3 : SMul.{u2, u1} 𝕜 E] (p : Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (q : Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (x : E), Eq.{1} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) x) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E _inst_2)))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real _inst_2 Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) 𝕜 E _inst_1 _inst_2 _inst_3 (Seminorm.instSeminormClass.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)))) (HAdd.hAdd.{u1, u1, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (instHAdd.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.instAdd.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) p q) x) (HAdd.hAdd.{0, 0, 0} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) x) ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) x) ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) x) (instHAdd.{0} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) x) Real.instAddReal) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E _inst_2)))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real _inst_2 Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) 𝕜 E _inst_1 _inst_2 _inst_3 (Seminorm.instSeminormClass.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)))) p x) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E _inst_2)))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real _inst_2 Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) 𝕜 E _inst_1 _inst_2 _inst_3 (Seminorm.instSeminormClass.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)))) q x))
 Case conversion may be inaccurate. Consider using '#align seminorm.add_apply Seminorm.add_applyₓ'. -/
 @[simp]
 theorem add_apply (p q : Seminorm 𝕜 E) (x : E) : (p + q) x = p x + q x :=
@@ -286,7 +286,7 @@ def coeFnAddMonoidHom : AddMonoidHom (Seminorm 𝕜 E) (E → ℝ) :=
 lean 3 declaration is
   forall (𝕜 : Type.{u1}) (E : Type.{u2}) [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddGroup.{u2} E] [_inst_3 : SMul.{u1, u2} 𝕜 E], Function.Injective.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (E -> Real) (coeFn.{succ u2, succ u2} (AddMonoidHom.{u2, u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (E -> Real) (AddMonoid.toAddZeroClass.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.addMonoid.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (Pi.addZeroClass.{u2, 0} E (fun (ᾰ : E) => Real) (fun (i : E) => AddMonoid.toAddZeroClass.{0} Real Real.addMonoid))) (fun (_x : AddMonoidHom.{u2, u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (E -> Real) (AddMonoid.toAddZeroClass.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.addMonoid.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (Pi.addZeroClass.{u2, 0} E (fun (ᾰ : E) => Real) (fun (i : E) => AddMonoid.toAddZeroClass.{0} Real Real.addMonoid))) => (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) -> E -> Real) (AddMonoidHom.hasCoeToFun.{u2, u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (E -> Real) (AddMonoid.toAddZeroClass.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.addMonoid.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (Pi.addZeroClass.{u2, 0} E (fun (ᾰ : E) => Real) (fun (i : E) => AddMonoid.toAddZeroClass.{0} Real Real.addMonoid))) (Seminorm.coeFnAddMonoidHom.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))
 but is expected to have type
-  forall (𝕜 : Type.{u1}) (E : Type.{u2}) [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddGroup.{u2} E] [_inst_3 : SMul.{u1, u2} 𝕜 E], Function.Injective.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (E -> Real) (FunLike.coe.{succ u2, succ u2, succ u2} (AddMonoidHom.{u2, u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (E -> Real) (AddMonoid.toAddZeroClass.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.instAddMonoid.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (Pi.addZeroClass.{u2, 0} E (fun (a._@.Mathlib.Analysis.Seminorm._hyg.2053 : E) => Real) (fun (i : E) => AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal))) (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (fun (_x : Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) => E -> Real) _x) (AddHomClass.toFunLike.{u2, u2, u2} (AddMonoidHom.{u2, u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (E -> Real) (AddMonoid.toAddZeroClass.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.instAddMonoid.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (Pi.addZeroClass.{u2, 0} E (fun (a._@.Mathlib.Analysis.Seminorm._hyg.2053 : E) => Real) (fun (i : E) => AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal))) (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (E -> Real) (AddZeroClass.toAdd.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (AddMonoid.toAddZeroClass.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.instAddMonoid.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) (AddZeroClass.toAdd.{u2} (E -> Real) (Pi.addZeroClass.{u2, 0} E (fun (a._@.Mathlib.Analysis.Seminorm._hyg.2053 : E) => Real) (fun (i : E) => AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal))) (AddMonoidHomClass.toAddHomClass.{u2, u2, u2} (AddMonoidHom.{u2, u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (E -> Real) (AddMonoid.toAddZeroClass.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.instAddMonoid.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (Pi.addZeroClass.{u2, 0} E (fun (a._@.Mathlib.Analysis.Seminorm._hyg.2053 : E) => Real) (fun (i : E) => AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal))) (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (E -> Real) (AddMonoid.toAddZeroClass.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.instAddMonoid.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (Pi.addZeroClass.{u2, 0} E (fun (a._@.Mathlib.Analysis.Seminorm._hyg.2053 : E) => Real) (fun (i : E) => AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)) (AddMonoidHom.addMonoidHomClass.{u2, u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (E -> Real) (AddMonoid.toAddZeroClass.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.instAddMonoid.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (Pi.addZeroClass.{u2, 0} E (fun (a._@.Mathlib.Analysis.Seminorm._hyg.2053 : E) => Real) (fun (i : E) => AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal))))) (Seminorm.coeFnAddMonoidHom.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))
+  forall (𝕜 : Type.{u1}) (E : Type.{u2}) [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddGroup.{u2} E] [_inst_3 : SMul.{u1, u2} 𝕜 E], Function.Injective.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (E -> Real) (FunLike.coe.{succ u2, succ u2, succ u2} (AddMonoidHom.{u2, u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (E -> Real) (AddMonoid.toAddZeroClass.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.instAddMonoid.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (Pi.addZeroClass.{u2, 0} E (fun (a._@.Mathlib.Analysis.Seminorm._hyg.2051 : E) => Real) (fun (i : E) => AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal))) (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (fun (_x : Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) => E -> Real) _x) (AddHomClass.toFunLike.{u2, u2, u2} (AddMonoidHom.{u2, u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (E -> Real) (AddMonoid.toAddZeroClass.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.instAddMonoid.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (Pi.addZeroClass.{u2, 0} E (fun (a._@.Mathlib.Analysis.Seminorm._hyg.2051 : E) => Real) (fun (i : E) => AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal))) (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (E -> Real) (AddZeroClass.toAdd.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (AddMonoid.toAddZeroClass.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.instAddMonoid.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) (AddZeroClass.toAdd.{u2} (E -> Real) (Pi.addZeroClass.{u2, 0} E (fun (a._@.Mathlib.Analysis.Seminorm._hyg.2051 : E) => Real) (fun (i : E) => AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal))) (AddMonoidHomClass.toAddHomClass.{u2, u2, u2} (AddMonoidHom.{u2, u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (E -> Real) (AddMonoid.toAddZeroClass.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.instAddMonoid.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (Pi.addZeroClass.{u2, 0} E (fun (a._@.Mathlib.Analysis.Seminorm._hyg.2051 : E) => Real) (fun (i : E) => AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal))) (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (E -> Real) (AddMonoid.toAddZeroClass.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.instAddMonoid.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (Pi.addZeroClass.{u2, 0} E (fun (a._@.Mathlib.Analysis.Seminorm._hyg.2051 : E) => Real) (fun (i : E) => AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)) (AddMonoidHom.addMonoidHomClass.{u2, u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (E -> Real) (AddMonoid.toAddZeroClass.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.instAddMonoid.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (Pi.addZeroClass.{u2, 0} E (fun (a._@.Mathlib.Analysis.Seminorm._hyg.2051 : E) => Real) (fun (i : E) => AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal))))) (Seminorm.coeFnAddMonoidHom.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))
 Case conversion may be inaccurate. Consider using '#align seminorm.coe_fn_add_monoid_hom_injective Seminorm.coeFnAddMonoidHom_injectiveₓ'. -/
 theorem coeFnAddMonoidHom_injective : Function.Injective (coeFnAddMonoidHom 𝕜 E) :=
   show @Function.Injective (Seminorm 𝕜 E) (E → ℝ) coeFn from FunLike.coe_injective
@@ -314,7 +314,7 @@ instance : Sup (Seminorm 𝕜 E)
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddGroup.{u2} E] [_inst_3 : SMul.{u1, u2} 𝕜 E] (p : Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (q : Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3), Eq.{succ u2} (E -> Real) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (fun (_x : Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (Sup.sup.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.hasSup.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) p q)) (Sup.sup.{u2} (E -> Real) (Pi.hasSup.{u2, 0} E (fun (ᾰ : E) => Real) (fun (i : E) => Real.hasSup)) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (fun (_x : Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) p) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (fun (_x : Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) q))
 but is expected to have type
-  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_2 : AddGroup.{u1} E] [_inst_3 : SMul.{u2, u1} 𝕜 E] (p : Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (q : Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3), Eq.{succ u1} (forall (ᾰ : E), (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) ᾰ) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E _inst_2)))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real _inst_2 Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) 𝕜 E _inst_1 _inst_2 _inst_3 (Seminorm.instSeminormClass.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)))) (Sup.sup.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.instSup.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) p q)) (Sup.sup.{u1} (forall (ᾰ : E), (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) ᾰ) (Pi.instSupForAll.{u1, 0} E (fun (ᾰ : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) ᾰ) (fun (i : E) => Real.instSupReal)) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E _inst_2)))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real _inst_2 Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) 𝕜 E _inst_1 _inst_2 _inst_3 (Seminorm.instSeminormClass.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)))) p) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E _inst_2)))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real _inst_2 Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) 𝕜 E _inst_1 _inst_2 _inst_3 (Seminorm.instSeminormClass.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)))) q))
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_2 : AddGroup.{u1} E] [_inst_3 : SMul.{u2, u1} 𝕜 E] (p : Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (q : Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3), Eq.{succ u1} (forall (ᾰ : E), (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) ᾰ) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E _inst_2)))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real _inst_2 Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) 𝕜 E _inst_1 _inst_2 _inst_3 (Seminorm.instSeminormClass.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)))) (Sup.sup.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.instSup.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) p q)) (Sup.sup.{u1} (forall (ᾰ : E), (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) ᾰ) (Pi.instSupForAll.{u1, 0} E (fun (ᾰ : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) ᾰ) (fun (i : E) => Real.instSupReal)) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E _inst_2)))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real _inst_2 Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) 𝕜 E _inst_1 _inst_2 _inst_3 (Seminorm.instSeminormClass.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)))) p) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E _inst_2)))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real _inst_2 Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) 𝕜 E _inst_1 _inst_2 _inst_3 (Seminorm.instSeminormClass.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)))) q))
 Case conversion may be inaccurate. Consider using '#align seminorm.coe_sup Seminorm.coe_supₓ'. -/
 @[simp]
 theorem coe_sup (p q : Seminorm 𝕜 E) : ⇑(p ⊔ q) = p ⊔ q :=
@@ -325,7 +325,7 @@ theorem coe_sup (p q : Seminorm 𝕜 E) : ⇑(p ⊔ q) = p ⊔ q :=
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddGroup.{u2} E] [_inst_3 : SMul.{u1, u2} 𝕜 E] (p : Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (q : Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (x : E), Eq.{1} Real (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (fun (_x : Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (Sup.sup.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.hasSup.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) p q) x) (Sup.sup.{0} Real Real.hasSup (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (fun (_x : Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) p x) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (fun (_x : Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) q x))
 but is expected to have type
-  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_2 : AddGroup.{u1} E] [_inst_3 : SMul.{u2, u1} 𝕜 E] (p : Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (q : Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (x : E), Eq.{1} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) x) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E _inst_2)))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real _inst_2 Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) 𝕜 E _inst_1 _inst_2 _inst_3 (Seminorm.instSeminormClass.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)))) (Sup.sup.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.instSup.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) p q) x) (Sup.sup.{0} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) x) Real.instSupReal (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E _inst_2)))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real _inst_2 Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) 𝕜 E _inst_1 _inst_2 _inst_3 (Seminorm.instSeminormClass.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)))) p x) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E _inst_2)))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real _inst_2 Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) 𝕜 E _inst_1 _inst_2 _inst_3 (Seminorm.instSeminormClass.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)))) q x))
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_2 : AddGroup.{u1} E] [_inst_3 : SMul.{u2, u1} 𝕜 E] (p : Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (q : Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (x : E), Eq.{1} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) x) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E _inst_2)))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real _inst_2 Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) 𝕜 E _inst_1 _inst_2 _inst_3 (Seminorm.instSeminormClass.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)))) (Sup.sup.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.instSup.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) p q) x) (Sup.sup.{0} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) x) Real.instSupReal (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E _inst_2)))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real _inst_2 Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) 𝕜 E _inst_1 _inst_2 _inst_3 (Seminorm.instSeminormClass.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)))) p x) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E _inst_2)))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real _inst_2 Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) 𝕜 E _inst_1 _inst_2 _inst_3 (Seminorm.instSeminormClass.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)))) q x))
 Case conversion may be inaccurate. Consider using '#align seminorm.sup_apply Seminorm.sup_applyₓ'. -/
 theorem sup_apply (p q : Seminorm 𝕜 E) (x : E) : (p ⊔ q) x = p x ⊔ q x :=
   rfl
@@ -350,9 +350,9 @@ instance : PartialOrder (Seminorm 𝕜 E) :=
 
 /- warning: seminorm.coe_le_coe -> Seminorm.coe_le_coe is a dubious translation:
 lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddGroup.{u2} E] [_inst_3 : SMul.{u1, u2} 𝕜 E] {p : Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3} {q : Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3}, Iff (LE.le.{u2} ((fun (_x : Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) => E -> Real) p) (Pi.hasLe.{u2, 0} E (fun (ᾰ : E) => Real) (fun (i : E) => Real.hasLe)) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (fun (_x : Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) p) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (fun (_x : Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) q)) (LE.le.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (Preorder.toLE.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (PartialOrder.toPreorder.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.partialOrder.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) p q)
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddGroup.{u2} E] [_inst_3 : SMul.{u1, u2} 𝕜 E] {p : Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3} {q : Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3}, Iff (LE.le.{u2} ((fun (_x : Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) => E -> Real) p) (Pi.hasLe.{u2, 0} E (fun (ᾰ : E) => Real) (fun (i : E) => Real.hasLe)) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (fun (_x : Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) p) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (fun (_x : Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) q)) (LE.le.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (Preorder.toHasLe.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (PartialOrder.toPreorder.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.partialOrder.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) p q)
 but is expected to have type
-  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_2 : AddGroup.{u1} E] [_inst_3 : SMul.{u2, u1} 𝕜 E] {p : Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3} {q : Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3}, Iff (LE.le.{u1} (forall (a : E), (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) a) (Pi.hasLe.{u1, 0} E (fun (ᾰ : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) ᾰ) (fun (i : E) => Real.instLEReal)) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E _inst_2)))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real _inst_2 Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) 𝕜 E _inst_1 _inst_2 _inst_3 (Seminorm.instSeminormClass.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)))) p) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E _inst_2)))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real _inst_2 Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) 𝕜 E _inst_1 _inst_2 _inst_3 (Seminorm.instSeminormClass.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)))) q)) (LE.le.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (Preorder.toLE.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (PartialOrder.toPreorder.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.instPartialOrder.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3))) p q)
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_2 : AddGroup.{u1} E] [_inst_3 : SMul.{u2, u1} 𝕜 E] {p : Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3} {q : Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3}, Iff (LE.le.{u1} (forall (a : E), (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) a) (Pi.hasLe.{u1, 0} E (fun (ᾰ : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) ᾰ) (fun (i : E) => Real.instLEReal)) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E _inst_2)))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real _inst_2 Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) 𝕜 E _inst_1 _inst_2 _inst_3 (Seminorm.instSeminormClass.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)))) p) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E _inst_2)))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real _inst_2 Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) 𝕜 E _inst_1 _inst_2 _inst_3 (Seminorm.instSeminormClass.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)))) q)) (LE.le.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (Preorder.toLE.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (PartialOrder.toPreorder.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.instPartialOrder.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3))) p q)
 Case conversion may be inaccurate. Consider using '#align seminorm.coe_le_coe Seminorm.coe_le_coeₓ'. -/
 @[simp, norm_cast]
 theorem coe_le_coe {p q : Seminorm 𝕜 E} : (p : E → ℝ) ≤ q ↔ p ≤ q :=
@@ -361,9 +361,9 @@ theorem coe_le_coe {p q : Seminorm 𝕜 E} : (p : E → ℝ) ≤ q ↔ p ≤ q :
 
 /- warning: seminorm.coe_lt_coe -> Seminorm.coe_lt_coe is a dubious translation:
 lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddGroup.{u2} E] [_inst_3 : SMul.{u1, u2} 𝕜 E] {p : Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3} {q : Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3}, Iff (LT.lt.{u2} ((fun (_x : Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) => E -> Real) p) (Preorder.toLT.{u2} ((fun (_x : Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) => E -> Real) p) (Pi.preorder.{u2, 0} E (fun (ᾰ : E) => Real) (fun (i : E) => Real.preorder))) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (fun (_x : Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) p) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (fun (_x : Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) q)) (LT.lt.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (Preorder.toLT.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (PartialOrder.toPreorder.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.partialOrder.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) p q)
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddGroup.{u2} E] [_inst_3 : SMul.{u1, u2} 𝕜 E] {p : Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3} {q : Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3}, Iff (LT.lt.{u2} ((fun (_x : Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) => E -> Real) p) (Preorder.toHasLt.{u2} ((fun (_x : Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) => E -> Real) p) (Pi.preorder.{u2, 0} E (fun (ᾰ : E) => Real) (fun (i : E) => Real.preorder))) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (fun (_x : Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) p) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (fun (_x : Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) q)) (LT.lt.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (Preorder.toHasLt.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (PartialOrder.toPreorder.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.partialOrder.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) p q)
 but is expected to have type
-  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_2 : AddGroup.{u1} E] [_inst_3 : SMul.{u2, u1} 𝕜 E] {p : Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3} {q : Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3}, Iff (LT.lt.{u1} (forall (a : E), (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) a) (Preorder.toLT.{u1} (forall (a : E), (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) a) (Pi.preorder.{u1, 0} E (fun (ᾰ : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) ᾰ) (fun (i : E) => Real.instPreorderReal))) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E _inst_2)))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real _inst_2 Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) 𝕜 E _inst_1 _inst_2 _inst_3 (Seminorm.instSeminormClass.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)))) p) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E _inst_2)))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real _inst_2 Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) 𝕜 E _inst_1 _inst_2 _inst_3 (Seminorm.instSeminormClass.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)))) q)) (LT.lt.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (Preorder.toLT.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (PartialOrder.toPreorder.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.instPartialOrder.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3))) p q)
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_2 : AddGroup.{u1} E] [_inst_3 : SMul.{u2, u1} 𝕜 E] {p : Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3} {q : Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3}, Iff (LT.lt.{u1} (forall (a : E), (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) a) (Preorder.toLT.{u1} (forall (a : E), (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) a) (Pi.preorder.{u1, 0} E (fun (ᾰ : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) ᾰ) (fun (i : E) => Real.instPreorderReal))) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E _inst_2)))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real _inst_2 Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) 𝕜 E _inst_1 _inst_2 _inst_3 (Seminorm.instSeminormClass.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)))) p) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E _inst_2)))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real _inst_2 Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) 𝕜 E _inst_1 _inst_2 _inst_3 (Seminorm.instSeminormClass.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)))) q)) (LT.lt.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (Preorder.toLT.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (PartialOrder.toPreorder.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.instPartialOrder.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3))) p q)
 Case conversion may be inaccurate. Consider using '#align seminorm.coe_lt_coe Seminorm.coe_lt_coeₓ'. -/
 @[simp, norm_cast]
 theorem coe_lt_coe {p q : Seminorm 𝕜 E} : (p : E → ℝ) < q ↔ p < q :=
@@ -372,9 +372,9 @@ theorem coe_lt_coe {p q : Seminorm 𝕜 E} : (p : E → ℝ) < q ↔ p < q :=
 
 /- warning: seminorm.le_def -> Seminorm.le_def is a dubious translation:
 lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddGroup.{u2} E] [_inst_3 : SMul.{u1, u2} 𝕜 E] {p : Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3} {q : Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3}, Iff (LE.le.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (Preorder.toLE.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (PartialOrder.toPreorder.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.partialOrder.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) p q) (forall (x : E), LE.le.{0} Real Real.hasLe (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (fun (_x : Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) p x) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (fun (_x : Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) q x))
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddGroup.{u2} E] [_inst_3 : SMul.{u1, u2} 𝕜 E] {p : Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3} {q : Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3}, Iff (LE.le.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (Preorder.toHasLe.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (PartialOrder.toPreorder.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.partialOrder.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) p q) (forall (x : E), LE.le.{0} Real Real.hasLe (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (fun (_x : Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) p x) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (fun (_x : Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) q x))
 but is expected to have type
-  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_2 : AddGroup.{u1} E] [_inst_3 : SMul.{u2, u1} 𝕜 E] {p : Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3} {q : Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3}, Iff (LE.le.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (Preorder.toLE.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (PartialOrder.toPreorder.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.instPartialOrder.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3))) p q) (forall (x : E), LE.le.{0} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) x) Real.instLEReal (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E _inst_2)))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real _inst_2 Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) 𝕜 E _inst_1 _inst_2 _inst_3 (Seminorm.instSeminormClass.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)))) p x) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E _inst_2)))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real _inst_2 Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) 𝕜 E _inst_1 _inst_2 _inst_3 (Seminorm.instSeminormClass.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)))) q x))
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_2 : AddGroup.{u1} E] [_inst_3 : SMul.{u2, u1} 𝕜 E] {p : Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3} {q : Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3}, Iff (LE.le.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (Preorder.toLE.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (PartialOrder.toPreorder.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.instPartialOrder.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3))) p q) (forall (x : E), LE.le.{0} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) x) Real.instLEReal (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E _inst_2)))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real _inst_2 Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) 𝕜 E _inst_1 _inst_2 _inst_3 (Seminorm.instSeminormClass.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)))) p x) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E _inst_2)))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real _inst_2 Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) 𝕜 E _inst_1 _inst_2 _inst_3 (Seminorm.instSeminormClass.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)))) q x))
 Case conversion may be inaccurate. Consider using '#align seminorm.le_def Seminorm.le_defₓ'. -/
 theorem le_def {p q : Seminorm 𝕜 E} : p ≤ q ↔ ∀ x, p x ≤ q x :=
   Iff.rfl
@@ -382,9 +382,9 @@ theorem le_def {p q : Seminorm 𝕜 E} : p ≤ q ↔ ∀ x, p x ≤ q x :=
 
 /- warning: seminorm.lt_def -> Seminorm.lt_def is a dubious translation:
 lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddGroup.{u2} E] [_inst_3 : SMul.{u1, u2} 𝕜 E] {p : Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3} {q : Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3}, Iff (LT.lt.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (Preorder.toLT.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (PartialOrder.toPreorder.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.partialOrder.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) p q) (And (LE.le.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (Preorder.toLE.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (PartialOrder.toPreorder.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.partialOrder.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) p q) (Exists.{succ u2} E (fun (x : E) => LT.lt.{0} Real Real.hasLt (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (fun (_x : Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) p x) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (fun (_x : Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) q x))))
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddGroup.{u2} E] [_inst_3 : SMul.{u1, u2} 𝕜 E] {p : Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3} {q : Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3}, Iff (LT.lt.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (Preorder.toHasLt.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (PartialOrder.toPreorder.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.partialOrder.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) p q) (And (LE.le.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (Preorder.toHasLe.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (PartialOrder.toPreorder.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.partialOrder.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) p q) (Exists.{succ u2} E (fun (x : E) => LT.lt.{0} Real Real.hasLt (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (fun (_x : Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) p x) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (fun (_x : Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) q x))))
 but is expected to have type
-  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_2 : AddGroup.{u1} E] [_inst_3 : SMul.{u2, u1} 𝕜 E] {p : Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3} {q : Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3}, Iff (LT.lt.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (Preorder.toLT.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (PartialOrder.toPreorder.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.instPartialOrder.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3))) p q) (And (LE.le.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (Preorder.toLE.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (PartialOrder.toPreorder.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.instPartialOrder.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3))) p q) (Exists.{succ u1} E (fun (x : E) => LT.lt.{0} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) x) Real.instLTReal (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E _inst_2)))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real _inst_2 Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) 𝕜 E _inst_1 _inst_2 _inst_3 (Seminorm.instSeminormClass.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)))) p x) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E _inst_2)))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real _inst_2 Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) 𝕜 E _inst_1 _inst_2 _inst_3 (Seminorm.instSeminormClass.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)))) q x))))
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_2 : AddGroup.{u1} E] [_inst_3 : SMul.{u2, u1} 𝕜 E] {p : Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3} {q : Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3}, Iff (LT.lt.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (Preorder.toLT.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (PartialOrder.toPreorder.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.instPartialOrder.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3))) p q) (And (LE.le.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (Preorder.toLE.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (PartialOrder.toPreorder.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.instPartialOrder.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3))) p q) (Exists.{succ u1} E (fun (x : E) => LT.lt.{0} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) x) Real.instLTReal (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E _inst_2)))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real _inst_2 Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) 𝕜 E _inst_1 _inst_2 _inst_3 (Seminorm.instSeminormClass.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)))) p x) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E _inst_2)))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real _inst_2 Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) 𝕜 E _inst_1 _inst_2 _inst_3 (Seminorm.instSeminormClass.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)))) q x))))
 Case conversion may be inaccurate. Consider using '#align seminorm.lt_def Seminorm.lt_defₓ'. -/
 theorem lt_def {p q : Seminorm 𝕜 E} : p < q ↔ p ≤ q ∧ ∃ x, p x < q x :=
   Pi.lt_def
@@ -430,7 +430,7 @@ def comp (p : Seminorm 𝕜₂ E₂) (f : E →ₛₗ[σ₁₂] E₂) : Seminorm
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {𝕜₂ : Type.{u2}} {E : Type.{u3}} {E₂ : Type.{u4}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : SeminormedRing.{u2} 𝕜₂] {σ₁₂ : RingHom.{u1, u2} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))} [_inst_4 : RingHomIsometric.{u1, u2} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (SeminormedRing.toHasNorm.{u1} 𝕜 _inst_1) (SeminormedRing.toHasNorm.{u2} 𝕜₂ _inst_2) σ₁₂] [_inst_7 : AddCommGroup.{u3} E] [_inst_8 : AddCommGroup.{u4} E₂] [_inst_12 : Module.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)] [_inst_13 : Module.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)] (p : Seminorm.{u2, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))) (f : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_12 _inst_13), Eq.{succ u3} (E -> Real) (coeFn.{succ u3, succ u3} (Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))) (fun (_x : Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))) (Seminorm.comp.{u1, u2, u3, u4} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 p f)) (Function.comp.{succ u3, succ u4, 1} E E₂ Real (coeFn.{succ u4, succ u4} (Seminorm.{u2, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))) (fun (_x : Seminorm.{u2, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))) => E₂ -> Real) (Seminorm.hasCoeToFun.{u2, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))) p) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_12 _inst_13) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_12 _inst_13) => E -> E₂) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜 𝕜₂ E E₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_12 _inst_13 σ₁₂) f))
 but is expected to have type
-  forall {𝕜 : Type.{u2}} {𝕜₂ : Type.{u4}} {E : Type.{u1}} {E₂ : Type.{u3}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_2 : SeminormedRing.{u4} 𝕜₂] {σ₁₂ : RingHom.{u2, u4} 𝕜 𝕜₂ (Semiring.toNonAssocSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (Semiring.toNonAssocSemiring.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))} [_inst_4 : RingHomIsometric.{u2, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (SeminormedRing.toNorm.{u2} 𝕜 _inst_1) (SeminormedRing.toNorm.{u4} 𝕜₂ _inst_2) σ₁₂] [_inst_7 : AddCommGroup.{u1} E] [_inst_8 : AddCommGroup.{u3} E₂] [_inst_12 : Module.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7)] [_inst_13 : Module.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8)] (p : Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) (f : LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_12 _inst_13), Eq.{succ u1} (forall (ᾰ : E), (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) ᾰ) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_7))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) E Real (AddCommGroup.toAddGroup.{u1} E _inst_7) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12)))) (Seminorm.instSeminormClass.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12)))))))) (Seminorm.comp.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 p f)) (Function.comp.{succ u1, succ u3, 1} E E₂ Real (FunLike.coe.{succ u3, succ u3, 1} (Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) E₂ (fun (_x : E₂) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E₂) => Real) _x) (SubadditiveHomClass.toFunLike.{u3, u3, 0} (Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) E₂ Real (AddZeroClass.toAdd.{u3} E₂ (AddMonoid.toAddZeroClass.{u3} E₂ (SubNegMonoid.toAddMonoid.{u3} E₂ (AddGroup.toSubNegMonoid.{u3} E₂ (AddCommGroup.toAddGroup.{u3} E₂ _inst_8))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u3, u3, 0} (Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) E₂ Real (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u3, u4, u3} (Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13)))) (Seminorm.instSeminormClass.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13)))))))) p) (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_12 _inst_13) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : E) => E₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_12 _inst_13 σ₁₂) f))
+  forall {𝕜 : Type.{u2}} {𝕜₂ : Type.{u4}} {E : Type.{u1}} {E₂ : Type.{u3}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_2 : SeminormedRing.{u4} 𝕜₂] {σ₁₂ : RingHom.{u2, u4} 𝕜 𝕜₂ (Semiring.toNonAssocSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (Semiring.toNonAssocSemiring.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))} [_inst_4 : RingHomIsometric.{u2, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (SeminormedRing.toNorm.{u2} 𝕜 _inst_1) (SeminormedRing.toNorm.{u4} 𝕜₂ _inst_2) σ₁₂] [_inst_7 : AddCommGroup.{u1} E] [_inst_8 : AddCommGroup.{u3} E₂] [_inst_12 : Module.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7)] [_inst_13 : Module.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8)] (p : Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) (f : LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_12 _inst_13), Eq.{succ u1} (forall (ᾰ : E), (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) ᾰ) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_7))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) E Real (AddCommGroup.toAddGroup.{u1} E _inst_7) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12)))) (Seminorm.instSeminormClass.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12)))))))) (Seminorm.comp.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 p f)) (Function.comp.{succ u1, succ u3, 1} E E₂ Real (FunLike.coe.{succ u3, succ u3, 1} (Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) E₂ (fun (_x : E₂) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E₂) => Real) _x) (SubadditiveHomClass.toFunLike.{u3, u3, 0} (Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) E₂ Real (AddZeroClass.toAdd.{u3} E₂ (AddMonoid.toAddZeroClass.{u3} E₂ (SubNegMonoid.toAddMonoid.{u3} E₂ (AddGroup.toSubNegMonoid.{u3} E₂ (AddCommGroup.toAddGroup.{u3} E₂ _inst_8))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u3, u3, 0} (Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) E₂ Real (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u3, u4, u3} (Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13)))) (Seminorm.instSeminormClass.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13)))))))) p) (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_12 _inst_13) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : E) => E₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_12 _inst_13 σ₁₂) f))
 Case conversion may be inaccurate. Consider using '#align seminorm.coe_comp Seminorm.coe_compₓ'. -/
 theorem coe_comp (p : Seminorm 𝕜₂ E₂) (f : E →ₛₗ[σ₁₂] E₂) : ⇑(p.comp f) = p ∘ f :=
   rfl
@@ -440,7 +440,7 @@ theorem coe_comp (p : Seminorm 𝕜₂ E₂) (f : E →ₛₗ[σ₁₂] E₂) :
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {𝕜₂ : Type.{u2}} {E : Type.{u3}} {E₂ : Type.{u4}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : SeminormedRing.{u2} 𝕜₂] {σ₁₂ : RingHom.{u1, u2} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))} [_inst_4 : RingHomIsometric.{u1, u2} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (SeminormedRing.toHasNorm.{u1} 𝕜 _inst_1) (SeminormedRing.toHasNorm.{u2} 𝕜₂ _inst_2) σ₁₂] [_inst_7 : AddCommGroup.{u3} E] [_inst_8 : AddCommGroup.{u4} E₂] [_inst_12 : Module.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)] [_inst_13 : Module.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)] (p : Seminorm.{u2, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))) (f : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_12 _inst_13) (x : E), Eq.{1} Real (coeFn.{succ u3, succ u3} (Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))) (fun (_x : Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))) (Seminorm.comp.{u1, u2, u3, u4} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 p f) x) (coeFn.{succ u4, succ u4} (Seminorm.{u2, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))) (fun (_x : Seminorm.{u2, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))) => E₂ -> Real) (Seminorm.hasCoeToFun.{u2, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))) p (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_12 _inst_13) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_12 _inst_13) => E -> E₂) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜 𝕜₂ E E₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_12 _inst_13 σ₁₂) f x))
 but is expected to have type
-  forall {𝕜 : Type.{u2}} {𝕜₂ : Type.{u4}} {E : Type.{u1}} {E₂ : Type.{u3}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_2 : SeminormedRing.{u4} 𝕜₂] {σ₁₂ : RingHom.{u2, u4} 𝕜 𝕜₂ (Semiring.toNonAssocSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (Semiring.toNonAssocSemiring.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))} [_inst_4 : RingHomIsometric.{u2, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (SeminormedRing.toNorm.{u2} 𝕜 _inst_1) (SeminormedRing.toNorm.{u4} 𝕜₂ _inst_2) σ₁₂] [_inst_7 : AddCommGroup.{u1} E] [_inst_8 : AddCommGroup.{u3} E₂] [_inst_12 : Module.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7)] [_inst_13 : Module.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8)] (p : Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) (f : LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_12 _inst_13) (x : E), Eq.{1} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) x) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_7))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) E Real (AddCommGroup.toAddGroup.{u1} E _inst_7) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12)))) (Seminorm.instSeminormClass.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12)))))))) (Seminorm.comp.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 p f) x) (FunLike.coe.{succ u3, succ u3, 1} (Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) E₂ (fun (_x : E₂) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E₂) => Real) _x) (SubadditiveHomClass.toFunLike.{u3, u3, 0} (Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) E₂ Real (AddZeroClass.toAdd.{u3} E₂ (AddMonoid.toAddZeroClass.{u3} E₂ (SubNegMonoid.toAddMonoid.{u3} E₂ (AddGroup.toSubNegMonoid.{u3} E₂ (AddCommGroup.toAddGroup.{u3} E₂ _inst_8))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u3, u3, 0} (Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) E₂ Real (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u3, u4, u3} (Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13)))) (Seminorm.instSeminormClass.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13)))))))) p (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_12 _inst_13) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : E) => E₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_12 _inst_13 σ₁₂) f x))
+  forall {𝕜 : Type.{u2}} {𝕜₂ : Type.{u4}} {E : Type.{u1}} {E₂ : Type.{u3}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_2 : SeminormedRing.{u4} 𝕜₂] {σ₁₂ : RingHom.{u2, u4} 𝕜 𝕜₂ (Semiring.toNonAssocSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (Semiring.toNonAssocSemiring.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))} [_inst_4 : RingHomIsometric.{u2, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (SeminormedRing.toNorm.{u2} 𝕜 _inst_1) (SeminormedRing.toNorm.{u4} 𝕜₂ _inst_2) σ₁₂] [_inst_7 : AddCommGroup.{u1} E] [_inst_8 : AddCommGroup.{u3} E₂] [_inst_12 : Module.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7)] [_inst_13 : Module.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8)] (p : Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) (f : LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_12 _inst_13) (x : E), Eq.{1} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) x) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_7))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) E Real (AddCommGroup.toAddGroup.{u1} E _inst_7) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12)))) (Seminorm.instSeminormClass.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12)))))))) (Seminorm.comp.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 p f) x) (FunLike.coe.{succ u3, succ u3, 1} (Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) E₂ (fun (_x : E₂) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E₂) => Real) _x) (SubadditiveHomClass.toFunLike.{u3, u3, 0} (Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) E₂ Real (AddZeroClass.toAdd.{u3} E₂ (AddMonoid.toAddZeroClass.{u3} E₂ (SubNegMonoid.toAddMonoid.{u3} E₂ (AddGroup.toSubNegMonoid.{u3} E₂ (AddCommGroup.toAddGroup.{u3} E₂ _inst_8))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u3, u3, 0} (Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) E₂ Real (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u3, u4, u3} (Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13)))) (Seminorm.instSeminormClass.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13)))))))) p (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_12 _inst_13) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : E) => E₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_12 _inst_13 σ₁₂) f x))
 Case conversion may be inaccurate. Consider using '#align seminorm.comp_apply Seminorm.comp_applyₓ'. -/
 @[simp]
 theorem comp_apply (p : Seminorm 𝕜₂ E₂) (f : E →ₛₗ[σ₁₂] E₂) (x : E) : (p.comp f) x = p (f x) :=
@@ -504,7 +504,7 @@ theorem add_comp (p q : Seminorm 𝕜₂ E₂) (f : E →ₛₗ[σ₁₂] E₂)
 
 /- warning: seminorm.comp_add_le -> Seminorm.comp_add_le is a dubious translation:
 lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {𝕜₂ : Type.{u2}} {E : Type.{u3}} {E₂ : Type.{u4}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : SeminormedRing.{u2} 𝕜₂] {σ₁₂ : RingHom.{u1, u2} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))} [_inst_4 : RingHomIsometric.{u1, u2} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (SeminormedRing.toHasNorm.{u1} 𝕜 _inst_1) (SeminormedRing.toHasNorm.{u2} 𝕜₂ _inst_2) σ₁₂] [_inst_7 : AddCommGroup.{u3} E] [_inst_8 : AddCommGroup.{u4} E₂] [_inst_12 : Module.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)] [_inst_13 : Module.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)] (p : Seminorm.{u2, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))) (f : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_12 _inst_13) (g : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_12 _inst_13), LE.le.{u3} (Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))) (Preorder.toLE.{u3} (Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))) (PartialOrder.toPreorder.{u3} (Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))) (Seminorm.partialOrder.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))))) (Seminorm.comp.{u1, u2, u3, u4} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 p (HAdd.hAdd.{max u3 u4, max u3 u4, max u3 u4} (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_12 _inst_13) (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_12 _inst_13) (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_12 _inst_13) (instHAdd.{max u3 u4} (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_12 _inst_13) (LinearMap.hasAdd.{u1, u2, u3, u4} 𝕜 𝕜₂ E E₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_12 _inst_13 σ₁₂)) f g)) (HAdd.hAdd.{u3, u3, u3} (Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))) (Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))) (Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))) (instHAdd.{u3} (Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))) (Seminorm.hasAdd.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12)))))) (Seminorm.comp.{u1, u2, u3, u4} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 p f) (Seminorm.comp.{u1, u2, u3, u4} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 p g))
+  forall {𝕜 : Type.{u1}} {𝕜₂ : Type.{u2}} {E : Type.{u3}} {E₂ : Type.{u4}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : SeminormedRing.{u2} 𝕜₂] {σ₁₂ : RingHom.{u1, u2} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))} [_inst_4 : RingHomIsometric.{u1, u2} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (SeminormedRing.toHasNorm.{u1} 𝕜 _inst_1) (SeminormedRing.toHasNorm.{u2} 𝕜₂ _inst_2) σ₁₂] [_inst_7 : AddCommGroup.{u3} E] [_inst_8 : AddCommGroup.{u4} E₂] [_inst_12 : Module.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)] [_inst_13 : Module.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)] (p : Seminorm.{u2, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))) (f : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_12 _inst_13) (g : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_12 _inst_13), LE.le.{u3} (Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))) (Preorder.toHasLe.{u3} (Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))) (PartialOrder.toPreorder.{u3} (Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))) (Seminorm.partialOrder.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))))) (Seminorm.comp.{u1, u2, u3, u4} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 p (HAdd.hAdd.{max u3 u4, max u3 u4, max u3 u4} (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_12 _inst_13) (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_12 _inst_13) (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_12 _inst_13) (instHAdd.{max u3 u4} (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_12 _inst_13) (LinearMap.hasAdd.{u1, u2, u3, u4} 𝕜 𝕜₂ E E₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_12 _inst_13 σ₁₂)) f g)) (HAdd.hAdd.{u3, u3, u3} (Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))) (Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))) (Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))) (instHAdd.{u3} (Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))) (Seminorm.hasAdd.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12)))))) (Seminorm.comp.{u1, u2, u3, u4} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 p f) (Seminorm.comp.{u1, u2, u3, u4} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 p g))
 but is expected to have type
   forall {𝕜 : Type.{u2}} {𝕜₂ : Type.{u4}} {E : Type.{u1}} {E₂ : Type.{u3}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_2 : SeminormedRing.{u4} 𝕜₂] {σ₁₂ : RingHom.{u2, u4} 𝕜 𝕜₂ (Semiring.toNonAssocSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (Semiring.toNonAssocSemiring.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))} [_inst_4 : RingHomIsometric.{u2, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (SeminormedRing.toNorm.{u2} 𝕜 _inst_1) (SeminormedRing.toNorm.{u4} 𝕜₂ _inst_2) σ₁₂] [_inst_7 : AddCommGroup.{u1} E] [_inst_8 : AddCommGroup.{u3} E₂] [_inst_12 : Module.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7)] [_inst_13 : Module.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8)] (p : Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) (f : LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_12 _inst_13) (g : LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_12 _inst_13), LE.le.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (Preorder.toLE.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (PartialOrder.toPreorder.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (Seminorm.instPartialOrder.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))))) (Seminorm.comp.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 p (HAdd.hAdd.{max u1 u3, max u1 u3, max u1 u3} (LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_12 _inst_13) (LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_12 _inst_13) (LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_12 _inst_13) (instHAdd.{max u1 u3} (LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_12 _inst_13) (LinearMap.instAddLinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_12 _inst_13 σ₁₂)) f g)) (HAdd.hAdd.{u1, u1, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (instHAdd.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (Seminorm.instAdd.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12)))))) (Seminorm.comp.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 p f) (Seminorm.comp.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 p g))
 Case conversion may be inaccurate. Consider using '#align seminorm.comp_add_le Seminorm.comp_add_leₓ'. -/
@@ -525,7 +525,7 @@ theorem smul_comp (p : Seminorm 𝕜₂ E₂) (f : E →ₛₗ[σ₁₂] E₂) (
 
 /- warning: seminorm.comp_mono -> Seminorm.comp_mono is a dubious translation:
 lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {𝕜₂ : Type.{u2}} {E : Type.{u3}} {E₂ : Type.{u4}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : SeminormedRing.{u2} 𝕜₂] {σ₁₂ : RingHom.{u1, u2} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))} [_inst_4 : RingHomIsometric.{u1, u2} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (SeminormedRing.toHasNorm.{u1} 𝕜 _inst_1) (SeminormedRing.toHasNorm.{u2} 𝕜₂ _inst_2) σ₁₂] [_inst_7 : AddCommGroup.{u3} E] [_inst_8 : AddCommGroup.{u4} E₂] [_inst_12 : Module.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)] [_inst_13 : Module.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)] {p : Seminorm.{u2, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))} {q : Seminorm.{u2, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))} (f : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_12 _inst_13), (LE.le.{u4} (Seminorm.{u2, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))) (Preorder.toLE.{u4} (Seminorm.{u2, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))) (PartialOrder.toPreorder.{u4} (Seminorm.{u2, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))) (Seminorm.partialOrder.{u2, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))))) p q) -> (LE.le.{u3} (Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))) (Preorder.toLE.{u3} (Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))) (PartialOrder.toPreorder.{u3} (Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))) (Seminorm.partialOrder.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))))) (Seminorm.comp.{u1, u2, u3, u4} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 p f) (Seminorm.comp.{u1, u2, u3, u4} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 q f))
+  forall {𝕜 : Type.{u1}} {𝕜₂ : Type.{u2}} {E : Type.{u3}} {E₂ : Type.{u4}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : SeminormedRing.{u2} 𝕜₂] {σ₁₂ : RingHom.{u1, u2} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))} [_inst_4 : RingHomIsometric.{u1, u2} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (SeminormedRing.toHasNorm.{u1} 𝕜 _inst_1) (SeminormedRing.toHasNorm.{u2} 𝕜₂ _inst_2) σ₁₂] [_inst_7 : AddCommGroup.{u3} E] [_inst_8 : AddCommGroup.{u4} E₂] [_inst_12 : Module.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)] [_inst_13 : Module.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)] {p : Seminorm.{u2, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))} {q : Seminorm.{u2, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))} (f : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_12 _inst_13), (LE.le.{u4} (Seminorm.{u2, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))) (Preorder.toHasLe.{u4} (Seminorm.{u2, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))) (PartialOrder.toPreorder.{u4} (Seminorm.{u2, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))) (Seminorm.partialOrder.{u2, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))))) p q) -> (LE.le.{u3} (Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))) (Preorder.toHasLe.{u3} (Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))) (PartialOrder.toPreorder.{u3} (Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))) (Seminorm.partialOrder.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))))) (Seminorm.comp.{u1, u2, u3, u4} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 p f) (Seminorm.comp.{u1, u2, u3, u4} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 q f))
 but is expected to have type
   forall {𝕜 : Type.{u2}} {𝕜₂ : Type.{u4}} {E : Type.{u1}} {E₂ : Type.{u3}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_2 : SeminormedRing.{u4} 𝕜₂] {σ₁₂ : RingHom.{u2, u4} 𝕜 𝕜₂ (Semiring.toNonAssocSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (Semiring.toNonAssocSemiring.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))} [_inst_4 : RingHomIsometric.{u2, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (SeminormedRing.toNorm.{u2} 𝕜 _inst_1) (SeminormedRing.toNorm.{u4} 𝕜₂ _inst_2) σ₁₂] [_inst_7 : AddCommGroup.{u1} E] [_inst_8 : AddCommGroup.{u3} E₂] [_inst_12 : Module.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7)] [_inst_13 : Module.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8)] {p : Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))} {q : Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))} (f : LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_12 _inst_13), (LE.le.{u3} (Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) (Preorder.toLE.{u3} (Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) (PartialOrder.toPreorder.{u3} (Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) (Seminorm.instPartialOrder.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))))) p q) -> (LE.le.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (Preorder.toLE.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (PartialOrder.toPreorder.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (Seminorm.instPartialOrder.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))))) (Seminorm.comp.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 p f) (Seminorm.comp.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 q f))
 Case conversion may be inaccurate. Consider using '#align seminorm.comp_mono Seminorm.comp_monoₓ'. -/
@@ -550,9 +550,9 @@ instance : OrderBot (Seminorm 𝕜 E) :=
 
 /- warning: seminorm.coe_bot -> Seminorm.coe_bot is a dubious translation:
 lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_7 : AddCommGroup.{u2} E] [_inst_12 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)], Eq.{succ u2} (E -> Real) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (fun (_x : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Bot.bot.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (OrderBot.toHasBot.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Preorder.toLE.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (PartialOrder.toPreorder.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Seminorm.partialOrder.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))))) (Seminorm.orderBot.{u1, u2} 𝕜 E _inst_1 _inst_7 _inst_12)))) (OfNat.ofNat.{u2} (E -> Real) 0 (OfNat.mk.{u2} (E -> Real) 0 (Zero.zero.{u2} (E -> Real) (Pi.instZero.{u2, 0} E (fun (ᾰ : E) => Real) (fun (i : E) => Real.hasZero)))))
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_7 : AddCommGroup.{u2} E] [_inst_12 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)], Eq.{succ u2} (E -> Real) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (fun (_x : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Bot.bot.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (OrderBot.toHasBot.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Preorder.toHasLe.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (PartialOrder.toPreorder.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Seminorm.partialOrder.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))))) (Seminorm.orderBot.{u1, u2} 𝕜 E _inst_1 _inst_7 _inst_12)))) (OfNat.ofNat.{u2} (E -> Real) 0 (OfNat.mk.{u2} (E -> Real) 0 (Zero.zero.{u2} (E -> Real) (Pi.instZero.{u2, 0} E (fun (ᾰ : E) => Real) (fun (i : E) => Real.hasZero)))))
 but is expected to have type
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_7 : AddCommGroup.{u2} E] [_inst_12 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)], Eq.{succ u2} (forall (ᾰ : E), (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) ᾰ) (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_7))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_7) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))) (Seminorm.instSeminormClass.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))))))) (Bot.bot.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (OrderBot.toBot.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Preorder.toLE.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (PartialOrder.toPreorder.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Seminorm.instPartialOrder.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))))) (Seminorm.instOrderBot.{u1, u2} 𝕜 E _inst_1 _inst_7 _inst_12)))) (OfNat.ofNat.{u2} (forall (ᾰ : E), (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) ᾰ) 0 (Zero.toOfNat0.{u2} (forall (a : E), (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) a) (Pi.instZero.{u2, 0} E (fun (a : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) a) (fun (i : E) => Real.instZeroReal))))
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_7 : AddCommGroup.{u2} E] [_inst_12 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)], Eq.{succ u2} (forall (ᾰ : E), (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) ᾰ) (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_7))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_7) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))) (Seminorm.instSeminormClass.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))))))) (Bot.bot.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (OrderBot.toBot.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Preorder.toLE.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (PartialOrder.toPreorder.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Seminorm.instPartialOrder.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))))) (Seminorm.instOrderBot.{u1, u2} 𝕜 E _inst_1 _inst_7 _inst_12)))) (OfNat.ofNat.{u2} (forall (ᾰ : E), (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) ᾰ) 0 (Zero.toOfNat0.{u2} (forall (a : E), (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) a) (Pi.instZero.{u2, 0} E (fun (a : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) a) (fun (i : E) => Real.instZeroReal))))
 Case conversion may be inaccurate. Consider using '#align seminorm.coe_bot Seminorm.coe_botₓ'. -/
 @[simp]
 theorem coe_bot : ⇑(⊥ : Seminorm 𝕜 E) = 0 :=
@@ -561,7 +561,7 @@ theorem coe_bot : ⇑(⊥ : Seminorm 𝕜 E) = 0 :=
 
 /- warning: seminorm.bot_eq_zero -> Seminorm.bot_eq_zero is a dubious translation:
 lean 3 declaration is
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(Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Bot.bot.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} 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(SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (PartialOrder.toPreorder.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Seminorm.partialOrder.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))))) (Seminorm.orderBot.{u1, u2} 𝕜 E _inst_1 _inst_7 _inst_12))) (OfNat.ofNat.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) 0 (OfNat.mk.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) 0 (Zero.zero.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Seminorm.hasZero.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))))))
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_7 : AddCommGroup.{u2} E] [_inst_12 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)], Eq.{succ u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Bot.bot.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (OrderBot.toHasBot.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Preorder.toHasLe.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (PartialOrder.toPreorder.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Seminorm.partialOrder.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))))) (Seminorm.orderBot.{u1, u2} 𝕜 E _inst_1 _inst_7 _inst_12))) (OfNat.ofNat.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) 0 (OfNat.mk.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) 0 (Zero.zero.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Seminorm.hasZero.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))))))
 but is expected to have type
   forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_7 : AddCommGroup.{u2} E] [_inst_12 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)], Eq.{succ u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Bot.bot.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (OrderBot.toBot.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Preorder.toLE.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (PartialOrder.toPreorder.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Seminorm.instPartialOrder.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))))) (Seminorm.instOrderBot.{u1, u2} 𝕜 E _inst_1 _inst_7 _inst_12))) (OfNat.ofNat.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) 0 (Zero.toOfNat0.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Seminorm.instZero.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))))))
 Case conversion may be inaccurate. Consider using '#align seminorm.bot_eq_zero Seminorm.bot_eq_zeroₓ'. -/
@@ -571,7 +571,7 @@ theorem bot_eq_zero : (⊥ : Seminorm 𝕜 E) = 0 :=
 
 /- warning: seminorm.smul_le_smul -> Seminorm.smul_le_smul is a dubious translation:
 lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_7 : AddCommGroup.{u2} E] [_inst_12 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)] {p : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))} {q : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))} {a : NNReal} {b : NNReal}, (LE.le.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Preorder.toLE.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (PartialOrder.toPreorder.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Seminorm.partialOrder.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))))) p q) -> (LE.le.{0} NNReal (Preorder.toLE.{0} NNReal (PartialOrder.toPreorder.{0} NNReal (OrderedCancelAddCommMonoid.toPartialOrder.{0} NNReal (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} NNReal NNReal.strictOrderedSemiring)))) a b) -> (LE.le.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Preorder.toLE.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (PartialOrder.toPreorder.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Seminorm.partialOrder.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))))) (SMul.smul.{0, u2} NNReal (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Seminorm.hasSmul.{0, u1, u2} NNReal 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))) (MulAction.toHasSmul.{0, 0} NNReal Real (MonoidWithZero.toMonoid.{0} NNReal (Semiring.toMonoidWithZero.{0} NNReal NNReal.semiring)) (NNReal.mulAction.{0} Real (Monoid.toMulAction.{0} Real Real.monoid))) (Mul.toSMul.{0} NNReal (MulOneClass.toHasMul.{0} NNReal (Monoid.toMulOneClass.{0} NNReal (MonoidWithZero.toMonoid.{0} NNReal (Semiring.toMonoidWithZero.{0} NNReal NNReal.semiring))))) (IsScalarTower.left.{0, 0} NNReal Real (MonoidWithZero.toMonoid.{0} NNReal (Semiring.toMonoidWithZero.{0} NNReal NNReal.semiring)) (NNReal.mulAction.{0} Real (Monoid.toMulAction.{0} Real Real.monoid)))) a p) (SMul.smul.{0, u2} NNReal (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Seminorm.hasSmul.{0, u1, u2} NNReal 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))) (MulAction.toHasSmul.{0, 0} NNReal Real (MonoidWithZero.toMonoid.{0} NNReal (Semiring.toMonoidWithZero.{0} NNReal NNReal.semiring)) (NNReal.mulAction.{0} Real (Monoid.toMulAction.{0} Real Real.monoid))) (Mul.toSMul.{0} NNReal (MulOneClass.toHasMul.{0} NNReal (Monoid.toMulOneClass.{0} NNReal (MonoidWithZero.toMonoid.{0} NNReal (Semiring.toMonoidWithZero.{0} NNReal NNReal.semiring))))) (IsScalarTower.left.{0, 0} NNReal Real (MonoidWithZero.toMonoid.{0} NNReal (Semiring.toMonoidWithZero.{0} NNReal NNReal.semiring)) (NNReal.mulAction.{0} Real (Monoid.toMulAction.{0} Real Real.monoid)))) b q))
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_7 : AddCommGroup.{u2} E] [_inst_12 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)] {p : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))} {q : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))} {a : NNReal} {b : NNReal}, (LE.le.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Preorder.toHasLe.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (PartialOrder.toPreorder.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Seminorm.partialOrder.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))))) p q) -> (LE.le.{0} NNReal (Preorder.toHasLe.{0} NNReal (PartialOrder.toPreorder.{0} NNReal (OrderedCancelAddCommMonoid.toPartialOrder.{0} NNReal (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} NNReal NNReal.strictOrderedSemiring)))) a b) -> (LE.le.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Preorder.toHasLe.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (PartialOrder.toPreorder.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Seminorm.partialOrder.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))))) (SMul.smul.{0, u2} NNReal (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Seminorm.hasSmul.{0, u1, u2} NNReal 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))) (MulAction.toHasSmul.{0, 0} NNReal Real (MonoidWithZero.toMonoid.{0} NNReal (Semiring.toMonoidWithZero.{0} NNReal NNReal.semiring)) (NNReal.mulAction.{0} Real (Monoid.toMulAction.{0} Real Real.monoid))) (Mul.toSMul.{0} NNReal (MulOneClass.toHasMul.{0} NNReal (Monoid.toMulOneClass.{0} NNReal (MonoidWithZero.toMonoid.{0} NNReal (Semiring.toMonoidWithZero.{0} NNReal NNReal.semiring))))) (IsScalarTower.left.{0, 0} NNReal Real (MonoidWithZero.toMonoid.{0} NNReal (Semiring.toMonoidWithZero.{0} NNReal NNReal.semiring)) (NNReal.mulAction.{0} Real (Monoid.toMulAction.{0} Real Real.monoid)))) a p) (SMul.smul.{0, u2} NNReal (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Seminorm.hasSmul.{0, u1, u2} NNReal 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))) (MulAction.toHasSmul.{0, 0} NNReal Real (MonoidWithZero.toMonoid.{0} NNReal (Semiring.toMonoidWithZero.{0} NNReal NNReal.semiring)) (NNReal.mulAction.{0} Real (Monoid.toMulAction.{0} Real Real.monoid))) (Mul.toSMul.{0} NNReal (MulOneClass.toHasMul.{0} NNReal (Monoid.toMulOneClass.{0} NNReal (MonoidWithZero.toMonoid.{0} NNReal (Semiring.toMonoidWithZero.{0} NNReal NNReal.semiring))))) (IsScalarTower.left.{0, 0} NNReal Real (MonoidWithZero.toMonoid.{0} NNReal (Semiring.toMonoidWithZero.{0} NNReal NNReal.semiring)) (NNReal.mulAction.{0} Real (Monoid.toMulAction.{0} Real Real.monoid)))) b q))
 but is expected to have type
   forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_7 : AddCommGroup.{u1} E] [_inst_12 : Module.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7)] {p : Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))} {q : Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))} {a : NNReal} {b : NNReal}, (LE.le.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (Preorder.toLE.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (PartialOrder.toPreorder.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (Seminorm.instPartialOrder.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))))) p q) -> (LE.le.{0} NNReal (Preorder.toLE.{0} NNReal (PartialOrder.toPreorder.{0} NNReal (StrictOrderedSemiring.toPartialOrder.{0} NNReal instNNRealStrictOrderedSemiring))) a b) -> (LE.le.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (Preorder.toLE.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (PartialOrder.toPreorder.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (Seminorm.instPartialOrder.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))))) (HSMul.hSMul.{0, u1, u1} NNReal (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (instHSMul.{0, u1} NNReal (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (Seminorm.instSMul.{0, u2, u1} NNReal 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12)))) Seminorm.smul_nnreal_real (Algebra.toSMul.{0, 0} NNReal NNReal instNNRealCommSemiring instNNRealSemiring (Algebra.id.{0} NNReal instNNRealCommSemiring)) (IsScalarTower.left.{0, 0} NNReal Real (MonoidWithZero.toMonoid.{0} NNReal (Semiring.toMonoidWithZero.{0} NNReal instNNRealSemiring)) (NNReal.instMulActionNNRealToMonoidToMonoidWithZeroInstNNRealSemiring.{0} Real (MulActionWithZero.toMulAction.{0, 0} Real Real Real.instMonoidWithZeroReal Real.instZeroReal (MonoidWithZero.toMulActionWithZero.{0} Real Real.instMonoidWithZeroReal)))))) a p) (HSMul.hSMul.{0, u1, u1} NNReal (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (instHSMul.{0, u1} NNReal (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (Seminorm.instSMul.{0, u2, u1} NNReal 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12)))) Seminorm.smul_nnreal_real (Algebra.toSMul.{0, 0} NNReal NNReal instNNRealCommSemiring instNNRealSemiring (Algebra.id.{0} NNReal instNNRealCommSemiring)) (IsScalarTower.left.{0, 0} NNReal Real (MonoidWithZero.toMonoid.{0} NNReal (Semiring.toMonoidWithZero.{0} NNReal instNNRealSemiring)) (NNReal.instMulActionNNRealToMonoidToMonoidWithZeroInstNNRealSemiring.{0} Real (MulActionWithZero.toMulAction.{0, 0} Real Real Real.instMonoidWithZeroReal Real.instZeroReal (MonoidWithZero.toMulActionWithZero.{0} Real Real.instMonoidWithZeroReal)))))) b q))
 Case conversion may be inaccurate. Consider using '#align seminorm.smul_le_smul Seminorm.smul_le_smulₓ'. -/
@@ -587,7 +587,7 @@ theorem smul_le_smul {p q : Seminorm 𝕜 E} {a b : ℝ≥0} (hpq : p ≤ q) (ha
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {E : Type.{u2}} {ι : Type.{u3}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_7 : AddCommGroup.{u2} E] [_inst_12 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)] (p : ι -> (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))))) (s : Finset.{u3} ι) (x : E), Eq.{1} Real (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (fun (_x : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Finset.sup.{u2, u3} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) ι (Seminorm.semilatticeSup.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Seminorm.orderBot.{u1, u2} 𝕜 E _inst_1 _inst_7 _inst_12) s p) x) ((fun (a : Type) (b : Type) [self : HasLiftT.{1, 1} a b] => self.0) NNReal Real (HasLiftT.mk.{1, 1} NNReal Real (CoeTCₓ.coe.{1, 1} NNReal Real (coeBase.{1, 1} NNReal Real NNReal.Real.hasCoe))) (Finset.sup.{0, u3} NNReal ι NNReal.semilatticeSup NNReal.orderBot s (fun (i : ι) => Subtype.mk.{1} Real (fun (r : Real) => LE.le.{0} Real Real.hasLe (OfNat.ofNat.{0} Real 0 (OfNat.mk.{0} Real 0 (Zero.zero.{0} Real Real.hasZero))) r) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (fun (_x : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (p i) x) (NonnegHomClass.map_nonneg.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) E Real Real.hasZero Real.hasLe (AddGroupSeminormClass.toNonnegHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_7) (LinearOrderedSemiring.toLinearOrderedAddCommMonoid.{0} Real Real.linearOrderedSemiring) (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))) (Seminorm.instSeminormClass.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))))) (p i) x))))
 but is expected to have type
-  forall {𝕜 : Type.{u3}} {E : Type.{u2}} {ι : Type.{u1}} [_inst_1 : SeminormedRing.{u3} 𝕜] [_inst_7 : AddCommGroup.{u2} E] [_inst_12 : Module.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)] (p : ι -> (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))))) (s : Finset.{u1} ι) (x : E), Eq.{1} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) x) (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_7))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_7) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u3, u2} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))) (Seminorm.instSeminormClass.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))))))) (Finset.sup.{u2, u1} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) ι (Seminorm.instSemilatticeSup.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Seminorm.instOrderBot.{u3, u2} 𝕜 E _inst_1 _inst_7 _inst_12) s p) x) (NNReal.toReal (Finset.sup.{0, u1} NNReal ι instNNRealSemilatticeSup NNReal.instOrderBotNNRealToLEToPreorderToPartialOrderInstNNRealStrictOrderedSemiring s (fun (i : ι) => Subtype.mk.{1} Real (fun (r : Real) => LE.le.{0} Real Real.instLEReal (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) r) (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_7))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_7) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u3, u2} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))) (Seminorm.instSeminormClass.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))))))) (p i) x) (NonnegHomClass.map_nonneg.{u2, u2, 0} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) E Real (AddMonoid.toZero.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (LinearOrderedAddCommMonoid.toAddCommMonoid.{0} Real (LinearOrderedSemiring.toLinearOrderedAddCommMonoid.{0} Real Real.instLinearOrderedSemiringReal)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real (LinearOrderedAddCommMonoid.toOrderedAddCommMonoid.{0} Real (LinearOrderedSemiring.toLinearOrderedAddCommMonoid.{0} Real Real.instLinearOrderedSemiringReal))))) (AddGroupSeminormClass.toNonnegHomClass.{u2, u2, 0} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_7) (LinearOrderedSemiring.toLinearOrderedAddCommMonoid.{0} Real Real.instLinearOrderedSemiringReal) (SeminormClass.toAddGroupSeminormClass.{u2, u3, u2} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))) (Seminorm.instSeminormClass.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))))) (p i) x))))
+  forall {𝕜 : Type.{u3}} {E : Type.{u2}} {ι : Type.{u1}} [_inst_1 : SeminormedRing.{u3} 𝕜] [_inst_7 : AddCommGroup.{u2} E] [_inst_12 : Module.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)] (p : ι -> (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))))) (s : Finset.{u1} ι) (x : E), Eq.{1} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) x) (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_7))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_7) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u3, u2} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))) (Seminorm.instSeminormClass.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))))))) (Finset.sup.{u2, u1} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) ι (Seminorm.instSemilatticeSup.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Seminorm.instOrderBot.{u3, u2} 𝕜 E _inst_1 _inst_7 _inst_12) s p) x) (NNReal.toReal (Finset.sup.{0, u1} NNReal ι instNNRealSemilatticeSup NNReal.instOrderBotNNRealToLEToPreorderToPartialOrderInstNNRealStrictOrderedSemiring s (fun (i : ι) => Subtype.mk.{1} Real (fun (r : Real) => LE.le.{0} Real Real.instLEReal (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) r) (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_7))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_7) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u3, u2} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))) (Seminorm.instSeminormClass.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))))))) (p i) x) (NonnegHomClass.map_nonneg.{u2, u2, 0} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) E Real (AddMonoid.toZero.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (LinearOrderedAddCommMonoid.toAddCommMonoid.{0} Real (LinearOrderedSemiring.toLinearOrderedAddCommMonoid.{0} Real Real.instLinearOrderedSemiringReal)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real (LinearOrderedAddCommMonoid.toOrderedAddCommMonoid.{0} Real (LinearOrderedSemiring.toLinearOrderedAddCommMonoid.{0} Real Real.instLinearOrderedSemiringReal))))) (AddGroupSeminormClass.toNonnegHomClass.{u2, u2, 0} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_7) (LinearOrderedSemiring.toLinearOrderedAddCommMonoid.{0} Real Real.instLinearOrderedSemiringReal) (SeminormClass.toAddGroupSeminormClass.{u2, u3, u2} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))) (Seminorm.instSeminormClass.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))))) (p i) x))))
 Case conversion may be inaccurate. Consider using '#align seminorm.finset_sup_apply Seminorm.finset_sup_applyₓ'. -/
 theorem finset_sup_apply (p : ι → Seminorm 𝕜 E) (s : Finset ι) (x : E) :
     s.sup p x = ↑(s.sup fun i => ⟨p i x, map_nonneg (p i) x⟩ : ℝ≥0) :=
@@ -603,7 +603,7 @@ theorem finset_sup_apply (p : ι → Seminorm 𝕜 E) (s : Finset ι) (x : E) :
 
 /- warning: seminorm.finset_sup_le_sum -> Seminorm.finset_sup_le_sum is a dubious translation:
 lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} {ι : Type.{u3}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_7 : AddCommGroup.{u2} E] [_inst_12 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)] (p : ι -> (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))))) (s : Finset.{u3} ι), LE.le.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Preorder.toLE.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (PartialOrder.toPreorder.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Seminorm.partialOrder.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))))) (Finset.sup.{u2, u3} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) ι (Seminorm.semilatticeSup.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Seminorm.orderBot.{u1, u2} 𝕜 E _inst_1 _inst_7 _inst_12) s p) (Finset.sum.{u2, u3} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) ι (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Seminorm.orderedCancelAddCommMonoid.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))))) s (fun (i : ι) => p i))
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} {ι : Type.{u3}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_7 : AddCommGroup.{u2} E] [_inst_12 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)] (p : ι -> (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))))) (s : Finset.{u3} ι), LE.le.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Preorder.toHasLe.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (PartialOrder.toPreorder.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Seminorm.partialOrder.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))))) (Finset.sup.{u2, u3} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) ι (Seminorm.semilatticeSup.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Seminorm.orderBot.{u1, u2} 𝕜 E _inst_1 _inst_7 _inst_12) s p) (Finset.sum.{u2, u3} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) ι (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Seminorm.orderedCancelAddCommMonoid.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))))) s (fun (i : ι) => p i))
 but is expected to have type
   forall {𝕜 : Type.{u3}} {E : Type.{u2}} {ι : Type.{u1}} [_inst_1 : SeminormedRing.{u3} 𝕜] [_inst_7 : AddCommGroup.{u2} E] [_inst_12 : Module.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)] (p : ι -> (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))))) (s : Finset.{u1} ι), LE.le.{u2} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Preorder.toLE.{u2} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (PartialOrder.toPreorder.{u2} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Seminorm.instPartialOrder.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))))) (Finset.sup.{u2, u1} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) ι (Seminorm.instSemilatticeSup.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Seminorm.instOrderBot.{u3, u2} 𝕜 E _inst_1 _inst_7 _inst_12) s p) (Finset.sum.{u2, u1} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) ι (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Seminorm.instOrderedCancelAddCommMonoid.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))))) s (fun (i : ι) => p i))
 Case conversion may be inaccurate. Consider using '#align seminorm.finset_sup_le_sum Seminorm.finset_sup_le_sumₓ'. -/
@@ -619,7 +619,7 @@ theorem finset_sup_le_sum (p : ι → Seminorm 𝕜 E) (s : Finset ι) : s.sup p
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {E : Type.{u2}} {ι : Type.{u3}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_7 : AddCommGroup.{u2} E] [_inst_12 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)] {p : ι -> (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))))} {s : Finset.{u3} ι} {x : E} {a : Real}, (LE.le.{0} Real Real.hasLe (OfNat.ofNat.{0} Real 0 (OfNat.mk.{0} Real 0 (Zero.zero.{0} Real Real.hasZero))) a) -> (forall (i : ι), (Membership.Mem.{u3, u3} ι (Finset.{u3} ι) (Finset.hasMem.{u3} ι) i s) -> (LE.le.{0} Real Real.hasLe (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (fun (_x : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (p i) x) a)) -> (LE.le.{0} Real Real.hasLe (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (fun (_x : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Finset.sup.{u2, u3} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) ι (Seminorm.semilatticeSup.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Seminorm.orderBot.{u1, u2} 𝕜 E _inst_1 _inst_7 _inst_12) s p) x) a)
 but is expected to have type
-  forall {𝕜 : Type.{u3}} {E : Type.{u2}} {ι : Type.{u1}} [_inst_1 : SeminormedRing.{u3} 𝕜] [_inst_7 : AddCommGroup.{u2} E] [_inst_12 : Module.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)] {p : ι -> (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))))} {s : Finset.{u1} ι} {x : E} {a : Real}, (LE.le.{0} Real Real.instLEReal (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) a) -> (forall (i : ι), (Membership.mem.{u1, u1} ι (Finset.{u1} ι) (Finset.instMembershipFinset.{u1} ι) i s) -> (LE.le.{0} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) x) Real.instLEReal (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_7))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_7) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u3, u2} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))) (Seminorm.instSeminormClass.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))))))) (p i) x) a)) -> (LE.le.{0} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) x) Real.instLEReal (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_7))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_7) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u3, u2} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))) (Seminorm.instSeminormClass.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))))))) (Finset.sup.{u2, u1} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) ι (Seminorm.instSemilatticeSup.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Seminorm.instOrderBot.{u3, u2} 𝕜 E _inst_1 _inst_7 _inst_12) s p) x) a)
+  forall {𝕜 : Type.{u3}} {E : Type.{u2}} {ι : Type.{u1}} [_inst_1 : SeminormedRing.{u3} 𝕜] [_inst_7 : AddCommGroup.{u2} E] [_inst_12 : Module.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)] {p : ι -> (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))))} {s : Finset.{u1} ι} {x : E} {a : Real}, (LE.le.{0} Real Real.instLEReal (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) a) -> (forall (i : ι), (Membership.mem.{u1, u1} ι (Finset.{u1} ι) (Finset.instMembershipFinset.{u1} ι) i s) -> (LE.le.{0} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) x) Real.instLEReal (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_7))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_7) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u3, u2} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))) (Seminorm.instSeminormClass.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))))))) (p i) x) a)) -> (LE.le.{0} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) x) Real.instLEReal (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_7))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_7) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u3, u2} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))) (Seminorm.instSeminormClass.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))))))) (Finset.sup.{u2, u1} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) ι (Seminorm.instSemilatticeSup.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Seminorm.instOrderBot.{u3, u2} 𝕜 E _inst_1 _inst_7 _inst_12) s p) x) a)
 Case conversion may be inaccurate. Consider using '#align seminorm.finset_sup_apply_le Seminorm.finset_sup_apply_leₓ'. -/
 theorem finset_sup_apply_le {p : ι → Seminorm 𝕜 E} {s : Finset ι} {x : E} {a : ℝ} (ha : 0 ≤ a)
     (h : ∀ i, i ∈ s → p i x ≤ a) : s.sup p x ≤ a :=
@@ -633,7 +633,7 @@ theorem finset_sup_apply_le {p : ι → Seminorm 𝕜 E} {s : Finset ι} {x : E}
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {E : Type.{u2}} {ι : Type.{u3}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_7 : AddCommGroup.{u2} E] [_inst_12 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)] {p : ι -> (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))))} {s : Finset.{u3} ι} {x : E} {a : Real}, (LT.lt.{0} Real Real.hasLt (OfNat.ofNat.{0} Real 0 (OfNat.mk.{0} Real 0 (Zero.zero.{0} Real Real.hasZero))) a) -> (forall (i : ι), (Membership.Mem.{u3, u3} ι (Finset.{u3} ι) (Finset.hasMem.{u3} ι) i s) -> (LT.lt.{0} Real Real.hasLt (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (fun (_x : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (p i) x) a)) -> (LT.lt.{0} Real Real.hasLt (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (fun (_x : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Finset.sup.{u2, u3} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) ι (Seminorm.semilatticeSup.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Seminorm.orderBot.{u1, u2} 𝕜 E _inst_1 _inst_7 _inst_12) s p) x) a)
 but is expected to have type
-  forall {𝕜 : Type.{u3}} {E : Type.{u2}} {ι : Type.{u1}} [_inst_1 : SeminormedRing.{u3} 𝕜] [_inst_7 : AddCommGroup.{u2} E] [_inst_12 : Module.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)] {p : ι -> (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))))} {s : Finset.{u1} ι} {x : E} {a : Real}, (LT.lt.{0} Real Real.instLTReal (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) a) -> (forall (i : ι), (Membership.mem.{u1, u1} ι (Finset.{u1} ι) (Finset.instMembershipFinset.{u1} ι) i s) -> (LT.lt.{0} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) x) Real.instLTReal (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_7))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_7) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u3, u2} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))) (Seminorm.instSeminormClass.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))))))) (p i) x) a)) -> (LT.lt.{0} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) x) Real.instLTReal (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_7))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_7) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u3, u2} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))) (Seminorm.instSeminormClass.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))))))) (Finset.sup.{u2, u1} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) ι (Seminorm.instSemilatticeSup.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Seminorm.instOrderBot.{u3, u2} 𝕜 E _inst_1 _inst_7 _inst_12) s p) x) a)
+  forall {𝕜 : Type.{u3}} {E : Type.{u2}} {ι : Type.{u1}} [_inst_1 : SeminormedRing.{u3} 𝕜] [_inst_7 : AddCommGroup.{u2} E] [_inst_12 : Module.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)] {p : ι -> (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))))} {s : Finset.{u1} ι} {x : E} {a : Real}, (LT.lt.{0} Real Real.instLTReal (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) a) -> (forall (i : ι), (Membership.mem.{u1, u1} ι (Finset.{u1} ι) (Finset.instMembershipFinset.{u1} ι) i s) -> (LT.lt.{0} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) x) Real.instLTReal (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_7))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_7) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u3, u2} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))) (Seminorm.instSeminormClass.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))))))) (p i) x) a)) -> (LT.lt.{0} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) x) Real.instLTReal (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_7))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_7) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u3, u2} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))) (Seminorm.instSeminormClass.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))))))) (Finset.sup.{u2, u1} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) ι (Seminorm.instSemilatticeSup.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Seminorm.instOrderBot.{u3, u2} 𝕜 E _inst_1 _inst_7 _inst_12) s p) x) a)
 Case conversion may be inaccurate. Consider using '#align seminorm.finset_sup_apply_lt Seminorm.finset_sup_apply_ltₓ'. -/
 theorem finset_sup_apply_lt {p : ι → Seminorm 𝕜 E} {s : Finset ι} {x : E} {a : ℝ} (ha : 0 < a)
     (h : ∀ i, i ∈ s → p i x < a) : s.sup p x < a :=
@@ -648,7 +648,7 @@ theorem finset_sup_apply_lt {p : ι → Seminorm 𝕜 E} {s : Finset ι} {x : E}
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_7 : AddCommGroup.{u2} E] [_inst_12 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)] (p : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (x : E) (y : E), LE.le.{0} Real Real.hasLe (Norm.norm.{0} Real Real.hasNorm (HSub.hSub.{0, 0, 0} Real Real Real (instHSub.{0} Real Real.hasSub) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (fun (_x : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) p x) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (fun (_x : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) p y))) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (fun (_x : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) p (HSub.hSub.{u2, u2, u2} E E E (instHSub.{u2} E (SubNegMonoid.toHasSub.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_7)))) x y))
 but is expected to have type
-  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_7 : AddCommGroup.{u1} E] [_inst_12 : Module.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7)] (p : Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (x : E) (y : E), LE.le.{0} Real Real.instLEReal (Norm.norm.{0} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) x) Real.norm (HSub.hSub.{0, 0, 0} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) x) ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) y) ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) x) (instHSub.{0} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) x) Real.instSubReal) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_7))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) E Real (AddCommGroup.toAddGroup.{u1} E _inst_7) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12)))) (Seminorm.instSeminormClass.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12)))))))) p x) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_7))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) E Real (AddCommGroup.toAddGroup.{u1} E _inst_7) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12)))) (Seminorm.instSeminormClass.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12)))))))) p y))) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_7))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) E Real (AddCommGroup.toAddGroup.{u1} E _inst_7) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12)))) (Seminorm.instSeminormClass.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12)))))))) p (HSub.hSub.{u1, u1, u1} E E E (instHSub.{u1} E (SubNegMonoid.toSub.{u1} E (AddGroup.toSubNegMonoid.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_7)))) x y))
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_7 : AddCommGroup.{u1} E] [_inst_12 : Module.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7)] (p : Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (x : E) (y : E), LE.le.{0} Real Real.instLEReal (Norm.norm.{0} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) x) Real.norm (HSub.hSub.{0, 0, 0} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) x) ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) y) ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) x) (instHSub.{0} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) x) Real.instSubReal) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_7))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) E Real (AddCommGroup.toAddGroup.{u1} E _inst_7) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12)))) (Seminorm.instSeminormClass.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12)))))))) p x) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_7))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) E Real (AddCommGroup.toAddGroup.{u1} E _inst_7) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12)))) (Seminorm.instSeminormClass.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12)))))))) p y))) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_7))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) E Real (AddCommGroup.toAddGroup.{u1} E _inst_7) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12)))) (Seminorm.instSeminormClass.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12)))))))) p (HSub.hSub.{u1, u1, u1} E E E (instHSub.{u1} E (SubNegMonoid.toSub.{u1} E (AddGroup.toSubNegMonoid.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_7)))) x y))
 Case conversion may be inaccurate. Consider using '#align seminorm.norm_sub_map_le_sub Seminorm.norm_sub_map_le_subₓ'. -/
 theorem norm_sub_map_le_sub (p : Seminorm 𝕜 E) (x y : E) : ‖p x - p y‖ ≤ p (x - y) :=
   abs_sub_map_le_sub p x y
@@ -683,7 +683,7 @@ theorem comp_smul (p : Seminorm 𝕜₂ E₂) (f : E →ₛₗ[σ₁₂] E₂) (
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {𝕜₂ : Type.{u2}} {E : Type.{u3}} {E₂ : Type.{u4}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : SeminormedCommRing.{u2} 𝕜₂] {σ₁₂ : RingHom.{u1, u2} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))))} [_inst_3 : RingHomIsometric.{u1, u2} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))) (SeminormedRing.toHasNorm.{u1} 𝕜 _inst_1) (SeminormedRing.toHasNorm.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2)) σ₁₂] [_inst_4 : AddCommGroup.{u3} E] [_inst_5 : AddCommGroup.{u4} E₂] [_inst_6 : Module.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)] [_inst_7 : Module.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)] (p : Seminorm.{u2, u4} 𝕜₂ E₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2) (AddCommGroup.toAddGroup.{u4} E₂ _inst_5) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2)))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_7))))) (f : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_4) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_6 _inst_7) (c : 𝕜₂) (x : E), Eq.{1} Real (coeFn.{succ u3, succ u3} (Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_4) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_4) _inst_6))))) (fun (_x : Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_4) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_4) _inst_6))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_4) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_4) _inst_6))))) (Seminorm.comp.{u1, u2, u3, u4} 𝕜 𝕜₂ E E₂ _inst_1 (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2) σ₁₂ _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 p (SMul.smul.{u2, max u3 u4} 𝕜₂ (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_4) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_6 _inst_7) (LinearMap.hasSmul.{u1, u2, u2, u3, u4} 𝕜 𝕜₂ 𝕜₂ E E₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_4) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_6 _inst_7 σ₁₂ (Ring.toMonoid.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))) (Module.toDistribMulAction.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_7) (smulCommClass_self.{u2, u4} 𝕜₂ E₂ (CommRing.toCommMonoid.{u2} 𝕜₂ (SeminormedCommRing.toCommRing.{u2} 𝕜₂ _inst_2)) (MulActionWithZero.toMulAction.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2)))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_7)))) c f)) x) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) (Norm.norm.{u2} 𝕜₂ (SeminormedRing.toHasNorm.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2)) c) (coeFn.{succ u4, succ u4} (Seminorm.{u2, u4} 𝕜₂ E₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2) (AddCommGroup.toAddGroup.{u4} E₂ _inst_5) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2)))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_7))))) (fun (_x : Seminorm.{u2, u4} 𝕜₂ E₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2) (AddCommGroup.toAddGroup.{u4} E₂ _inst_5) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2)))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_7))))) => E₂ -> Real) (Seminorm.hasCoeToFun.{u2, u4} 𝕜₂ E₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2) (AddCommGroup.toAddGroup.{u4} E₂ _inst_5) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2)))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_7))))) p (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_4) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_6 _inst_7) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_4) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_6 _inst_7) => E -> E₂) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜 𝕜₂ E E₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_4) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_6 _inst_7 σ₁₂) f x)))
 but is expected to have type
-  forall {𝕜 : Type.{u2}} {𝕜₂ : Type.{u4}} {E : Type.{u1}} {E₂ : Type.{u3}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_2 : SeminormedCommRing.{u4} 𝕜₂] {σ₁₂ : RingHom.{u2, u4} 𝕜 𝕜₂ (Semiring.toNonAssocSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (Semiring.toNonAssocSemiring.{u4} 𝕜₂ (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))))} [_inst_3 : RingHomIsometric.{u2, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))) (SeminormedRing.toNorm.{u2} 𝕜 _inst_1) (SeminormedRing.toNorm.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2)) σ₁₂] [_inst_4 : AddCommGroup.{u1} E] [_inst_5 : AddCommGroup.{u3} E₂] [_inst_6 : Module.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4)] [_inst_7 : Module.{u4, u3} 𝕜₂ E₂ (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5)] (p : Seminorm.{u4, u3} 𝕜₂ E₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2) (AddCommGroup.toAddGroup.{u3} E₂ _inst_5) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (CommMonoidWithZero.toZero.{u4} 𝕜₂ (CommSemiring.toCommMonoidWithZero.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_7))))) (f : LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_6 _inst_7) (c : 𝕜₂) (x : E), Eq.{1} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) x) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_4) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) _inst_6))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_4) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) _inst_6))))) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_4))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_4) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) _inst_6))))) E Real (AddCommGroup.toAddGroup.{u1} E _inst_4) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_4) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) _inst_6))))) 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_4) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) _inst_6)))) (Seminorm.instSeminormClass.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_4) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) _inst_6)))))))) (Seminorm.comp.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ _inst_1 (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2) σ₁₂ _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 p (HSMul.hSMul.{u4, max u1 u3, max u1 u3} 𝕜₂ (LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_6 _inst_7) (LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_6 _inst_7) (instHSMul.{u4, max u1 u3} 𝕜₂ (LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_6 _inst_7) (LinearMap.instSMulLinearMap.{u2, u4, u4, u1, u3} 𝕜 𝕜₂ 𝕜₂ E E₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_6 _inst_7 σ₁₂ (MonoidWithZero.toMonoid.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))))) (Module.toDistribMulAction.{u4, u3} 𝕜₂ E₂ (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_7) (smulCommClass_self.{u4, u3} 𝕜₂ E₂ (CommRing.toCommMonoid.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2)) (MulActionWithZero.toMulAction.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_7))))) c f)) x) (HMul.hMul.{0, 0, 0} Real ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E₂) => Real) (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_6 _inst_7) E (fun (a : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : E) => E₂) a) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_6 _inst_7 σ₁₂) f x)) Real (instHMul.{0} Real Real.instMulReal) (Norm.norm.{u4} 𝕜₂ (SeminormedRing.toNorm.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2)) c) (FunLike.coe.{succ u3, succ u3, 1} (Seminorm.{u4, u3} 𝕜₂ E₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2) (AddCommGroup.toAddGroup.{u3} E₂ _inst_5) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (CommMonoidWithZero.toZero.{u4} 𝕜₂ (CommSemiring.toCommMonoidWithZero.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_7))))) E₂ (fun (_x : E₂) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E₂) => Real) _x) (SubadditiveHomClass.toFunLike.{u3, u3, 0} (Seminorm.{u4, u3} 𝕜₂ E₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2) (AddCommGroup.toAddGroup.{u3} E₂ _inst_5) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (CommMonoidWithZero.toZero.{u4} 𝕜₂ (CommSemiring.toCommMonoidWithZero.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_7))))) E₂ Real (AddZeroClass.toAdd.{u3} E₂ (AddMonoid.toAddZeroClass.{u3} E₂ (SubNegMonoid.toAddMonoid.{u3} E₂ (AddGroup.toSubNegMonoid.{u3} E₂ (AddCommGroup.toAddGroup.{u3} E₂ _inst_5))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u3, u3, 0} (Seminorm.{u4, u3} 𝕜₂ E₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2) (AddCommGroup.toAddGroup.{u3} E₂ _inst_5) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (CommMonoidWithZero.toZero.{u4} 𝕜₂ (CommSemiring.toCommMonoidWithZero.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_7))))) E₂ Real (AddCommGroup.toAddGroup.{u3} E₂ _inst_5) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u3, u4, u3} (Seminorm.{u4, u3} 𝕜₂ E₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2) (AddCommGroup.toAddGroup.{u3} E₂ _inst_5) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (CommMonoidWithZero.toZero.{u4} 𝕜₂ (CommSemiring.toCommMonoidWithZero.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_7))))) 𝕜₂ E₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2) (AddCommGroup.toAddGroup.{u3} E₂ _inst_5) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (CommMonoidWithZero.toZero.{u4} 𝕜₂ (CommSemiring.toCommMonoidWithZero.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_7)))) (Seminorm.instSeminormClass.{u4, u3} 𝕜₂ E₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2) (AddCommGroup.toAddGroup.{u3} E₂ _inst_5) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (CommMonoidWithZero.toZero.{u4} 𝕜₂ (CommSemiring.toCommMonoidWithZero.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_7)))))))) p (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_6 _inst_7) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : E) => E₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_6 _inst_7 σ₁₂) f x)))
+  forall {𝕜 : Type.{u2}} {𝕜₂ : Type.{u4}} {E : Type.{u1}} {E₂ : Type.{u3}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_2 : SeminormedCommRing.{u4} 𝕜₂] {σ₁₂ : RingHom.{u2, u4} 𝕜 𝕜₂ (Semiring.toNonAssocSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (Semiring.toNonAssocSemiring.{u4} 𝕜₂ (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))))} [_inst_3 : RingHomIsometric.{u2, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))) (SeminormedRing.toNorm.{u2} 𝕜 _inst_1) (SeminormedRing.toNorm.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2)) σ₁₂] [_inst_4 : AddCommGroup.{u1} E] [_inst_5 : AddCommGroup.{u3} E₂] [_inst_6 : Module.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4)] [_inst_7 : Module.{u4, u3} 𝕜₂ E₂ (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5)] (p : Seminorm.{u4, u3} 𝕜₂ E₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2) (AddCommGroup.toAddGroup.{u3} E₂ _inst_5) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (CommMonoidWithZero.toZero.{u4} 𝕜₂ (CommSemiring.toCommMonoidWithZero.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_7))))) (f : LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_6 _inst_7) (c : 𝕜₂) (x : E), Eq.{1} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) x) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_4) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) _inst_6))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_4) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) _inst_6))))) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_4))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_4) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) _inst_6))))) E Real (AddCommGroup.toAddGroup.{u1} E _inst_4) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_4) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) _inst_6))))) 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_4) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) _inst_6)))) (Seminorm.instSeminormClass.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_4) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) _inst_6)))))))) (Seminorm.comp.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ _inst_1 (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2) σ₁₂ _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 p (HSMul.hSMul.{u4, max u1 u3, max u1 u3} 𝕜₂ (LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_6 _inst_7) (LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_6 _inst_7) (instHSMul.{u4, max u1 u3} 𝕜₂ (LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_6 _inst_7) (LinearMap.instSMulLinearMap.{u2, u4, u4, u1, u3} 𝕜 𝕜₂ 𝕜₂ E E₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_6 _inst_7 σ₁₂ (MonoidWithZero.toMonoid.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))))) (Module.toDistribMulAction.{u4, u3} 𝕜₂ E₂ (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_7) (smulCommClass_self.{u4, u3} 𝕜₂ E₂ (CommRing.toCommMonoid.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2)) (MulActionWithZero.toMulAction.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_7))))) c f)) x) (HMul.hMul.{0, 0, 0} Real ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E₂) => Real) (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_6 _inst_7) E (fun (a : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : E) => E₂) a) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_6 _inst_7 σ₁₂) f x)) Real (instHMul.{0} Real Real.instMulReal) (Norm.norm.{u4} 𝕜₂ (SeminormedRing.toNorm.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2)) c) (FunLike.coe.{succ u3, succ u3, 1} (Seminorm.{u4, u3} 𝕜₂ E₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2) (AddCommGroup.toAddGroup.{u3} E₂ _inst_5) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (CommMonoidWithZero.toZero.{u4} 𝕜₂ (CommSemiring.toCommMonoidWithZero.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_7))))) E₂ (fun (_x : E₂) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E₂) => Real) _x) (SubadditiveHomClass.toFunLike.{u3, u3, 0} (Seminorm.{u4, u3} 𝕜₂ E₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2) (AddCommGroup.toAddGroup.{u3} E₂ _inst_5) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (CommMonoidWithZero.toZero.{u4} 𝕜₂ (CommSemiring.toCommMonoidWithZero.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_7))))) E₂ Real (AddZeroClass.toAdd.{u3} E₂ (AddMonoid.toAddZeroClass.{u3} E₂ (SubNegMonoid.toAddMonoid.{u3} E₂ (AddGroup.toSubNegMonoid.{u3} E₂ (AddCommGroup.toAddGroup.{u3} E₂ _inst_5))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u3, u3, 0} (Seminorm.{u4, u3} 𝕜₂ E₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2) (AddCommGroup.toAddGroup.{u3} E₂ _inst_5) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (CommMonoidWithZero.toZero.{u4} 𝕜₂ (CommSemiring.toCommMonoidWithZero.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_7))))) E₂ Real (AddCommGroup.toAddGroup.{u3} E₂ _inst_5) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u3, u4, u3} (Seminorm.{u4, u3} 𝕜₂ E₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2) (AddCommGroup.toAddGroup.{u3} E₂ _inst_5) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (CommMonoidWithZero.toZero.{u4} 𝕜₂ (CommSemiring.toCommMonoidWithZero.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_7))))) 𝕜₂ E₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2) (AddCommGroup.toAddGroup.{u3} E₂ _inst_5) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (CommMonoidWithZero.toZero.{u4} 𝕜₂ (CommSemiring.toCommMonoidWithZero.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_7)))) (Seminorm.instSeminormClass.{u4, u3} 𝕜₂ E₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2) (AddCommGroup.toAddGroup.{u3} E₂ _inst_5) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (CommMonoidWithZero.toZero.{u4} 𝕜₂ (CommSemiring.toCommMonoidWithZero.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_7)))))))) p (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_6 _inst_7) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : E) => E₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_6 _inst_7 σ₁₂) f x)))
 Case conversion may be inaccurate. Consider using '#align seminorm.comp_smul_apply Seminorm.comp_smul_applyₓ'. -/
 theorem comp_smul_apply (p : Seminorm 𝕜₂ E₂) (f : E →ₛₗ[σ₁₂] E₂) (c : 𝕜₂) (x : E) :
     p.comp (c • f) x = ‖c‖ * p (f x) :=
@@ -700,7 +700,7 @@ variable [NormedField 𝕜] [AddCommGroup E] [Module 𝕜 E] {p q : Seminorm 
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {p : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))} {q : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))} {x : E}, BddBelow.{0} Real Real.preorder (Set.range.{0, succ u2} Real E (fun (u : E) => HAdd.hAdd.{0, 0, 0} Real Real Real (instHAdd.{0} Real Real.hasAdd) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (fun (_x : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) p u) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (fun (_x : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) q (HSub.hSub.{u2, u2, u2} E E E (instHSub.{u2} E (SubNegMonoid.toHasSub.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)))) x u))))
 but is expected to have type
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {p : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))} {q : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))} {x : E}, BddBelow.{0} Real Real.instPreorderReal (Set.range.{0, succ u2} Real E (fun (u : E) => HAdd.hAdd.{0, 0, 0} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) u) ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) (HSub.hSub.{u2, u2, u2} E E E (instHSub.{u2} E (SubNegMonoid.toSub.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)))) x u)) ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) u) 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𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Seminorm.instSeminormClass.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))))) p u) (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Seminorm.instSeminormClass.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))))) q (HSub.hSub.{u2, u2, u2} E E E (instHSub.{u2} E (SubNegMonoid.toSub.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)))) x u))))
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {p : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))} {q : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))} {x : E}, BddBelow.{0} Real Real.instPreorderReal (Set.range.{0, succ u2} Real E (fun (u : E) => HAdd.hAdd.{0, 0, 0} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) u) ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) (HSub.hSub.{u2, u2, u2} E E E (instHSub.{u2} E (SubNegMonoid.toSub.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)))) x u)) ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) u) (instHAdd.{0} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) u) Real.instAddReal) (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Seminorm.instSeminormClass.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))))) p u) (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E 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(Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Seminorm.instSeminormClass.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))))) q (HSub.hSub.{u2, u2, u2} E E E (instHSub.{u2} E (SubNegMonoid.toSub.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)))) x u))))
 Case conversion may be inaccurate. Consider using '#align seminorm.bdd_below_range_add Seminorm.bddBelow_range_addₓ'. -/
 /-- Auxiliary lemma to show that the infimum of seminorms is well-defined. -/
 theorem bddBelow_range_add : BddBelow (range fun u => p u + q (x - u)) :=
@@ -734,7 +734,7 @@ noncomputable instance : Inf (Seminorm 𝕜 E)
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (p : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (q : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (x : E), Eq.{1} Real (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (fun (_x : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Inf.inf.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Seminorm.hasInf.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) p q) x) (iInf.{0, succ u2} Real Real.hasInf E (fun (u : E) => HAdd.hAdd.{0, 0, 0} Real Real Real (instHAdd.{0} Real Real.hasAdd) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (fun (_x : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) p u) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (fun (_x : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) q (HSub.hSub.{u2, u2, u2} E E E (instHSub.{u2} E (SubNegMonoid.toHasSub.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)))) x u))))
 but is expected to have type
-  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : NormedField.{u2} 𝕜] [_inst_2 : AddCommGroup.{u1} E] [_inst_3 : Module.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)] (p : Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) (q : Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) (x : E), Eq.{1} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) x) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E 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(Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) E Real (AddCommGroup.toAddGroup.{u1} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))) (Seminorm.instSeminormClass.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))))))) (Inf.inf.{u1} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) (Seminorm.instInf.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) p q) x) (iInf.{0, succ u1} Real Real.instInfSetReal E (fun (u : E) => HAdd.hAdd.{0, 0, 0} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) u) ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) (HSub.hSub.{u1, u1, u1} E E E (instHSub.{u1} E (SubNegMonoid.toSub.{u1} E (AddGroup.toSubNegMonoid.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_2)))) x u)) ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) u) (instHAdd.{0} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) u) Real.instAddReal) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) E Real (AddCommGroup.toAddGroup.{u1} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))) (Seminorm.instSeminormClass.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))))))) p u) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) E Real (AddCommGroup.toAddGroup.{u1} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))) (Seminorm.instSeminormClass.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))))))) q (HSub.hSub.{u1, u1, u1} E E E (instHSub.{u1} E (SubNegMonoid.toSub.{u1} E (AddGroup.toSubNegMonoid.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_2)))) x u))))
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : NormedField.{u2} 𝕜] [_inst_2 : AddCommGroup.{u1} E] [_inst_3 : Module.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)] (p : Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) (q : Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) (x : E), Eq.{1} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) x) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) E Real (AddCommGroup.toAddGroup.{u1} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))) (Seminorm.instSeminormClass.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))))))) (Inf.inf.{u1} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) (Seminorm.instInf.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) p q) x) (iInf.{0, succ u1} Real Real.instInfSetReal E (fun (u : E) => HAdd.hAdd.{0, 0, 0} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) u) ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) (HSub.hSub.{u1, u1, u1} E E E (instHSub.{u1} E (SubNegMonoid.toSub.{u1} E (AddGroup.toSubNegMonoid.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_2)))) x u)) ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) u) (instHAdd.{0} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) u) Real.instAddReal) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) E Real (AddCommGroup.toAddGroup.{u1} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))) (Seminorm.instSeminormClass.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))))))) p u) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) E Real (AddCommGroup.toAddGroup.{u1} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))) (Seminorm.instSeminormClass.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))))))) q (HSub.hSub.{u1, u1, u1} E E E (instHSub.{u1} E (SubNegMonoid.toSub.{u1} E (AddGroup.toSubNegMonoid.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_2)))) x u))))
 Case conversion may be inaccurate. Consider using '#align seminorm.inf_apply Seminorm.inf_applyₓ'. -/
 @[simp]
 theorem inf_apply (p q : Seminorm 𝕜 E) (x : E) : (p ⊓ q) x = ⨅ u : E, p u + q (x - u) :=
@@ -826,7 +826,7 @@ noncomputable instance : SupSet (Seminorm 𝕜 E)
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {s : Set.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))}, (BddAbove.{u2} (E -> Real) (Pi.preorder.{u2, 0} E (fun (ᾰ : E) => Real) (fun (i : E) => Real.preorder)) (Set.image.{u2, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (E -> Real) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (fun (ᾰ : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) s)) -> (Eq.{succ u2} (E -> Real) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (fun (_x : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (SupSet.sSup.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 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(NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) s) (fun (p : coeSort.{succ u2, succ (succ u2)} (Set.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E 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(Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) s) => coeFn.{succ u2, succ u2} (coeSort.{succ u2, succ (succ u2)} (Set.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) Type.{u2} (Set.hasCoeToSort.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) 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(AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) s) (fun (x : coeSort.{succ u2, succ (succ u2)} (Set.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 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(AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E 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(NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) s) (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 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(NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (coeBaseAux.{succ u2, succ u2} (coeSort.{succ u2, succ (succ u2)} (Set.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 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_inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) Type.{u2} (Set.hasCoeToSort.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) s) (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (coeSubtype.{succ u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (fun (x : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) => Membership.Mem.{u2, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Set.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) (Set.hasMem.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) x s)))) p)))
 but is expected to have type
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {s : Set.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))}, (BddAbove.{u2} (E -> Real) (Pi.preorder.{u2, 0} E (fun (ᾰ : E) => Real) (fun (i : E) => Real.instPreorderReal)) (Set.image.{u2, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (E -> Real) (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E (fun (ᾰ : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) ᾰ) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Seminorm.instSeminormClass.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))))))) s)) -> (Eq.{succ u2} (forall (ᾰ : E), (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) ᾰ) (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Seminorm.instSeminormClass.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))))) (SupSet.sSup.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Seminorm.instSupSet.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) s)) (iSup.{u2, succ u2} (forall (ᾰ : E), (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) ᾰ) (Pi.supSet.{u2, 0} E (fun (ᾰ : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) ᾰ) (fun (i : E) => Real.instSupSetReal)) (Set.Elem.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) s) (fun (p : Set.Elem.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) s) => FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E (fun (x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Seminorm.instSeminormClass.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))))) (Subtype.val.{succ u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (fun (x : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) => Membership.mem.{u2, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Set.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) (Set.instMembershipSet.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) x s) p))))
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {s : Set.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))}, (BddAbove.{u2} (E -> Real) (Pi.preorder.{u2, 0} E (fun (ᾰ : E) => Real) (fun (i : E) => Real.instPreorderReal)) (Set.image.{u2, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (E -> Real) (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E (fun (ᾰ : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) ᾰ) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Seminorm.instSeminormClass.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))))))) s)) -> (Eq.{succ u2} (forall (ᾰ : E), (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) ᾰ) (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Seminorm.instSeminormClass.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))))) (SupSet.sSup.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Seminorm.instSupSet.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) s)) (iSup.{u2, succ u2} (forall (ᾰ : E), (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) ᾰ) (Pi.supSet.{u2, 0} E (fun (ᾰ : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) ᾰ) (fun (i : E) => Real.instSupSetReal)) (Set.Elem.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) s) (fun (p : Set.Elem.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) s) => FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E (fun (x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Seminorm.instSeminormClass.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))))) (Subtype.val.{succ u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (fun (x : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) => Membership.mem.{u2, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Set.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) (Set.instMembershipSet.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) x s) p))))
 Case conversion may be inaccurate. Consider using '#align seminorm.coe_Sup_eq' Seminorm.coe_sSup_eq'ₓ'. -/
 protected theorem coe_sSup_eq' {s : Set <| Seminorm 𝕜 E}
     (hs : BddAbove (coeFn '' s : Set (E → ℝ))) : coeFn (sSup s) = ⨆ p : s, p :=
@@ -837,7 +837,7 @@ protected theorem coe_sSup_eq' {s : Set <| Seminorm 𝕜 E}
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {s : Set.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))}, Iff (BddAbove.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (PartialOrder.toPreorder.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Seminorm.partialOrder.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) s) (BddAbove.{u2} (E -> Real) (Pi.preorder.{u2, 0} E (fun (ᾰ : E) => Real) (fun (i : E) => Real.preorder)) (Set.image.{u2, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (E -> Real) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (fun (ᾰ : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) s))
 but is expected to have type
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {s : Set.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))}, Iff (BddAbove.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (PartialOrder.toPreorder.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Seminorm.instPartialOrder.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) s) (BddAbove.{u2} (E -> Real) (Pi.preorder.{u2, 0} E (fun (ᾰ : E) => Real) (fun (i : E) => Real.instPreorderReal)) (Set.image.{u2, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (E -> Real) (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E (fun (ᾰ : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) ᾰ) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Seminorm.instSeminormClass.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))))))) s))
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {s : Set.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))}, Iff (BddAbove.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (PartialOrder.toPreorder.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Seminorm.instPartialOrder.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) s) (BddAbove.{u2} (E -> Real) (Pi.preorder.{u2, 0} E (fun (ᾰ : E) => Real) (fun (i : E) => Real.instPreorderReal)) (Set.image.{u2, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (E -> Real) (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E 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(Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E (fun (ᾰ : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) ᾰ) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Seminorm.instSeminormClass.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))))))) s))
 Case conversion may be inaccurate. Consider using '#align seminorm.bdd_above_iff Seminorm.bddAbove_iffₓ'. -/
 protected theorem bddAbove_iff {s : Set <| Seminorm 𝕜 E} :
     BddAbove s ↔ BddAbove (coeFn '' s : Set (E → ℝ)) :=
@@ -853,7 +853,7 @@ protected theorem bddAbove_iff {s : Set <| Seminorm 𝕜 E} :
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {s : Set.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))}, (BddAbove.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (PartialOrder.toPreorder.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Seminorm.partialOrder.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) s) -> (Eq.{succ u2} (E -> Real) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (fun (_x : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (SupSet.sSup.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E 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(NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) Type.{u2} (Set.hasCoeToSort.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) s) => E -> Real) (coeFnTrans.{succ u2, succ u2, succ u2} (coeSort.{succ u2, succ (succ u2)} (Set.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) Type.{u2} (Set.hasCoeToSort.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) s) (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (fun (_x : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (coeBaseAux.{succ u2, succ u2} (coeSort.{succ u2, succ (succ u2)} (Set.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) Type.{u2} (Set.hasCoeToSort.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) s) (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (coeSubtype.{succ u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (fun (x : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) => Membership.Mem.{u2, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Set.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) (Set.hasMem.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) x s)))) p)))
 but is expected to have type
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {s : Set.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))}, (BddAbove.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (PartialOrder.toPreorder.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Seminorm.instPartialOrder.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) s) -> (Eq.{succ u2} (forall (ᾰ : E), (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) ᾰ) (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Seminorm.instSeminormClass.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))))) (SupSet.sSup.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Seminorm.instSupSet.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) s)) (iSup.{u2, succ u2} (forall (ᾰ : E), (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) ᾰ) (Pi.supSet.{u2, 0} E (fun (ᾰ : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) ᾰ) (fun (i : E) => Real.instSupSetReal)) (Set.Elem.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) s) (fun (p : Set.Elem.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) s) => FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E (fun (x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Seminorm.instSeminormClass.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))))) (Subtype.val.{succ u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (fun (x : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) => Membership.mem.{u2, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Set.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) (Set.instMembershipSet.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) x s) p))))
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {s : Set.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))}, (BddAbove.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (PartialOrder.toPreorder.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Seminorm.instPartialOrder.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) s) -> (Eq.{succ u2} (forall (ᾰ : E), (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) ᾰ) (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Seminorm.instSeminormClass.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))))) (SupSet.sSup.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Seminorm.instSupSet.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) s)) (iSup.{u2, succ u2} (forall (ᾰ : E), (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) ᾰ) (Pi.supSet.{u2, 0} E (fun (ᾰ : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) ᾰ) (fun (i : E) => Real.instSupSetReal)) (Set.Elem.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) s) (fun (p : Set.Elem.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) s) => FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E (fun (x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Seminorm.instSeminormClass.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))))) (Subtype.val.{succ u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (fun (x : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) => Membership.mem.{u2, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Set.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) (Set.instMembershipSet.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) x s) p))))
 Case conversion may be inaccurate. Consider using '#align seminorm.coe_Sup_eq Seminorm.coe_sSup_eqₓ'. -/
 protected theorem coe_sSup_eq {s : Set <| Seminorm 𝕜 E} (hs : BddAbove s) :
     coeFn (sSup s) = ⨆ p : s, p :=
@@ -864,7 +864,7 @@ protected theorem coe_sSup_eq {s : Set <| Seminorm 𝕜 E} (hs : BddAbove s) :
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {ι : Type.{u3}} {p : ι -> (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))}, (BddAbove.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (PartialOrder.toPreorder.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Seminorm.partialOrder.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) (Set.range.{u2, succ u3} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) ι p)) -> (Eq.{succ u2} (E -> Real) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (fun (_x : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (iSup.{u2, succ u3} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Seminorm.hasSup.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) ι (fun (i : ι) => p i))) (iSup.{u2, succ u3} (E -> Real) (Pi.supSet.{u2, 0} E (fun (ᾰ : E) => Real) (fun (i : E) => Real.hasSup)) ι (fun (i : ι) => coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (fun (_x : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (p i))))
 but is expected to have type
-  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : NormedField.{u2} 𝕜] [_inst_2 : AddCommGroup.{u1} E] [_inst_3 : Module.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)] {ι : Type.{u3}} {p : ι -> (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))))}, (BddAbove.{u1} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) (PartialOrder.toPreorder.{u1} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) (Seminorm.instPartialOrder.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))))) (Set.range.{u1, succ u3} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) ι p)) -> (Eq.{succ u1} (forall (ᾰ : E), (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) ᾰ) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) E Real (AddCommGroup.toAddGroup.{u1} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))) (Seminorm.instSeminormClass.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))))))) (iSup.{u1, succ u3} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) (Seminorm.instSupSet.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) ι (fun (i : ι) => p i))) (iSup.{u1, succ u3} (forall (ᾰ : E), (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) ᾰ) (Pi.supSet.{u1, 0} E (fun (ᾰ : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) ᾰ) (fun (i : E) => Real.instSupSetReal)) ι (fun (i : ι) => FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) E Real (AddCommGroup.toAddGroup.{u1} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))) (Seminorm.instSeminormClass.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))))))) (p i))))
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : NormedField.{u2} 𝕜] [_inst_2 : AddCommGroup.{u1} E] [_inst_3 : Module.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)] {ι : Type.{u3}} {p : ι -> (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))))}, (BddAbove.{u1} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) (PartialOrder.toPreorder.{u1} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) (Seminorm.instPartialOrder.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))))) (Set.range.{u1, succ u3} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) ι p)) -> (Eq.{succ u1} (forall (ᾰ : E), (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) ᾰ) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) E Real (AddCommGroup.toAddGroup.{u1} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))) (Seminorm.instSeminormClass.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))))))) (iSup.{u1, succ u3} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) (Seminorm.instSupSet.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) ι (fun (i : ι) => p i))) (iSup.{u1, succ u3} (forall (ᾰ : E), (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) ᾰ) (Pi.supSet.{u1, 0} E (fun (ᾰ : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) ᾰ) (fun (i : E) => Real.instSupSetReal)) ι (fun (i : ι) => FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) E Real (AddCommGroup.toAddGroup.{u1} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))) (Seminorm.instSeminormClass.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))))))) (p i))))
 Case conversion may be inaccurate. Consider using '#align seminorm.coe_supr_eq Seminorm.coe_iSup_eqₓ'. -/
 protected theorem coe_iSup_eq {ι : Type _} {p : ι → Seminorm 𝕜 E} (hp : BddAbove (range p)) :
     coeFn (⨆ i, p i) = ⨆ i, p i := by
@@ -932,7 +932,7 @@ variable {x y : E} {r : ℝ}
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : SMul.{u1, u2} 𝕜 E] (p : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) {x : E} {y : E} {r : Real}, Iff (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) y (Seminorm.ball.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 p x r)) (LT.lt.{0} Real Real.hasLt (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) (fun (_x : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) p (HSub.hSub.{u2, u2, u2} E E E (instHSub.{u2} E (SubNegMonoid.toHasSub.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)))) y x)) r)
 but is expected to have type
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : SMul.{u1, u2} 𝕜 E] (p : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) {x : E} {y : E} {r : Real}, Iff (Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) y (Seminorm.ball.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 p x r)) (LT.lt.{0} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) (HSub.hSub.{u2, u2, u2} E E E (instHSub.{u2} E (SubNegMonoid.toSub.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)))) y x)) Real.instLTReal (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) E Real (AddCommGroup.toAddGroup.{u2} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3 (Seminorm.instSeminormClass.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3)))) p (HSub.hSub.{u2, u2, u2} E E E (instHSub.{u2} E (SubNegMonoid.toSub.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)))) y x)) r)
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : SMul.{u1, u2} 𝕜 E] (p : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) {x : E} {y : E} {r : Real}, Iff (Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) y (Seminorm.ball.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 p x r)) (LT.lt.{0} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) (HSub.hSub.{u2, u2, u2} E E E (instHSub.{u2} E (SubNegMonoid.toSub.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)))) y x)) Real.instLTReal (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) E Real (AddCommGroup.toAddGroup.{u2} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3 (Seminorm.instSeminormClass.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3)))) p (HSub.hSub.{u2, u2, u2} E E E (instHSub.{u2} E (SubNegMonoid.toSub.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)))) y x)) r)
 Case conversion may be inaccurate. Consider using '#align seminorm.mem_ball Seminorm.mem_ballₓ'. -/
 @[simp]
 theorem mem_ball : y ∈ ball p x r ↔ p (y - x) < r :=
@@ -943,7 +943,7 @@ theorem mem_ball : y ∈ ball p x r ↔ p (y - x) < r :=
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : SMul.{u1, u2} 𝕜 E] (p : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) {x : E} {y : E} {r : Real}, Iff (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) y (Seminorm.closedBall.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 p x r)) (LE.le.{0} Real Real.hasLe (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) (fun (_x : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) p (HSub.hSub.{u2, u2, u2} E E E (instHSub.{u2} E (SubNegMonoid.toHasSub.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)))) y x)) r)
 but is expected to have type
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : SMul.{u1, u2} 𝕜 E] (p : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) {x : E} {y : E} {r : Real}, Iff (Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) y (Seminorm.closedBall.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 p x r)) (LE.le.{0} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) (HSub.hSub.{u2, u2, u2} E E E (instHSub.{u2} E (SubNegMonoid.toSub.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)))) y x)) Real.instLEReal (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) E Real (AddCommGroup.toAddGroup.{u2} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3 (Seminorm.instSeminormClass.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3)))) p (HSub.hSub.{u2, u2, u2} E E E (instHSub.{u2} E (SubNegMonoid.toSub.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)))) y x)) r)
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : SMul.{u1, u2} 𝕜 E] (p : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) {x : E} {y : E} {r : Real}, Iff (Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) y (Seminorm.closedBall.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 p x r)) (LE.le.{0} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) (HSub.hSub.{u2, u2, u2} E E E (instHSub.{u2} E (SubNegMonoid.toSub.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)))) y x)) Real.instLEReal (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) E Real (AddCommGroup.toAddGroup.{u2} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3 (Seminorm.instSeminormClass.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3)))) p (HSub.hSub.{u2, u2, u2} E E E (instHSub.{u2} E (SubNegMonoid.toSub.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)))) y x)) r)
 Case conversion may be inaccurate. Consider using '#align seminorm.mem_closed_ball Seminorm.mem_closedBallₓ'. -/
 @[simp]
 theorem mem_closedBall : y ∈ closedBall p x r ↔ p (y - x) ≤ r :=
@@ -972,7 +972,7 @@ theorem mem_closedBall_self (hr : 0 ≤ r) : x ∈ closedBall p x r := by simp [
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : SMul.{u1, u2} 𝕜 E] (p : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) {y : E} {r : Real}, Iff (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) y (Seminorm.ball.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 p (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)))))))) r)) (LT.lt.{0} Real Real.hasLt (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) (fun (_x : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) p y) r)
 but is expected to have type
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : SMul.{u1, u2} 𝕜 E] (p : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) {y : E} {r : Real}, Iff (Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) y (Seminorm.ball.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 p (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))))) r)) (LT.lt.{0} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) y) Real.instLTReal (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) E Real (AddCommGroup.toAddGroup.{u2} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3 (Seminorm.instSeminormClass.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3)))) p y) r)
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : SMul.{u1, u2} 𝕜 E] (p : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) {y : E} {r : Real}, Iff (Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) y (Seminorm.ball.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 p (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))))) r)) (LT.lt.{0} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) y) Real.instLTReal (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) E Real (AddCommGroup.toAddGroup.{u2} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3 (Seminorm.instSeminormClass.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3)))) p y) r)
 Case conversion may be inaccurate. Consider using '#align seminorm.mem_ball_zero Seminorm.mem_ball_zeroₓ'. -/
 theorem mem_ball_zero : y ∈ ball p 0 r ↔ p y < r := by rw [mem_ball, sub_zero]
 #align seminorm.mem_ball_zero Seminorm.mem_ball_zero
@@ -981,7 +981,7 @@ theorem mem_ball_zero : y ∈ ball p 0 r ↔ p y < r := by rw [mem_ball, sub_zer
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : SMul.{u1, u2} 𝕜 E] (p : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) {y : E} {r : Real}, Iff (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) y (Seminorm.closedBall.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 p (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)))))))) r)) (LE.le.{0} Real Real.hasLe (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) (fun (_x : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) p y) r)
 but is expected to have type
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : SMul.{u1, u2} 𝕜 E] (p : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) {y : E} {r : Real}, Iff (Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) y (Seminorm.closedBall.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 p (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))))) r)) (LE.le.{0} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) y) Real.instLEReal (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) E Real (AddCommGroup.toAddGroup.{u2} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3 (Seminorm.instSeminormClass.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3)))) p y) r)
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : SMul.{u1, u2} 𝕜 E] (p : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) {y : E} {r : Real}, Iff (Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) y (Seminorm.closedBall.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 p (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))))) r)) (LE.le.{0} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) y) Real.instLEReal (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) E Real (AddCommGroup.toAddGroup.{u2} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3 (Seminorm.instSeminormClass.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3)))) p y) r)
 Case conversion may be inaccurate. Consider using '#align seminorm.mem_closed_ball_zero Seminorm.mem_closedBall_zeroₓ'. -/
 theorem mem_closedBall_zero : y ∈ closedBall p 0 r ↔ p y ≤ r := by rw [mem_closed_ball, sub_zero]
 #align seminorm.mem_closed_ball_zero Seminorm.mem_closedBall_zero
@@ -990,7 +990,7 @@ theorem mem_closedBall_zero : y ∈ closedBall p 0 r ↔ p y ≤ r := by rw [mem
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : SMul.{u1, u2} 𝕜 E] (p : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) {r : Real}, Eq.{succ u2} (Set.{u2} E) (Seminorm.ball.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 p (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)))))))) r) (setOf.{u2} E (fun (y : E) => LT.lt.{0} Real Real.hasLt (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) (fun (_x : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) p y) r))
 but is expected to have type
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : SMul.{u1, u2} 𝕜 E] (p : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) {r : Real}, Eq.{succ u2} (Set.{u2} E) (Seminorm.ball.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 p (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))))) r) (setOf.{u2} E (fun (y : E) => LT.lt.{0} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) y) Real.instLTReal (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) E Real (AddCommGroup.toAddGroup.{u2} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3 (Seminorm.instSeminormClass.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3)))) p y) r))
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : SMul.{u1, u2} 𝕜 E] (p : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) {r : Real}, Eq.{succ u2} (Set.{u2} E) (Seminorm.ball.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 p (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))))) r) (setOf.{u2} E (fun (y : E) => LT.lt.{0} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) y) Real.instLTReal (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) E Real (AddCommGroup.toAddGroup.{u2} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3 (Seminorm.instSeminormClass.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3)))) p y) r))
 Case conversion may be inaccurate. Consider using '#align seminorm.ball_zero_eq Seminorm.ball_zero_eqₓ'. -/
 theorem ball_zero_eq : ball p 0 r = { y : E | p y < r } :=
   Set.ext fun x => p.mem_ball_zero
@@ -1000,7 +1000,7 @@ theorem ball_zero_eq : ball p 0 r = { y : E | p y < r } :=
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : SMul.{u1, u2} 𝕜 E] (p : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) {r : Real}, Eq.{succ u2} (Set.{u2} E) (Seminorm.closedBall.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 p (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)))))))) r) (setOf.{u2} E (fun (y : E) => LE.le.{0} Real Real.hasLe (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) (fun (_x : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) p y) r))
 but is expected to have type
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : SMul.{u1, u2} 𝕜 E] (p : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) {r : Real}, Eq.{succ u2} (Set.{u2} E) (Seminorm.closedBall.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 p (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))))) r) (setOf.{u2} E (fun (y : E) => LE.le.{0} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) y) Real.instLEReal (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) E Real (AddCommGroup.toAddGroup.{u2} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3 (Seminorm.instSeminormClass.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3)))) p y) r))
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : SMul.{u1, u2} 𝕜 E] (p : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) {r : Real}, Eq.{succ u2} (Set.{u2} E) (Seminorm.closedBall.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 p (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))))) r) (setOf.{u2} E (fun (y : E) => LE.le.{0} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) y) Real.instLEReal (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) E Real (AddCommGroup.toAddGroup.{u2} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3 (Seminorm.instSeminormClass.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3)))) p y) r))
 Case conversion may be inaccurate. Consider using '#align seminorm.closed_ball_zero_eq Seminorm.closedBall_zero_eqₓ'. -/
 theorem closedBall_zero_eq : closedBall p 0 r = { y : E | p y ≤ r } :=
   Set.ext fun x => p.mem_closedBall_zero
@@ -1047,7 +1047,7 @@ theorem closedBall_zero' (x : E) (hr : 0 < r) : closedBall (0 : Seminorm 𝕜 E)
 
 /- warning: seminorm.ball_smul -> Seminorm.ball_smul is a dubious translation:
 lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : SMul.{u1, u2} 𝕜 E] (p : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) {c : NNReal}, (LT.lt.{0} NNReal (Preorder.toLT.{0} NNReal (PartialOrder.toPreorder.{0} NNReal (OrderedCancelAddCommMonoid.toPartialOrder.{0} NNReal (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} NNReal NNReal.strictOrderedSemiring)))) (OfNat.ofNat.{0} NNReal 0 (OfNat.mk.{0} NNReal 0 (Zero.zero.{0} NNReal (MulZeroClass.toHasZero.{0} NNReal (NonUnitalNonAssocSemiring.toMulZeroClass.{0} NNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} NNReal (Semiring.toNonAssocSemiring.{0} NNReal NNReal.semiring))))))) c) -> (forall (r : Real) (x : E), Eq.{succ u2} (Set.{u2} E) (Seminorm.ball.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 (SMul.smul.{0, u2} NNReal (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) (Seminorm.hasSmul.{0, u1, u2} NNReal 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3 (MulAction.toHasSmul.{0, 0} NNReal Real (MonoidWithZero.toMonoid.{0} NNReal (Semiring.toMonoidWithZero.{0} NNReal NNReal.semiring)) (NNReal.mulAction.{0} Real (Monoid.toMulAction.{0} Real Real.monoid))) (Mul.toSMul.{0} NNReal (MulOneClass.toHasMul.{0} NNReal (Monoid.toMulOneClass.{0} NNReal (MonoidWithZero.toMonoid.{0} NNReal (Semiring.toMonoidWithZero.{0} NNReal NNReal.semiring))))) (IsScalarTower.left.{0, 0} NNReal Real (MonoidWithZero.toMonoid.{0} NNReal (Semiring.toMonoidWithZero.{0} NNReal NNReal.semiring)) (NNReal.mulAction.{0} Real (Monoid.toMulAction.{0} Real Real.monoid)))) c p) x r) (Seminorm.ball.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 p x (HDiv.hDiv.{0, 0, 0} Real Real Real (instHDiv.{0} Real (DivInvMonoid.toHasDiv.{0} Real (DivisionRing.toDivInvMonoid.{0} Real Real.divisionRing))) r ((fun (a : Type) (b : Type) [self : HasLiftT.{1, 1} a b] => self.0) NNReal Real (HasLiftT.mk.{1, 1} NNReal Real (CoeTCₓ.coe.{1, 1} NNReal Real (coeBase.{1, 1} NNReal Real NNReal.Real.hasCoe))) c))))
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : SMul.{u1, u2} 𝕜 E] (p : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) {c : NNReal}, (LT.lt.{0} NNReal (Preorder.toHasLt.{0} NNReal (PartialOrder.toPreorder.{0} NNReal (OrderedCancelAddCommMonoid.toPartialOrder.{0} NNReal (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} NNReal NNReal.strictOrderedSemiring)))) (OfNat.ofNat.{0} NNReal 0 (OfNat.mk.{0} NNReal 0 (Zero.zero.{0} NNReal (MulZeroClass.toHasZero.{0} NNReal (NonUnitalNonAssocSemiring.toMulZeroClass.{0} NNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} NNReal (Semiring.toNonAssocSemiring.{0} NNReal NNReal.semiring))))))) c) -> (forall (r : Real) (x : E), Eq.{succ u2} (Set.{u2} E) (Seminorm.ball.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 (SMul.smul.{0, u2} NNReal (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) (Seminorm.hasSmul.{0, u1, u2} NNReal 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3 (MulAction.toHasSmul.{0, 0} NNReal Real (MonoidWithZero.toMonoid.{0} NNReal (Semiring.toMonoidWithZero.{0} NNReal NNReal.semiring)) (NNReal.mulAction.{0} Real (Monoid.toMulAction.{0} Real Real.monoid))) (Mul.toSMul.{0} NNReal (MulOneClass.toHasMul.{0} NNReal (Monoid.toMulOneClass.{0} NNReal (MonoidWithZero.toMonoid.{0} NNReal (Semiring.toMonoidWithZero.{0} NNReal NNReal.semiring))))) (IsScalarTower.left.{0, 0} NNReal Real (MonoidWithZero.toMonoid.{0} NNReal (Semiring.toMonoidWithZero.{0} NNReal NNReal.semiring)) (NNReal.mulAction.{0} Real (Monoid.toMulAction.{0} Real Real.monoid)))) c p) x r) (Seminorm.ball.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 p x (HDiv.hDiv.{0, 0, 0} Real Real Real (instHDiv.{0} Real (DivInvMonoid.toHasDiv.{0} Real (DivisionRing.toDivInvMonoid.{0} Real Real.divisionRing))) r ((fun (a : Type) (b : Type) [self : HasLiftT.{1, 1} a b] => self.0) NNReal Real (HasLiftT.mk.{1, 1} NNReal Real (CoeTCₓ.coe.{1, 1} NNReal Real (coeBase.{1, 1} NNReal Real NNReal.Real.hasCoe))) c))))
 but is expected to have type
   forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_2 : AddCommGroup.{u1} E] [_inst_3 : SMul.{u2, u1} 𝕜 E] (p : Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_2) _inst_3) {c : NNReal}, (LT.lt.{0} NNReal (Preorder.toLT.{0} NNReal (PartialOrder.toPreorder.{0} NNReal (StrictOrderedSemiring.toPartialOrder.{0} NNReal instNNRealStrictOrderedSemiring))) (OfNat.ofNat.{0} NNReal 0 (Zero.toOfNat0.{0} NNReal instNNRealZero)) c) -> (forall (r : Real) (x : E), Eq.{succ u1} (Set.{u1} E) (Seminorm.ball.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3 (HSMul.hSMul.{0, u1, u1} NNReal (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_2) _inst_3) (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_2) _inst_3) (instHSMul.{0, u1} NNReal (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_2) _inst_3) (Seminorm.instSMul.{0, u2, u1} NNReal 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_2) _inst_3 Seminorm.smul_nnreal_real (Algebra.toSMul.{0, 0} NNReal NNReal instNNRealCommSemiring instNNRealSemiring (Algebra.id.{0} NNReal instNNRealCommSemiring)) (IsScalarTower.left.{0, 0} NNReal Real (MonoidWithZero.toMonoid.{0} NNReal (Semiring.toMonoidWithZero.{0} NNReal instNNRealSemiring)) (NNReal.instMulActionNNRealToMonoidToMonoidWithZeroInstNNRealSemiring.{0} Real (MulActionWithZero.toMulAction.{0, 0} Real Real Real.instMonoidWithZeroReal Real.instZeroReal (MonoidWithZero.toMulActionWithZero.{0} Real Real.instMonoidWithZeroReal)))))) c p) x r) (Seminorm.ball.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3 p x (HDiv.hDiv.{0, 0, 0} Real Real Real (instHDiv.{0} Real (LinearOrderedField.toDiv.{0} Real Real.instLinearOrderedFieldReal)) r (NNReal.toReal c))))
 Case conversion may be inaccurate. Consider using '#align seminorm.ball_smul Seminorm.ball_smulₓ'. -/
@@ -1060,7 +1060,7 @@ theorem ball_smul (p : Seminorm 𝕜 E) {c : NNReal} (hc : 0 < c) (r : ℝ) (x :
 
 /- warning: seminorm.closed_ball_smul -> Seminorm.closedBall_smul is a dubious translation:
 lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : SMul.{u1, u2} 𝕜 E] (p : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) {c : NNReal}, (LT.lt.{0} NNReal (Preorder.toLT.{0} NNReal (PartialOrder.toPreorder.{0} NNReal (OrderedCancelAddCommMonoid.toPartialOrder.{0} NNReal (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} NNReal NNReal.strictOrderedSemiring)))) (OfNat.ofNat.{0} NNReal 0 (OfNat.mk.{0} NNReal 0 (Zero.zero.{0} NNReal (MulZeroClass.toHasZero.{0} NNReal (NonUnitalNonAssocSemiring.toMulZeroClass.{0} NNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} NNReal (Semiring.toNonAssocSemiring.{0} NNReal NNReal.semiring))))))) c) -> (forall (r : Real) (x : E), Eq.{succ u2} (Set.{u2} E) (Seminorm.closedBall.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 (SMul.smul.{0, u2} NNReal (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) (Seminorm.hasSmul.{0, u1, u2} NNReal 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3 (MulAction.toHasSmul.{0, 0} NNReal Real (MonoidWithZero.toMonoid.{0} NNReal (Semiring.toMonoidWithZero.{0} NNReal NNReal.semiring)) (NNReal.mulAction.{0} Real (Monoid.toMulAction.{0} Real Real.monoid))) (Mul.toSMul.{0} NNReal (MulOneClass.toHasMul.{0} NNReal (Monoid.toMulOneClass.{0} NNReal (MonoidWithZero.toMonoid.{0} NNReal (Semiring.toMonoidWithZero.{0} NNReal NNReal.semiring))))) (IsScalarTower.left.{0, 0} NNReal Real (MonoidWithZero.toMonoid.{0} NNReal (Semiring.toMonoidWithZero.{0} NNReal NNReal.semiring)) (NNReal.mulAction.{0} Real (Monoid.toMulAction.{0} Real Real.monoid)))) c p) x r) (Seminorm.closedBall.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 p x (HDiv.hDiv.{0, 0, 0} Real Real Real (instHDiv.{0} Real (DivInvMonoid.toHasDiv.{0} Real (DivisionRing.toDivInvMonoid.{0} Real Real.divisionRing))) r ((fun (a : Type) (b : Type) [self : HasLiftT.{1, 1} a b] => self.0) NNReal Real (HasLiftT.mk.{1, 1} NNReal Real (CoeTCₓ.coe.{1, 1} NNReal Real (coeBase.{1, 1} NNReal Real NNReal.Real.hasCoe))) c))))
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : SMul.{u1, u2} 𝕜 E] (p : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) {c : NNReal}, (LT.lt.{0} NNReal (Preorder.toHasLt.{0} NNReal (PartialOrder.toPreorder.{0} NNReal (OrderedCancelAddCommMonoid.toPartialOrder.{0} NNReal (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} NNReal NNReal.strictOrderedSemiring)))) (OfNat.ofNat.{0} NNReal 0 (OfNat.mk.{0} NNReal 0 (Zero.zero.{0} NNReal (MulZeroClass.toHasZero.{0} NNReal (NonUnitalNonAssocSemiring.toMulZeroClass.{0} NNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} NNReal (Semiring.toNonAssocSemiring.{0} NNReal NNReal.semiring))))))) c) -> (forall (r : Real) (x : E), Eq.{succ u2} (Set.{u2} E) (Seminorm.closedBall.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 (SMul.smul.{0, u2} NNReal (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) (Seminorm.hasSmul.{0, u1, u2} NNReal 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3 (MulAction.toHasSmul.{0, 0} NNReal Real (MonoidWithZero.toMonoid.{0} NNReal (Semiring.toMonoidWithZero.{0} NNReal NNReal.semiring)) (NNReal.mulAction.{0} Real (Monoid.toMulAction.{0} Real Real.monoid))) (Mul.toSMul.{0} NNReal (MulOneClass.toHasMul.{0} NNReal (Monoid.toMulOneClass.{0} NNReal (MonoidWithZero.toMonoid.{0} NNReal (Semiring.toMonoidWithZero.{0} NNReal NNReal.semiring))))) (IsScalarTower.left.{0, 0} NNReal Real (MonoidWithZero.toMonoid.{0} NNReal (Semiring.toMonoidWithZero.{0} NNReal NNReal.semiring)) (NNReal.mulAction.{0} Real (Monoid.toMulAction.{0} Real Real.monoid)))) c p) x r) (Seminorm.closedBall.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 p x (HDiv.hDiv.{0, 0, 0} Real Real Real (instHDiv.{0} Real (DivInvMonoid.toHasDiv.{0} Real (DivisionRing.toDivInvMonoid.{0} Real Real.divisionRing))) r ((fun (a : Type) (b : Type) [self : HasLiftT.{1, 1} a b] => self.0) NNReal Real (HasLiftT.mk.{1, 1} NNReal Real (CoeTCₓ.coe.{1, 1} NNReal Real (coeBase.{1, 1} NNReal Real NNReal.Real.hasCoe))) c))))
 but is expected to have type
   forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_2 : AddCommGroup.{u1} E] [_inst_3 : SMul.{u2, u1} 𝕜 E] (p : Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_2) _inst_3) {c : NNReal}, (LT.lt.{0} NNReal (Preorder.toLT.{0} NNReal (PartialOrder.toPreorder.{0} NNReal (StrictOrderedSemiring.toPartialOrder.{0} NNReal instNNRealStrictOrderedSemiring))) (OfNat.ofNat.{0} NNReal 0 (Zero.toOfNat0.{0} NNReal instNNRealZero)) c) -> (forall (r : Real) (x : E), Eq.{succ u1} (Set.{u1} E) (Seminorm.closedBall.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3 (HSMul.hSMul.{0, u1, u1} NNReal (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_2) _inst_3) (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_2) _inst_3) (instHSMul.{0, u1} NNReal (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_2) _inst_3) (Seminorm.instSMul.{0, u2, u1} NNReal 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_2) _inst_3 Seminorm.smul_nnreal_real (Algebra.toSMul.{0, 0} NNReal NNReal instNNRealCommSemiring instNNRealSemiring (Algebra.id.{0} NNReal instNNRealCommSemiring)) (IsScalarTower.left.{0, 0} NNReal Real (MonoidWithZero.toMonoid.{0} NNReal (Semiring.toMonoidWithZero.{0} NNReal instNNRealSemiring)) (NNReal.instMulActionNNRealToMonoidToMonoidWithZeroInstNNRealSemiring.{0} Real (MulActionWithZero.toMulAction.{0, 0} Real Real Real.instMonoidWithZeroReal Real.instZeroReal (MonoidWithZero.toMulActionWithZero.{0} Real Real.instMonoidWithZeroReal)))))) c p) x r) (Seminorm.closedBall.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3 p x (HDiv.hDiv.{0, 0, 0} Real Real Real (instHDiv.{0} Real (LinearOrderedField.toDiv.{0} Real Real.instLinearOrderedFieldReal)) r (NNReal.toReal c))))
 Case conversion may be inaccurate. Consider using '#align seminorm.closed_ball_smul Seminorm.closedBall_smulₓ'. -/
@@ -1144,7 +1144,7 @@ theorem closedBall_mono {p : Seminorm 𝕜 E} {r₁ r₂ : ℝ} (h : r₁ ≤ r
 
 /- warning: seminorm.ball_antitone -> Seminorm.ball_antitone is a dubious translation:
 lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : SMul.{u1, u2} 𝕜 E] {x : E} {r : Real} {p : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3} {q : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3}, (LE.le.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) (Preorder.toLE.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) (PartialOrder.toPreorder.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) (Seminorm.partialOrder.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3))) q p) -> (HasSubset.Subset.{u2} (Set.{u2} E) (Set.hasSubset.{u2} E) (Seminorm.ball.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 p x r) (Seminorm.ball.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 q x r))
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : SMul.{u1, u2} 𝕜 E] {x : E} {r : Real} {p : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3} {q : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3}, (LE.le.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) (Preorder.toHasLe.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) (PartialOrder.toPreorder.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) (Seminorm.partialOrder.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3))) q p) -> (HasSubset.Subset.{u2} (Set.{u2} E) (Set.hasSubset.{u2} E) (Seminorm.ball.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 p x r) (Seminorm.ball.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 q x r))
 but is expected to have type
   forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_2 : AddCommGroup.{u1} E] [_inst_3 : SMul.{u2, u1} 𝕜 E] {x : E} {r : Real} {p : Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_2) _inst_3} {q : Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_2) _inst_3}, (LE.le.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_2) _inst_3) (Preorder.toLE.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_2) _inst_3) (PartialOrder.toPreorder.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_2) _inst_3) (Seminorm.instPartialOrder.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_2) _inst_3))) q p) -> (HasSubset.Subset.{u1} (Set.{u1} E) (Set.instHasSubsetSet.{u1} E) (Seminorm.ball.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3 p x r) (Seminorm.ball.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3 q x r))
 Case conversion may be inaccurate. Consider using '#align seminorm.ball_antitone Seminorm.ball_antitoneₓ'. -/
@@ -1154,7 +1154,7 @@ theorem ball_antitone {p q : Seminorm 𝕜 E} (h : q ≤ p) : p.ball x r ⊆ q.b
 
 /- warning: seminorm.closed_ball_antitone -> Seminorm.closedBall_antitone is a dubious translation:
 lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : SMul.{u1, u2} 𝕜 E] {x : E} {r : Real} {p : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3} {q : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3}, (LE.le.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) (Preorder.toLE.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) (PartialOrder.toPreorder.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) (Seminorm.partialOrder.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3))) q p) -> (HasSubset.Subset.{u2} (Set.{u2} E) (Set.hasSubset.{u2} E) (Seminorm.closedBall.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 p x r) (Seminorm.closedBall.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 q x r))
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : SMul.{u1, u2} 𝕜 E] {x : E} {r : Real} {p : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3} {q : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3}, (LE.le.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) (Preorder.toHasLe.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) (PartialOrder.toPreorder.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) (Seminorm.partialOrder.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3))) q p) -> (HasSubset.Subset.{u2} (Set.{u2} E) (Set.hasSubset.{u2} E) (Seminorm.closedBall.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 p x r) (Seminorm.closedBall.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 q x r))
 but is expected to have type
   forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_2 : AddCommGroup.{u1} E] [_inst_3 : SMul.{u2, u1} 𝕜 E] {x : E} {r : Real} {p : Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_2) _inst_3} {q : Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_2) _inst_3}, (LE.le.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_2) _inst_3) (Preorder.toLE.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_2) _inst_3) (PartialOrder.toPreorder.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_2) _inst_3) (Seminorm.instPartialOrder.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_2) _inst_3))) q p) -> (HasSubset.Subset.{u1} (Set.{u1} E) (Set.instHasSubsetSet.{u1} E) (Seminorm.closedBall.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3 p x r) (Seminorm.closedBall.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3 q x r))
 Case conversion may be inaccurate. Consider using '#align seminorm.closed_ball_antitone Seminorm.closedBall_antitoneₓ'. -/
@@ -1266,7 +1266,7 @@ variable (p : Seminorm 𝕜 E)
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (p : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) {r : Real}, Eq.{succ u2} (Set.{u2} E) (Set.preimage.{u2, 0} E Real (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (fun (_x : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) p) (Metric.ball.{0} Real Real.pseudoMetricSpace (OfNat.ofNat.{0} Real 0 (OfNat.mk.{0} Real 0 (Zero.zero.{0} Real Real.hasZero))) r)) (setOf.{u2} E (fun (x : E) => LT.lt.{0} Real Real.hasLt (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (fun (_x : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) p x) r))
 but is expected to have type
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (p : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) {r : Real}, Eq.{succ u2} (Set.{u2} E) (Set.preimage.{u2, 0} E Real (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Seminorm.instSeminormClass.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))))) p) (Metric.ball.{0} Real Real.pseudoMetricSpace (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) r)) (setOf.{u2} E (fun (x : E) => LT.lt.{0} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) x) Real.instLTReal (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Seminorm.instSeminormClass.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))))) p x) r))
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (p : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) {r : Real}, Eq.{succ u2} (Set.{u2} E) (Set.preimage.{u2, 0} E Real (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Seminorm.instSeminormClass.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))))) p) (Metric.ball.{0} Real Real.pseudoMetricSpace (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) r)) (setOf.{u2} E (fun (x : E) => LT.lt.{0} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) x) Real.instLTReal (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Seminorm.instSeminormClass.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))))) p x) r))
 Case conversion may be inaccurate. Consider using '#align seminorm.preimage_metric_ball Seminorm.preimage_metric_ballₓ'. -/
 theorem preimage_metric_ball {r : ℝ} : p ⁻¹' Metric.ball 0 r = { x | p x < r } :=
   by
@@ -1278,7 +1278,7 @@ theorem preimage_metric_ball {r : ℝ} : p ⁻¹' Metric.ball 0 r = { x | p x <
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (p : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) {r : Real}, Eq.{succ u2} (Set.{u2} E) (Set.preimage.{u2, 0} E Real (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (fun (_x : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) p) (Metric.closedBall.{0} Real Real.pseudoMetricSpace (OfNat.ofNat.{0} Real 0 (OfNat.mk.{0} Real 0 (Zero.zero.{0} Real Real.hasZero))) r)) (setOf.{u2} E (fun (x : E) => LE.le.{0} Real Real.hasLe (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (fun (_x : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) p x) r))
 but is expected to have type
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (p : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) {r : Real}, Eq.{succ u2} (Set.{u2} E) (Set.preimage.{u2, 0} E Real (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Seminorm.instSeminormClass.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))))) p) (Metric.closedBall.{0} Real Real.pseudoMetricSpace (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) r)) (setOf.{u2} E (fun (x : E) => LE.le.{0} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) x) Real.instLEReal (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Seminorm.instSeminormClass.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))))) p x) r))
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (p : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) {r : Real}, Eq.{succ u2} (Set.{u2} E) (Set.preimage.{u2, 0} E Real (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) _x) 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(SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Seminorm.instSeminormClass.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))))) p) (Metric.closedBall.{0} Real Real.pseudoMetricSpace (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) r)) (setOf.{u2} E (fun (x : E) => LE.le.{0} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) x) Real.instLEReal (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Seminorm.instSeminormClass.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))))) p x) r))
 Case conversion may be inaccurate. Consider using '#align seminorm.preimage_metric_closed_ball Seminorm.preimage_metric_closedBallₓ'. -/
 theorem preimage_metric_closedBall {r : ℝ} : p ⁻¹' Metric.closedBall 0 r = { x | p x ≤ r } :=
   by
@@ -1291,7 +1291,7 @@ theorem preimage_metric_closedBall {r : ℝ} : p ⁻¹' Metric.closedBall 0 r =
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (p : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) {r : Real}, Eq.{succ u2} (Set.{u2} E) (Seminorm.ball.{u1, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) p (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)))))))) r) (Set.preimage.{u2, 0} E Real (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (fun (_x : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) p) (Metric.ball.{0} Real Real.pseudoMetricSpace (OfNat.ofNat.{0} Real 0 (OfNat.mk.{0} Real 0 (Zero.zero.{0} Real Real.hasZero))) r))
 but is expected to have type
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (p : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) {r : Real}, Eq.{succ u2} (Set.{u2} E) (Seminorm.ball.{u1, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) p (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))))) r) (Set.preimage.{u2, 0} E Real (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Seminorm.instSeminormClass.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))))) p) (Metric.ball.{0} Real Real.pseudoMetricSpace (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) r))
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (p : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) {r : Real}, Eq.{succ u2} (Set.{u2} E) (Seminorm.ball.{u1, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) p (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))))) r) (Set.preimage.{u2, 0} E Real (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Seminorm.instSeminormClass.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))))) p) (Metric.ball.{0} Real Real.pseudoMetricSpace (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) r))
 Case conversion may be inaccurate. Consider using '#align seminorm.ball_zero_eq_preimage_ball Seminorm.ball_zero_eq_preimage_ballₓ'. -/
 theorem ball_zero_eq_preimage_ball {r : ℝ} : p.ball 0 r = p ⁻¹' Metric.ball 0 r := by
   rw [ball_zero_eq, preimage_metric_ball]
@@ -1301,7 +1301,7 @@ theorem ball_zero_eq_preimage_ball {r : ℝ} : p.ball 0 r = p ⁻¹' Metric.ball
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (p : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) {r : Real}, Eq.{succ u2} (Set.{u2} E) (Seminorm.closedBall.{u1, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) p (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)))))))) r) (Set.preimage.{u2, 0} E Real (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (fun (_x : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) p) (Metric.closedBall.{0} Real Real.pseudoMetricSpace (OfNat.ofNat.{0} Real 0 (OfNat.mk.{0} Real 0 (Zero.zero.{0} Real Real.hasZero))) r))
 but is expected to have type
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (p : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) {r : Real}, Eq.{succ u2} (Set.{u2} E) (Seminorm.closedBall.{u1, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) p (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))))) r) (Set.preimage.{u2, 0} E Real (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Seminorm.instSeminormClass.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))))) p) (Metric.closedBall.{0} Real Real.pseudoMetricSpace (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) r))
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (p : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) {r : Real}, Eq.{succ u2} (Set.{u2} E) (Seminorm.closedBall.{u1, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) p (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))))) r) (Set.preimage.{u2, 0} E Real (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Seminorm.instSeminormClass.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))))) p) (Metric.closedBall.{0} Real Real.pseudoMetricSpace (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) r))
 Case conversion may be inaccurate. Consider using '#align seminorm.closed_ball_zero_eq_preimage_closed_ball Seminorm.closedBall_zero_eq_preimage_closedBallₓ'. -/
 theorem closedBall_zero_eq_preimage_closedBall {r : ℝ} :
     p.closedBall 0 r = p ⁻¹' Metric.closedBall 0 r := by
@@ -1310,7 +1310,7 @@ theorem closedBall_zero_eq_preimage_closedBall {r : ℝ} :
 
 /- warning: seminorm.ball_bot -> Seminorm.ball_bot is a dubious translation:
 lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {r : Real} (x : E), (LT.lt.{0} Real Real.hasLt (OfNat.ofNat.{0} Real 0 (OfNat.mk.{0} Real 0 (Zero.zero.{0} Real Real.hasZero))) r) -> (Eq.{succ u2} (Set.{u2} E) (Seminorm.ball.{u1, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Bot.bot.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (OrderBot.toHasBot.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Preorder.toLE.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (PartialOrder.toPreorder.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Seminorm.partialOrder.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))))) (Seminorm.orderBot.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) x r) (Set.univ.{u2} E))
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {r : Real} (x : E), (LT.lt.{0} Real Real.hasLt (OfNat.ofNat.{0} Real 0 (OfNat.mk.{0} Real 0 (Zero.zero.{0} Real Real.hasZero))) r) -> (Eq.{succ u2} (Set.{u2} E) (Seminorm.ball.{u1, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Bot.bot.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (OrderBot.toHasBot.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Preorder.toHasLe.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (PartialOrder.toPreorder.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Seminorm.partialOrder.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))))) (Seminorm.orderBot.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) x r) (Set.univ.{u2} E))
 but is expected to have type
   forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {r : Real} (x : E), (LT.lt.{0} Real Real.instLTReal (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) r) -> (Eq.{succ u2} (Set.{u2} E) (Seminorm.ball.{u1, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Bot.bot.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (OrderBot.toBot.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Preorder.toLE.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (PartialOrder.toPreorder.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Seminorm.instPartialOrder.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))))) (Seminorm.instOrderBot.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) x r) (Set.univ.{u2} E))
 Case conversion may be inaccurate. Consider using '#align seminorm.ball_bot Seminorm.ball_botₓ'. -/
@@ -1321,7 +1321,7 @@ theorem ball_bot {r : ℝ} (x : E) (hr : 0 < r) : ball (⊥ : Seminorm 𝕜 E) x
 
 /- warning: seminorm.closed_ball_bot -> Seminorm.closedBall_bot is a dubious translation:
 lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {r : Real} (x : E), (LT.lt.{0} Real Real.hasLt (OfNat.ofNat.{0} Real 0 (OfNat.mk.{0} Real 0 (Zero.zero.{0} Real Real.hasZero))) r) -> (Eq.{succ u2} (Set.{u2} E) (Seminorm.closedBall.{u1, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Bot.bot.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (OrderBot.toHasBot.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Preorder.toLE.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (PartialOrder.toPreorder.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Seminorm.partialOrder.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))))) (Seminorm.orderBot.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) x r) (Set.univ.{u2} E))
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {r : Real} (x : E), (LT.lt.{0} Real Real.hasLt (OfNat.ofNat.{0} Real 0 (OfNat.mk.{0} Real 0 (Zero.zero.{0} Real Real.hasZero))) r) -> (Eq.{succ u2} (Set.{u2} E) (Seminorm.closedBall.{u1, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Bot.bot.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (OrderBot.toHasBot.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Preorder.toHasLe.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (PartialOrder.toPreorder.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Seminorm.partialOrder.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))))) (Seminorm.orderBot.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) x r) (Set.univ.{u2} E))
 but is expected to have type
   forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {r : Real} (x : E), (LT.lt.{0} Real Real.instLTReal (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) r) -> (Eq.{succ u2} (Set.{u2} E) (Seminorm.closedBall.{u1, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Bot.bot.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (OrderBot.toBot.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Preorder.toLE.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (PartialOrder.toPreorder.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Seminorm.instPartialOrder.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))))) (Seminorm.instOrderBot.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) x r) (Set.univ.{u2} E))
 Case conversion may be inaccurate. Consider using '#align seminorm.closed_ball_bot Seminorm.closedBall_botₓ'. -/
@@ -1607,7 +1607,7 @@ protected theorem absorbent_closedBall_zero (hr : 0 < r) : Absorbent 𝕜 (close
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (p : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) {r : Real} {x : E}, (LT.lt.{0} Real Real.hasLt (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (fun (_x : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) p x) r) -> (Absorbent.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Seminorm.ball.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) p x r))
 but is expected to have type
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (p : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) {r : Real} {x : E}, (LT.lt.{0} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) x) Real.instLTReal (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Seminorm.instSeminormClass.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))))) p x) r) -> (Absorbent.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Seminorm.ball.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) _inst_2 (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) p x r))
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (p : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) {r : Real} {x : E}, (LT.lt.{0} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) x) Real.instLTReal (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Seminorm.instSeminormClass.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))))) p x) r) -> (Absorbent.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Seminorm.ball.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) _inst_2 (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) p x r))
 Case conversion may be inaccurate. Consider using '#align seminorm.absorbent_ball Seminorm.absorbent_ballₓ'. -/
 /-- Seminorm-balls containing the origin are absorbent. -/
 protected theorem absorbent_ball (hpr : p x < r) : Absorbent 𝕜 (ball p x r) :=
@@ -1621,7 +1621,7 @@ protected theorem absorbent_ball (hpr : p x < r) : Absorbent 𝕜 (ball p x r) :
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (p : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) {r : Real} {x : E}, (LT.lt.{0} Real Real.hasLt (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (fun (_x : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) p x) r) -> (Absorbent.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Seminorm.closedBall.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) p x r))
 but is expected to have type
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (p : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) {r : Real} {x : E}, (LT.lt.{0} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) x) Real.instLTReal (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Seminorm.instSeminormClass.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))))) p x) r) -> (Absorbent.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Seminorm.closedBall.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) _inst_2 (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) p x r))
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (p : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) {r : Real} {x : E}, (LT.lt.{0} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) x) Real.instLTReal (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Seminorm.instSeminormClass.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))))) p x) r) -> (Absorbent.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Seminorm.closedBall.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) _inst_2 (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) p x r))
 Case conversion may be inaccurate. Consider using '#align seminorm.absorbent_closed_ball Seminorm.absorbent_closedBallₓ'. -/
 /-- Seminorm-balls containing the origin are absorbent. -/
 protected theorem absorbent_closedBall (hpr : p x < r) : Absorbent 𝕜 (closedBall p x r) :=
@@ -1658,7 +1658,7 @@ theorem neg_ball (p : Seminorm 𝕜 E) (r : ℝ) (x : E) : -ball p x r = ball p
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (p : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (y : E) (r : Real) (a : 𝕜), (Ne.{succ u1} 𝕜 a (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))))))) -> (Eq.{succ u2} (Set.{u2} E) (Set.preimage.{u2, u2} E E (SMul.smul.{u1, u2} 𝕜 E (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) a) (Seminorm.ball.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) p y r)) (Seminorm.ball.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) p (SMul.smul.{u1, u2} 𝕜 E (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Inv.inv.{u1} 𝕜 (DivInvMonoid.toHasInv.{u1} 𝕜 (DivisionRing.toDivInvMonoid.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 (NormedField.toNormedDivisionRing.{u1} 𝕜 _inst_1)))) a) y) (HDiv.hDiv.{0, 0, 0} Real Real Real (instHDiv.{0} Real (DivInvMonoid.toHasDiv.{0} Real (DivisionRing.toDivInvMonoid.{0} Real Real.divisionRing))) r (Norm.norm.{u1} 𝕜 (NormedField.toHasNorm.{u1} 𝕜 _inst_1) a))))
 but is expected to have type
-  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : NormedField.{u2} 𝕜] [_inst_2 : AddCommGroup.{u1} E] [_inst_3 : Module.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)] (p : Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) (y : E) (r : Real) (a : 𝕜), (Ne.{succ u2} 𝕜 a (OfNat.ofNat.{u2} 𝕜 0 (Zero.toOfNat0.{u2} 𝕜 (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))))))) -> (Eq.{succ u1} (Set.{u1} E) (Set.preimage.{u1, u1} E E ((fun (x._@.Mathlib.Analysis.Seminorm._hyg.15308 : 𝕜) (x._@.Mathlib.Analysis.Seminorm._hyg.15310 : E) => HSMul.hSMul.{u2, u1, u1} 𝕜 E E (instHSMul.{u2, u1} 𝕜 E (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) x._@.Mathlib.Analysis.Seminorm._hyg.15308 x._@.Mathlib.Analysis.Seminorm._hyg.15310) a) (Seminorm.ball.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) _inst_2 (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))) p y r)) (Seminorm.ball.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) _inst_2 (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))) p (HSMul.hSMul.{u2, u1, u1} 𝕜 E E (instHSMul.{u2, u1} 𝕜 E (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) (Inv.inv.{u2} 𝕜 (Field.toInv.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)) a) y) (HDiv.hDiv.{0, 0, 0} Real Real Real (instHDiv.{0} Real (LinearOrderedField.toDiv.{0} Real Real.instLinearOrderedFieldReal)) r (Norm.norm.{u2} 𝕜 (NormedField.toNorm.{u2} 𝕜 _inst_1) a))))
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : NormedField.{u2} 𝕜] [_inst_2 : AddCommGroup.{u1} E] [_inst_3 : Module.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)] (p : Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) (y : E) (r : Real) (a : 𝕜), (Ne.{succ u2} 𝕜 a (OfNat.ofNat.{u2} 𝕜 0 (Zero.toOfNat0.{u2} 𝕜 (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))))))) -> (Eq.{succ u1} (Set.{u1} E) (Set.preimage.{u1, u1} E E ((fun (x._@.Mathlib.Analysis.Seminorm._hyg.15306 : 𝕜) (x._@.Mathlib.Analysis.Seminorm._hyg.15308 : E) => HSMul.hSMul.{u2, u1, u1} 𝕜 E E (instHSMul.{u2, u1} 𝕜 E (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) x._@.Mathlib.Analysis.Seminorm._hyg.15306 x._@.Mathlib.Analysis.Seminorm._hyg.15308) a) (Seminorm.ball.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) _inst_2 (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))) p y r)) (Seminorm.ball.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) _inst_2 (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))) p (HSMul.hSMul.{u2, u1, u1} 𝕜 E E (instHSMul.{u2, u1} 𝕜 E (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) (Inv.inv.{u2} 𝕜 (Field.toInv.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)) a) y) (HDiv.hDiv.{0, 0, 0} Real Real Real (instHDiv.{0} Real (LinearOrderedField.toDiv.{0} Real Real.instLinearOrderedFieldReal)) r (Norm.norm.{u2} 𝕜 (NormedField.toNorm.{u2} 𝕜 _inst_1) a))))
 Case conversion may be inaccurate. Consider using '#align seminorm.smul_ball_preimage Seminorm.smul_ball_preimageₓ'. -/
 @[simp]
 theorem smul_ball_preimage (p : Seminorm 𝕜 E) (y : E) (r : ℝ) (a : 𝕜) (ha : a ≠ 0) :
@@ -1682,7 +1682,7 @@ variable [SMul ℝ E] [IsScalarTower ℝ 𝕜 E] (p : Seminorm 𝕜 E)
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : NormedSpace.{0, u1} Real 𝕜 Real.normedField (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))] [_inst_4 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] [_inst_5 : SMul.{0, u2} Real E] [_inst_6 : IsScalarTower.{0, u1, u2} Real 𝕜 E (SMulZeroClass.toHasSmul.{0, u1} Real 𝕜 (AddZeroClass.toHasZero.{u1} 𝕜 (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddCommMonoid.toAddMonoid.{u1} 𝕜 (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))))) (SMulWithZero.toSmulZeroClass.{0, u1} Real 𝕜 (MulZeroClass.toHasZero.{0} Real (MulZeroOneClass.toMulZeroClass.{0} Real (MonoidWithZero.toMulZeroOneClass.{0} Real (Semiring.toMonoidWithZero.{0} Real (Ring.toSemiring.{0} Real (NormedRing.toRing.{0} Real (NormedCommRing.toNormedRing.{0} Real (NormedField.toNormedCommRing.{0} Real Real.normedField)))))))) (AddZeroClass.toHasZero.{u1} 𝕜 (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddCommMonoid.toAddMonoid.{u1} 𝕜 (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))))) (MulActionWithZero.toSMulWithZero.{0, u1} Real 𝕜 (Semiring.toMonoidWithZero.{0} Real (Ring.toSemiring.{0} Real (NormedRing.toRing.{0} Real (NormedCommRing.toNormedRing.{0} Real (NormedField.toNormedCommRing.{0} Real Real.normedField))))) (AddZeroClass.toHasZero.{u1} 𝕜 (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddCommMonoid.toAddMonoid.{u1} 𝕜 (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))))) (Module.toMulActionWithZero.{0, u1} Real 𝕜 (Ring.toSemiring.{0} Real (NormedRing.toRing.{0} Real (NormedCommRing.toNormedRing.{0} Real (NormedField.toNormedCommRing.{0} Real Real.normedField)))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))))) (NormedSpace.toModule.{0, u1} Real 𝕜 Real.normedField (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) _inst_3))))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_4)))) _inst_5] (p : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_4))))), ConvexOn.{0, u2, 0} Real E Real Real.orderedSemiring (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) Real.orderedAddCommMonoid _inst_5 (Mul.toSMul.{0} Real Real.hasMul) (Set.univ.{u2} E) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_4))))) (fun (_x : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_4))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_4))))) p)
 but is expected to have type
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : NormedSpace.{0, u1} Real 𝕜 Real.normedField (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))] [_inst_4 : Module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] [_inst_5 : SMul.{0, u2} Real E] [_inst_6 : IsScalarTower.{0, u1, u2} Real 𝕜 E (SMulZeroClass.toSMul.{0, u1} Real 𝕜 (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (SMulWithZero.toSMulZeroClass.{0, u1} Real 𝕜 Real.instZeroReal (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (MulActionWithZero.toSMulWithZero.{0, u1} Real 𝕜 Real.instMonoidWithZeroReal (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (Module.toMulActionWithZero.{0, u1} Real 𝕜 Real.semiring (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))))) (NormedSpace.toModule.{0, u1} Real 𝕜 Real.normedField (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) _inst_3))))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_4)))) _inst_5] (p : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_4))))), ConvexOn.{0, u2, 0} Real E Real Real.orderedSemiring (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) Real.orderedAddCommMonoid _inst_5 (Algebra.toSMul.{0, 0} Real Real Real.instCommSemiringReal Real.semiring (NormedAlgebra.toAlgebra.{0, 0} Real Real Real.normedField (SeminormedCommRing.toSeminormedRing.{0} Real (NormedCommRing.toSeminormedCommRing.{0} Real Real.normedCommRing)) (NormedAlgebra.id.{0} Real Real.normedField))) (Set.univ.{u2} E) (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_4))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_4))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_4))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_4))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_4)))) (Seminorm.instSeminormClass.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_4)))))))) p)
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : NormedSpace.{0, u1} Real 𝕜 Real.normedField (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))] [_inst_4 : Module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] [_inst_5 : SMul.{0, u2} Real E] [_inst_6 : IsScalarTower.{0, u1, u2} Real 𝕜 E (SMulZeroClass.toSMul.{0, u1} Real 𝕜 (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (SMulWithZero.toSMulZeroClass.{0, u1} Real 𝕜 Real.instZeroReal (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (MulActionWithZero.toSMulWithZero.{0, u1} Real 𝕜 Real.instMonoidWithZeroReal (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (Module.toMulActionWithZero.{0, u1} Real 𝕜 Real.semiring (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))))) (NormedSpace.toModule.{0, u1} Real 𝕜 Real.normedField (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) _inst_3))))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_4)))) _inst_5] (p : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_4))))), ConvexOn.{0, u2, 0} Real E Real Real.orderedSemiring (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) Real.orderedAddCommMonoid _inst_5 (Algebra.toSMul.{0, 0} Real Real Real.instCommSemiringReal Real.semiring (NormedAlgebra.toAlgebra.{0, 0} Real Real Real.normedField (SeminormedCommRing.toSeminormedRing.{0} Real (NormedCommRing.toSeminormedCommRing.{0} Real Real.normedCommRing)) (NormedAlgebra.id.{0} Real Real.normedField))) (Set.univ.{u2} E) (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_4))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_4))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_4))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_4))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_4)))) (Seminorm.instSeminormClass.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_4)))))))) p)
 Case conversion may be inaccurate. Consider using '#align seminorm.convex_on Seminorm.convexOnₓ'. -/
 /-- A seminorm is convex. Also see `convex_on_norm`. -/
 protected theorem convexOn : ConvexOn ℝ univ p :=
@@ -1750,7 +1750,7 @@ protected def restrictScalars (p : Seminorm 𝕜' E) : Seminorm 𝕜 E :=
 lean 3 declaration is
   forall (𝕜 : Type.{u1}) {E : Type.{u2}} {𝕜' : Type.{u3}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : SeminormedRing.{u3} 𝕜'] [_inst_3 : NormedAlgebra.{u1, u3} 𝕜 𝕜' _inst_1 _inst_2] [_inst_4 : NormOneClass.{u3} 𝕜' (SeminormedRing.toHasNorm.{u3} 𝕜' _inst_2) (AddMonoidWithOne.toOne.{u3} 𝕜' (AddGroupWithOne.toAddMonoidWithOne.{u3} 𝕜' (AddCommGroupWithOne.toAddGroupWithOne.{u3} 𝕜' (Ring.toAddCommGroupWithOne.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))))] [_inst_5 : AddCommGroup.{u2} E] [_inst_6 : Module.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)] [_inst_7 : SMul.{u1, u2} 𝕜 E] [_inst_8 : IsScalarTower.{u1, u3, u2} 𝕜 𝕜' E (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 𝕜' (AddZeroClass.toHasZero.{u3} 𝕜' (AddMonoid.toAddZeroClass.{u3} 𝕜' (AddCommMonoid.toAddMonoid.{u3} 𝕜' (AddCommGroup.toAddCommMonoid.{u3} 𝕜' (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜' (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜' (SeminormedRing.toNonUnitalSeminormedRing.{u3} 𝕜' _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 𝕜' (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u3} 𝕜' (AddMonoid.toAddZeroClass.{u3} 𝕜' (AddCommMonoid.toAddMonoid.{u3} 𝕜' (AddCommGroup.toAddCommMonoid.{u3} 𝕜' (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜' (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜' (SeminormedRing.toNonUnitalSeminormedRing.{u3} 𝕜' _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 𝕜' (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u3} 𝕜' (AddMonoid.toAddZeroClass.{u3} 𝕜' (AddCommMonoid.toAddMonoid.{u3} 𝕜' (AddCommGroup.toAddCommMonoid.{u3} 𝕜' (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜' (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜' (SeminormedRing.toNonUnitalSeminormedRing.{u3} 𝕜' _inst_2))))))) (Module.toMulActionWithZero.{u1, u3} 𝕜 𝕜' (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u3} 𝕜' (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜' (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜' (SeminormedRing.toNonUnitalSeminormedRing.{u3} 𝕜' _inst_2)))) (NormedSpace.toModule.{u1, u3} 𝕜 𝕜' _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜' (SeminormedRing.toNonUnitalSeminormedRing.{u3} 𝕜' _inst_2)) (NormedAlgebra.toNormedSpace.{u1, u3} 𝕜 𝕜' _inst_1 _inst_2 _inst_3)))))) (SMulZeroClass.toHasSmul.{u3, u2} 𝕜' E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)))) (SMulWithZero.toSmulZeroClass.{u3, u2} 𝕜' E (MulZeroClass.toHasZero.{u3} 𝕜' (MulZeroOneClass.toMulZeroClass.{u3} 𝕜' (MonoidWithZero.toMulZeroOneClass.{u3} 𝕜' (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜' E (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)))) (Module.toMulActionWithZero.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5) _inst_6)))) _inst_7] (p : Seminorm.{u3, u2} 𝕜' E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_5) (SMulZeroClass.toHasSmul.{u3, u2} 𝕜' E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)))) (SMulWithZero.toSmulZeroClass.{u3, u2} 𝕜' E (MulZeroClass.toHasZero.{u3} 𝕜' (MulZeroOneClass.toMulZeroClass.{u3} 𝕜' (MonoidWithZero.toMulZeroOneClass.{u3} 𝕜' (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜' E (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)))) (Module.toMulActionWithZero.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5) _inst_6))))), Eq.{succ u2} ((fun (_x : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_5) _inst_7) => E -> Real) (Seminorm.restrictScalars.{u1, u2, u3} 𝕜 E 𝕜' _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 p)) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_5) _inst_7) (fun (_x : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_5) _inst_7) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_5) _inst_7) (Seminorm.restrictScalars.{u1, u2, u3} 𝕜 E 𝕜' _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 p)) (coeFn.{succ u2, succ u2} (Seminorm.{u3, u2} 𝕜' E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_5) (SMulZeroClass.toHasSmul.{u3, u2} 𝕜' E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)))) (SMulWithZero.toSmulZeroClass.{u3, u2} 𝕜' E (MulZeroClass.toHasZero.{u3} 𝕜' (MulZeroOneClass.toMulZeroClass.{u3} 𝕜' (MonoidWithZero.toMulZeroOneClass.{u3} 𝕜' (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜' E (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)))) (Module.toMulActionWithZero.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5) _inst_6))))) (fun (_x : Seminorm.{u3, u2} 𝕜' E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_5) (SMulZeroClass.toHasSmul.{u3, u2} 𝕜' E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)))) (SMulWithZero.toSmulZeroClass.{u3, u2} 𝕜' E (MulZeroClass.toHasZero.{u3} 𝕜' (MulZeroOneClass.toMulZeroClass.{u3} 𝕜' (MonoidWithZero.toMulZeroOneClass.{u3} 𝕜' (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜' E (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)))) (Module.toMulActionWithZero.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5) _inst_6))))) => E -> Real) (Seminorm.hasCoeToFun.{u3, u2} 𝕜' E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_5) (SMulZeroClass.toHasSmul.{u3, u2} 𝕜' E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)))) (SMulWithZero.toSmulZeroClass.{u3, u2} 𝕜' E (MulZeroClass.toHasZero.{u3} 𝕜' (MulZeroOneClass.toMulZeroClass.{u3} 𝕜' (MonoidWithZero.toMulZeroOneClass.{u3} 𝕜' (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜' E (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)))) (Module.toMulActionWithZero.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5) _inst_6))))) p)
 but is expected to have type
-  forall (𝕜 : Type.{u1}) {E : Type.{u2}} {𝕜' : Type.{u3}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : SeminormedRing.{u3} 𝕜'] [_inst_3 : NormedAlgebra.{u1, u3} 𝕜 𝕜' _inst_1 _inst_2] [_inst_4 : NormOneClass.{u3} 𝕜' (SeminormedRing.toNorm.{u3} 𝕜' _inst_2) (Semiring.toOne.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))] [_inst_5 : AddCommGroup.{u2} E] [_inst_6 : Module.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)] [_inst_7 : SMul.{u1, u2} 𝕜 E] [_inst_8 : IsScalarTower.{u1, u3, u2} 𝕜 𝕜' E (Algebra.toSMul.{u1, u3} 𝕜 𝕜' (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))) (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (NormedAlgebra.toAlgebra.{u1, u3} 𝕜 𝕜' _inst_1 _inst_2 _inst_3)) (SMulZeroClass.toSMul.{u3, u2} 𝕜' E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜' E (MonoidWithZero.toZero.{u3} 𝕜' (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜' E (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (Module.toMulActionWithZero.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5) _inst_6)))) _inst_7] (p : Seminorm.{u3, u2} 𝕜' E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_5) (SMulZeroClass.toSMul.{u3, u2} 𝕜' E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜' E (MonoidWithZero.toZero.{u3} 𝕜' (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜' E (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (Module.toMulActionWithZero.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5) _inst_6))))), Eq.{succ u2} (forall (a : E), (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) a) (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_5) _inst_7) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_5) _inst_7) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_5))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_5) _inst_7) E Real (AddCommGroup.toAddGroup.{u2} E _inst_5) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_5) _inst_7) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_5) _inst_7 (Seminorm.instSeminormClass.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_5) _inst_7)))) (Seminorm.restrictScalars.{u1, u2, u3} 𝕜 E 𝕜' _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 p)) (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u3, u2} 𝕜' E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_5) (SMulZeroClass.toSMul.{u3, u2} 𝕜' E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜' E (MonoidWithZero.toZero.{u3} 𝕜' (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜' E (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (Module.toMulActionWithZero.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5) _inst_6))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u3, u2} 𝕜' E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_5) (SMulZeroClass.toSMul.{u3, u2} 𝕜' E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜' E (MonoidWithZero.toZero.{u3} 𝕜' (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜' E (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (Module.toMulActionWithZero.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5) _inst_6))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_5))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u3, u2} 𝕜' E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_5) (SMulZeroClass.toSMul.{u3, u2} 𝕜' E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜' E (MonoidWithZero.toZero.{u3} 𝕜' (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜' E (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (Module.toMulActionWithZero.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5) _inst_6))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_5) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u3, u2} (Seminorm.{u3, u2} 𝕜' E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_5) (SMulZeroClass.toSMul.{u3, u2} 𝕜' E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜' E (MonoidWithZero.toZero.{u3} 𝕜' (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜' E (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (Module.toMulActionWithZero.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5) _inst_6))))) 𝕜' E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_5) (SMulZeroClass.toSMul.{u3, u2} 𝕜' E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜' E (MonoidWithZero.toZero.{u3} 𝕜' (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜' E (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (Module.toMulActionWithZero.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5) _inst_6)))) (Seminorm.instSeminormClass.{u3, u2} 𝕜' E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_5) (SMulZeroClass.toSMul.{u3, u2} 𝕜' E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜' E (MonoidWithZero.toZero.{u3} 𝕜' (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜' E (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (Module.toMulActionWithZero.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5) _inst_6)))))))) p)
+  forall (𝕜 : Type.{u1}) {E : Type.{u2}} {𝕜' : Type.{u3}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : SeminormedRing.{u3} 𝕜'] [_inst_3 : NormedAlgebra.{u1, u3} 𝕜 𝕜' _inst_1 _inst_2] [_inst_4 : NormOneClass.{u3} 𝕜' (SeminormedRing.toNorm.{u3} 𝕜' _inst_2) (Semiring.toOne.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))] [_inst_5 : AddCommGroup.{u2} E] [_inst_6 : Module.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)] [_inst_7 : SMul.{u1, u2} 𝕜 E] [_inst_8 : IsScalarTower.{u1, u3, u2} 𝕜 𝕜' E (Algebra.toSMul.{u1, u3} 𝕜 𝕜' (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))) (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (NormedAlgebra.toAlgebra.{u1, u3} 𝕜 𝕜' _inst_1 _inst_2 _inst_3)) (SMulZeroClass.toSMul.{u3, u2} 𝕜' E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜' E (MonoidWithZero.toZero.{u3} 𝕜' (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜' E (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (Module.toMulActionWithZero.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5) _inst_6)))) _inst_7] (p : Seminorm.{u3, u2} 𝕜' E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_5) (SMulZeroClass.toSMul.{u3, u2} 𝕜' E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜' E (MonoidWithZero.toZero.{u3} 𝕜' (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜' E (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (Module.toMulActionWithZero.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5) _inst_6))))), Eq.{succ u2} (forall (a : E), (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) a) (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_5) _inst_7) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_5) _inst_7) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_5))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_5) _inst_7) E Real (AddCommGroup.toAddGroup.{u2} E _inst_5) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_5) _inst_7) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_5) _inst_7 (Seminorm.instSeminormClass.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_5) _inst_7)))) (Seminorm.restrictScalars.{u1, u2, u3} 𝕜 E 𝕜' _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 p)) (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u3, u2} 𝕜' E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_5) (SMulZeroClass.toSMul.{u3, u2} 𝕜' E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜' E (MonoidWithZero.toZero.{u3} 𝕜' (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜' E (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (Module.toMulActionWithZero.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5) _inst_6))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u3, u2} 𝕜' E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_5) (SMulZeroClass.toSMul.{u3, u2} 𝕜' E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜' E (MonoidWithZero.toZero.{u3} 𝕜' (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜' E (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (Module.toMulActionWithZero.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5) _inst_6))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_5))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u3, u2} 𝕜' E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_5) (SMulZeroClass.toSMul.{u3, u2} 𝕜' E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜' E (MonoidWithZero.toZero.{u3} 𝕜' (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜' E (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (Module.toMulActionWithZero.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5) _inst_6))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_5) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u3, u2} (Seminorm.{u3, u2} 𝕜' E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_5) (SMulZeroClass.toSMul.{u3, u2} 𝕜' E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜' E (MonoidWithZero.toZero.{u3} 𝕜' (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜' E (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (Module.toMulActionWithZero.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5) _inst_6))))) 𝕜' E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_5) (SMulZeroClass.toSMul.{u3, u2} 𝕜' E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜' E (MonoidWithZero.toZero.{u3} 𝕜' (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜' E (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (Module.toMulActionWithZero.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5) _inst_6)))) (Seminorm.instSeminormClass.{u3, u2} 𝕜' E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_5) (SMulZeroClass.toSMul.{u3, u2} 𝕜' E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜' E (MonoidWithZero.toZero.{u3} 𝕜' (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜' E (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (Module.toMulActionWithZero.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5) _inst_6)))))))) p)
 Case conversion may be inaccurate. Consider using '#align seminorm.coe_restrict_scalars Seminorm.coe_restrictScalarsₓ'. -/
 @[simp]
 theorem coe_restrictScalars (p : Seminorm 𝕜' E) : (p.restrictScalars 𝕜 : E → ℝ) = p :=
@@ -1795,7 +1795,7 @@ variable [Module 𝕝 E]
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_3 : AddCommGroup.{u2} E] [_inst_4 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)] [_inst_6 : TopologicalSpace.{u2} E] [_inst_7 : ContinuousConstSMul.{u1, u2} 𝕜 E _inst_6 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))] {p : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))} {r : Real}, (LT.lt.{0} Real Real.hasLt (OfNat.ofNat.{0} Real 0 (OfNat.mk.{0} Real 0 (Zero.zero.{0} Real Real.hasZero))) r) -> (Membership.Mem.{u2, u2} (Set.{u2} E) (Filter.{u2} E) (Filter.hasMem.{u2} E) (Seminorm.closedBall.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) _inst_3 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4)))) p (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_3)))))))) r) (nhds.{u2} E _inst_6 (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_3)))))))))) -> (ContinuousAt.{u2, 0} E Real _inst_6 (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) (fun (_x : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) p) (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_3)))))))))
 but is expected to have type
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_3 : AddCommGroup.{u2} E] [_inst_4 : Module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)] [_inst_6 : TopologicalSpace.{u2} E] [_inst_7 : ContinuousConstSMul.{u1, u2} 𝕜 E _inst_6 (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))] {p : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))} {r : Real}, (LT.lt.{0} Real Real.instLTReal (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) r) -> (Membership.mem.{u2, u2} (Set.{u2} E) (Filter.{u2} E) (instMembershipSetFilter.{u2} E) (Seminorm.closedBall.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) _inst_3 (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4)))) p (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))))) r) (nhds.{u2} E _inst_6 (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))))))) -> (ContinuousAt.{u2, 0} E Real _inst_6 (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_3))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_3) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4)))) (Seminorm.instSeminormClass.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4)))))))) p) (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))))))
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_3 : AddCommGroup.{u2} E] [_inst_4 : Module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)] [_inst_6 : TopologicalSpace.{u2} E] [_inst_7 : ContinuousConstSMul.{u1, u2} 𝕜 E _inst_6 (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))] {p : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))} {r : Real}, (LT.lt.{0} Real Real.instLTReal (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) r) -> (Membership.mem.{u2, u2} (Set.{u2} E) (Filter.{u2} E) (instMembershipSetFilter.{u2} E) (Seminorm.closedBall.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) _inst_3 (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4)))) p (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))))) r) (nhds.{u2} E _inst_6 (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))))))) -> (ContinuousAt.{u2, 0} E Real _inst_6 (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_3))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_3) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4)))) (Seminorm.instSeminormClass.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4)))))))) p) (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))))))
 Case conversion may be inaccurate. Consider using '#align seminorm.continuous_at_zero' Seminorm.continuousAt_zero'ₓ'. -/
 theorem continuousAt_zero' [TopologicalSpace E] [ContinuousConstSMul 𝕜 E] {p : Seminorm 𝕜 E} {r : ℝ}
     (hr : 0 < r) (hp : p.closedBall 0 r ∈ (𝓝 0 : Filter E)) : ContinuousAt p 0 :=
@@ -1817,7 +1817,7 @@ theorem continuousAt_zero' [TopologicalSpace E] [ContinuousConstSMul 𝕜 E] {p
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_3 : AddCommGroup.{u2} E] [_inst_4 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)] [_inst_6 : TopologicalSpace.{u2} E] [_inst_7 : ContinuousConstSMul.{u1, u2} 𝕜 E _inst_6 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))] {p : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))} {r : Real}, (LT.lt.{0} Real Real.hasLt (OfNat.ofNat.{0} Real 0 (OfNat.mk.{0} Real 0 (Zero.zero.{0} Real Real.hasZero))) r) -> (Membership.Mem.{u2, u2} (Set.{u2} E) (Filter.{u2} E) (Filter.hasMem.{u2} E) (Seminorm.ball.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) _inst_3 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4)))) p (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_3)))))))) r) (nhds.{u2} E _inst_6 (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_3)))))))))) -> (ContinuousAt.{u2, 0} E Real _inst_6 (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) (fun (_x : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) p) (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_3)))))))))
 but is expected to have type
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_3 : AddCommGroup.{u2} E] [_inst_4 : Module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)] [_inst_6 : TopologicalSpace.{u2} E] [_inst_7 : ContinuousConstSMul.{u1, u2} 𝕜 E _inst_6 (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))] {p : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))} {r : Real}, (LT.lt.{0} Real Real.instLTReal (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) r) -> (Membership.mem.{u2, u2} (Set.{u2} E) (Filter.{u2} E) (instMembershipSetFilter.{u2} E) (Seminorm.ball.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) _inst_3 (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4)))) p (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))))) r) (nhds.{u2} E _inst_6 (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))))))) -> (ContinuousAt.{u2, 0} E Real _inst_6 (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_3))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_3) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4)))) (Seminorm.instSeminormClass.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4)))))))) p) (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))))))
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_3 : AddCommGroup.{u2} E] [_inst_4 : Module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)] [_inst_6 : TopologicalSpace.{u2} E] [_inst_7 : ContinuousConstSMul.{u1, u2} 𝕜 E _inst_6 (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))] {p : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))} {r : Real}, (LT.lt.{0} Real Real.instLTReal (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) r) -> (Membership.mem.{u2, u2} (Set.{u2} E) (Filter.{u2} E) (instMembershipSetFilter.{u2} E) (Seminorm.ball.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) _inst_3 (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4)))) p (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))))) r) (nhds.{u2} E _inst_6 (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))))))) -> (ContinuousAt.{u2, 0} E Real _inst_6 (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_3))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_3) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4)))) (Seminorm.instSeminormClass.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4)))))))) p) (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))))))
 Case conversion may be inaccurate. Consider using '#align seminorm.continuous_at_zero Seminorm.continuousAt_zeroₓ'. -/
 theorem continuousAt_zero [TopologicalSpace E] [ContinuousConstSMul 𝕜 E] {p : Seminorm 𝕜 E} {r : ℝ}
     (hr : 0 < r) (hp : p.ball 0 r ∈ (𝓝 0 : Filter E)) : ContinuousAt p 0 :=
@@ -1828,7 +1828,7 @@ theorem continuousAt_zero [TopologicalSpace E] [ContinuousConstSMul 𝕜 E] {p :
 lean 3 declaration is
   forall {𝕝 : Type.{u1}} {E : Type.{u2}} [_inst_2 : SeminormedRing.{u1} 𝕝] [_inst_3 : AddCommGroup.{u2} E] [_inst_5 : Module.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)] [_inst_6 : UniformSpace.{u2} E] [_inst_7 : UniformAddGroup.{u2} E _inst_6 (AddCommGroup.toAddGroup.{u2} E _inst_3)] {p : Seminorm.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕝 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕝 E (MulZeroClass.toHasZero.{u1} 𝕝 (MulZeroOneClass.toMulZeroClass.{u1} 𝕝 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))}, (ContinuousAt.{u2, 0} E Real (UniformSpace.toTopologicalSpace.{u2} E _inst_6) (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕝 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕝 E (MulZeroClass.toHasZero.{u1} 𝕝 (MulZeroOneClass.toMulZeroClass.{u1} 𝕝 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))) (fun (_x : Seminorm.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕝 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕝 E (MulZeroClass.toHasZero.{u1} 𝕝 (MulZeroOneClass.toMulZeroClass.{u1} 𝕝 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕝 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕝 E (MulZeroClass.toHasZero.{u1} 𝕝 (MulZeroOneClass.toMulZeroClass.{u1} 𝕝 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))) p) (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_3))))))))) -> (UniformContinuous.{u2, 0} E Real _inst_6 (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕝 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕝 E (MulZeroClass.toHasZero.{u1} 𝕝 (MulZeroOneClass.toMulZeroClass.{u1} 𝕝 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))) (fun (_x : Seminorm.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕝 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕝 E (MulZeroClass.toHasZero.{u1} 𝕝 (MulZeroOneClass.toMulZeroClass.{u1} 𝕝 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕝 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕝 E (MulZeroClass.toHasZero.{u1} 𝕝 (MulZeroOneClass.toMulZeroClass.{u1} 𝕝 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))) p))
 but is expected to have type
-  forall {𝕝 : Type.{u1}} {E : Type.{u2}} [_inst_2 : SeminormedRing.{u1} 𝕝] [_inst_3 : AddCommGroup.{u2} E] [_inst_5 : Module.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)] [_inst_6 : UniformSpace.{u2} E] [_inst_7 : UniformAddGroup.{u2} E _inst_6 (AddCommGroup.toAddGroup.{u2} E _inst_3)] {p : Seminorm.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕝 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕝 E (MonoidWithZero.toZero.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))}, (ContinuousAt.{u2, 0} E Real (UniformSpace.toTopologicalSpace.{u2} E _inst_6) (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕝 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕝 E (MonoidWithZero.toZero.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕝 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕝 E (MonoidWithZero.toZero.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_3))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕝 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕝 E (MonoidWithZero.toZero.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_3) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕝 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕝 E (MonoidWithZero.toZero.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))) 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕝 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕝 E (MonoidWithZero.toZero.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5)))) (Seminorm.instSeminormClass.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕝 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕝 E (MonoidWithZero.toZero.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5)))))))) p) (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3)))))))) -> (UniformContinuous.{u2, 0} E Real _inst_6 (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace) (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕝 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕝 E (MonoidWithZero.toZero.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕝 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕝 E (MonoidWithZero.toZero.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_3))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕝 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕝 E (MonoidWithZero.toZero.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_3) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕝 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕝 E (MonoidWithZero.toZero.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))) 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕝 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕝 E (MonoidWithZero.toZero.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5)))) (Seminorm.instSeminormClass.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕝 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕝 E (MonoidWithZero.toZero.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5)))))))) p))
+  forall {𝕝 : Type.{u1}} {E : Type.{u2}} [_inst_2 : SeminormedRing.{u1} 𝕝] [_inst_3 : AddCommGroup.{u2} E] [_inst_5 : Module.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)] [_inst_6 : UniformSpace.{u2} E] [_inst_7 : UniformAddGroup.{u2} E _inst_6 (AddCommGroup.toAddGroup.{u2} E _inst_3)] {p : Seminorm.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕝 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕝 E (MonoidWithZero.toZero.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))}, (ContinuousAt.{u2, 0} E Real (UniformSpace.toTopologicalSpace.{u2} E _inst_6) (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕝 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕝 E (MonoidWithZero.toZero.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕝 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕝 E (MonoidWithZero.toZero.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_3))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕝 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕝 E (MonoidWithZero.toZero.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_3) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕝 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕝 E (MonoidWithZero.toZero.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))) 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕝 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕝 E (MonoidWithZero.toZero.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5)))) (Seminorm.instSeminormClass.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕝 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕝 E (MonoidWithZero.toZero.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5)))))))) p) (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3)))))))) -> (UniformContinuous.{u2, 0} E Real _inst_6 (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace) (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕝 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕝 E (MonoidWithZero.toZero.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕝 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕝 E (MonoidWithZero.toZero.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_3))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕝 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕝 E (MonoidWithZero.toZero.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_3) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕝 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕝 E (MonoidWithZero.toZero.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))) 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕝 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕝 E (MonoidWithZero.toZero.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5)))) (Seminorm.instSeminormClass.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕝 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕝 E (MonoidWithZero.toZero.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5)))))))) p))
 Case conversion may be inaccurate. Consider using '#align seminorm.uniform_continuous_of_continuous_at_zero Seminorm.uniformContinuous_of_continuousAt_zeroₓ'. -/
 protected theorem uniformContinuous_of_continuousAt_zero [UniformSpace E] [UniformAddGroup E]
     {p : Seminorm 𝕝 E} (hp : ContinuousAt p 0) : UniformContinuous p :=
@@ -1845,7 +1845,7 @@ protected theorem uniformContinuous_of_continuousAt_zero [UniformSpace E] [Unifo
 lean 3 declaration is
   forall {𝕝 : Type.{u1}} {E : Type.{u2}} [_inst_2 : SeminormedRing.{u1} 𝕝] [_inst_3 : AddCommGroup.{u2} E] [_inst_5 : Module.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)] [_inst_6 : TopologicalSpace.{u2} E] [_inst_7 : TopologicalAddGroup.{u2} E _inst_6 (AddCommGroup.toAddGroup.{u2} E _inst_3)] {p : Seminorm.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕝 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕝 E (MulZeroClass.toHasZero.{u1} 𝕝 (MulZeroOneClass.toMulZeroClass.{u1} 𝕝 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))}, (ContinuousAt.{u2, 0} E Real _inst_6 (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕝 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕝 E (MulZeroClass.toHasZero.{u1} 𝕝 (MulZeroOneClass.toMulZeroClass.{u1} 𝕝 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))) (fun (_x : Seminorm.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕝 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕝 E (MulZeroClass.toHasZero.{u1} 𝕝 (MulZeroOneClass.toMulZeroClass.{u1} 𝕝 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕝 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕝 E (MulZeroClass.toHasZero.{u1} 𝕝 (MulZeroOneClass.toMulZeroClass.{u1} 𝕝 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))) p) (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_3))))))))) -> (Continuous.{u2, 0} E Real _inst_6 (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕝 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕝 E (MulZeroClass.toHasZero.{u1} 𝕝 (MulZeroOneClass.toMulZeroClass.{u1} 𝕝 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))) (fun (_x : Seminorm.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕝 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕝 E (MulZeroClass.toHasZero.{u1} 𝕝 (MulZeroOneClass.toMulZeroClass.{u1} 𝕝 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕝 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕝 E (MulZeroClass.toHasZero.{u1} 𝕝 (MulZeroOneClass.toMulZeroClass.{u1} 𝕝 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))) p))
 but is expected to have type
-  forall {𝕝 : Type.{u1}} {E : Type.{u2}} [_inst_2 : SeminormedRing.{u1} 𝕝] [_inst_3 : AddCommGroup.{u2} E] [_inst_5 : Module.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)] [_inst_6 : TopologicalSpace.{u2} E] [_inst_7 : TopologicalAddGroup.{u2} E _inst_6 (AddCommGroup.toAddGroup.{u2} E _inst_3)] {p : Seminorm.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕝 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕝 E (MonoidWithZero.toZero.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))}, (ContinuousAt.{u2, 0} E Real _inst_6 (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕝 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕝 E (MonoidWithZero.toZero.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕝 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕝 E (MonoidWithZero.toZero.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_3))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕝 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕝 E (MonoidWithZero.toZero.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_3) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕝 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕝 E (MonoidWithZero.toZero.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))) 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕝 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕝 E (MonoidWithZero.toZero.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5)))) (Seminorm.instSeminormClass.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕝 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕝 E (MonoidWithZero.toZero.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5)))))))) p) (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3)))))))) -> (Continuous.{u2, 0} E Real _inst_6 (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕝 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕝 E (MonoidWithZero.toZero.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕝 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕝 E (MonoidWithZero.toZero.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_3))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕝 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕝 E (MonoidWithZero.toZero.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_3) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕝 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕝 E (MonoidWithZero.toZero.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))) 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕝 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕝 E (MonoidWithZero.toZero.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5)))) (Seminorm.instSeminormClass.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕝 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕝 E (MonoidWithZero.toZero.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5)))))))) p))
+  forall {𝕝 : Type.{u1}} {E : Type.{u2}} [_inst_2 : SeminormedRing.{u1} 𝕝] [_inst_3 : AddCommGroup.{u2} E] [_inst_5 : Module.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)] [_inst_6 : TopologicalSpace.{u2} E] [_inst_7 : TopologicalAddGroup.{u2} E _inst_6 (AddCommGroup.toAddGroup.{u2} E _inst_3)] {p : Seminorm.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕝 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕝 E (MonoidWithZero.toZero.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))}, (ContinuousAt.{u2, 0} E Real _inst_6 (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕝 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕝 E (MonoidWithZero.toZero.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕝 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕝 E (MonoidWithZero.toZero.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_3))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕝 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕝 E (MonoidWithZero.toZero.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_3) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕝 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕝 E (MonoidWithZero.toZero.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))) 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕝 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕝 E (MonoidWithZero.toZero.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5)))) (Seminorm.instSeminormClass.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕝 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕝 E (MonoidWithZero.toZero.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5)))))))) p) (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3)))))))) -> (Continuous.{u2, 0} E Real _inst_6 (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕝 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕝 E (MonoidWithZero.toZero.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕝 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕝 E (MonoidWithZero.toZero.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_3))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕝 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕝 E (MonoidWithZero.toZero.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_3) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕝 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕝 E (MonoidWithZero.toZero.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))) 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕝 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕝 E (MonoidWithZero.toZero.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5)))) (Seminorm.instSeminormClass.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕝 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕝 E (MonoidWithZero.toZero.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5)))))))) p))
 Case conversion may be inaccurate. Consider using '#align seminorm.continuous_of_continuous_at_zero Seminorm.continuous_of_continuousAt_zeroₓ'. -/
 protected theorem continuous_of_continuousAt_zero [TopologicalSpace E] [TopologicalAddGroup E]
     {p : Seminorm 𝕝 E} (hp : ContinuousAt p 0) : Continuous p :=
@@ -1859,7 +1859,7 @@ protected theorem continuous_of_continuousAt_zero [TopologicalSpace E] [Topologi
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_3 : AddCommGroup.{u2} E] [_inst_4 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)] [_inst_6 : UniformSpace.{u2} E] [_inst_7 : UniformAddGroup.{u2} E _inst_6 (AddCommGroup.toAddGroup.{u2} E _inst_3)] [_inst_8 : ContinuousConstSMul.{u1, u2} 𝕜 E (UniformSpace.toTopologicalSpace.{u2} E _inst_6) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))] {p : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))} {r : Real}, (LT.lt.{0} Real Real.hasLt (OfNat.ofNat.{0} Real 0 (OfNat.mk.{0} Real 0 (Zero.zero.{0} Real Real.hasZero))) r) -> (Membership.Mem.{u2, u2} (Set.{u2} E) (Filter.{u2} E) (Filter.hasMem.{u2} E) (Seminorm.ball.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) _inst_3 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4)))) p (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_3)))))))) r) (nhds.{u2} E (UniformSpace.toTopologicalSpace.{u2} E _inst_6) (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_3)))))))))) -> (UniformContinuous.{u2, 0} E Real _inst_6 (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) (fun (_x : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) p))
 but is expected to have type
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_3 : AddCommGroup.{u2} E] [_inst_4 : Module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)] [_inst_6 : UniformSpace.{u2} E] [_inst_7 : UniformAddGroup.{u2} E _inst_6 (AddCommGroup.toAddGroup.{u2} E _inst_3)] [_inst_8 : ContinuousConstSMul.{u1, u2} 𝕜 E (UniformSpace.toTopologicalSpace.{u2} E _inst_6) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))] {p : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))} {r : Real}, (LT.lt.{0} Real Real.instLTReal (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) r) -> (Membership.mem.{u2, u2} (Set.{u2} E) (Filter.{u2} E) (instMembershipSetFilter.{u2} E) (Seminorm.ball.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) _inst_3 (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4)))) p (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))))) r) (nhds.{u2} E (UniformSpace.toTopologicalSpace.{u2} E _inst_6) (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))))))) -> (UniformContinuous.{u2, 0} E Real _inst_6 (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace) (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_3))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_3) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4)))) (Seminorm.instSeminormClass.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4)))))))) p))
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_3 : AddCommGroup.{u2} E] [_inst_4 : Module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)] [_inst_6 : UniformSpace.{u2} E] [_inst_7 : UniformAddGroup.{u2} E _inst_6 (AddCommGroup.toAddGroup.{u2} E _inst_3)] [_inst_8 : ContinuousConstSMul.{u1, u2} 𝕜 E (UniformSpace.toTopologicalSpace.{u2} E _inst_6) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))] {p : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))} {r : Real}, (LT.lt.{0} Real Real.instLTReal (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) r) -> (Membership.mem.{u2, u2} (Set.{u2} E) (Filter.{u2} E) (instMembershipSetFilter.{u2} E) (Seminorm.ball.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) _inst_3 (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4)))) p (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))))) r) (nhds.{u2} E (UniformSpace.toTopologicalSpace.{u2} E _inst_6) (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))))))) -> (UniformContinuous.{u2, 0} E Real _inst_6 (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace) (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_3))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_3) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4)))) (Seminorm.instSeminormClass.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4)))))))) p))
 Case conversion may be inaccurate. Consider using '#align seminorm.uniform_continuous Seminorm.uniformContinuousₓ'. -/
 protected theorem uniformContinuous [UniformSpace E] [UniformAddGroup E] [ContinuousConstSMul 𝕜 E]
     {p : Seminorm 𝕜 E} {r : ℝ} (hr : 0 < r) (hp : p.ball 0 r ∈ (𝓝 0 : Filter E)) :
@@ -1871,7 +1871,7 @@ protected theorem uniformContinuous [UniformSpace E] [UniformAddGroup E] [Contin
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_3 : AddCommGroup.{u2} E] [_inst_4 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)] [_inst_6 : UniformSpace.{u2} E] [_inst_7 : UniformAddGroup.{u2} E _inst_6 (AddCommGroup.toAddGroup.{u2} E _inst_3)] [_inst_8 : ContinuousConstSMul.{u1, u2} 𝕜 E (UniformSpace.toTopologicalSpace.{u2} E _inst_6) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))] {p : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))} {r : Real}, (LT.lt.{0} Real Real.hasLt (OfNat.ofNat.{0} Real 0 (OfNat.mk.{0} Real 0 (Zero.zero.{0} Real Real.hasZero))) r) -> (Membership.Mem.{u2, u2} (Set.{u2} E) (Filter.{u2} E) (Filter.hasMem.{u2} E) (Seminorm.closedBall.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) _inst_3 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4)))) p (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_3)))))))) r) (nhds.{u2} E (UniformSpace.toTopologicalSpace.{u2} E _inst_6) (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_3)))))))))) -> (UniformContinuous.{u2, 0} E Real _inst_6 (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) (fun (_x : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) p))
 but is expected to have type
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_3 : AddCommGroup.{u2} E] [_inst_4 : Module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)] [_inst_6 : UniformSpace.{u2} E] [_inst_7 : UniformAddGroup.{u2} E _inst_6 (AddCommGroup.toAddGroup.{u2} E _inst_3)] [_inst_8 : ContinuousConstSMul.{u1, u2} 𝕜 E (UniformSpace.toTopologicalSpace.{u2} E _inst_6) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))] {p : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))} {r : Real}, (LT.lt.{0} Real Real.instLTReal (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) r) -> (Membership.mem.{u2, u2} (Set.{u2} E) (Filter.{u2} E) (instMembershipSetFilter.{u2} E) (Seminorm.closedBall.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) _inst_3 (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4)))) p (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))))) r) (nhds.{u2} E (UniformSpace.toTopologicalSpace.{u2} E _inst_6) (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))))))) -> (UniformContinuous.{u2, 0} E Real _inst_6 (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace) (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_3))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_3) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4)))) (Seminorm.instSeminormClass.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4)))))))) p))
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_3 : AddCommGroup.{u2} E] [_inst_4 : Module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)] [_inst_6 : UniformSpace.{u2} E] [_inst_7 : UniformAddGroup.{u2} E _inst_6 (AddCommGroup.toAddGroup.{u2} E _inst_3)] [_inst_8 : ContinuousConstSMul.{u1, u2} 𝕜 E (UniformSpace.toTopologicalSpace.{u2} E _inst_6) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))] {p : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))} {r : Real}, (LT.lt.{0} Real Real.instLTReal (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) r) -> (Membership.mem.{u2, u2} (Set.{u2} E) (Filter.{u2} E) (instMembershipSetFilter.{u2} E) (Seminorm.closedBall.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) _inst_3 (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4)))) p (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))))) r) (nhds.{u2} E (UniformSpace.toTopologicalSpace.{u2} E _inst_6) (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))))))) -> (UniformContinuous.{u2, 0} E Real _inst_6 (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace) (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_3))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_3) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4)))) (Seminorm.instSeminormClass.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4)))))))) p))
 Case conversion may be inaccurate. Consider using '#align seminorm.uniform_continuous' Seminorm.uniform_continuous'ₓ'. -/
 protected theorem uniform_continuous' [UniformSpace E] [UniformAddGroup E] [ContinuousConstSMul 𝕜 E]
     {p : Seminorm 𝕜 E} {r : ℝ} (hr : 0 < r) (hp : p.closedBall 0 r ∈ (𝓝 0 : Filter E)) :
@@ -1883,7 +1883,7 @@ protected theorem uniform_continuous' [UniformSpace E] [UniformAddGroup E] [Cont
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_3 : AddCommGroup.{u2} E] [_inst_4 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)] [_inst_6 : TopologicalSpace.{u2} E] [_inst_7 : TopologicalAddGroup.{u2} E _inst_6 (AddCommGroup.toAddGroup.{u2} E _inst_3)] [_inst_8 : ContinuousConstSMul.{u1, u2} 𝕜 E _inst_6 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))] {p : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))} {r : Real}, (LT.lt.{0} Real Real.hasLt (OfNat.ofNat.{0} Real 0 (OfNat.mk.{0} Real 0 (Zero.zero.{0} Real Real.hasZero))) r) -> (Membership.Mem.{u2, u2} (Set.{u2} E) (Filter.{u2} E) (Filter.hasMem.{u2} E) (Seminorm.ball.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) _inst_3 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4)))) p (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_3)))))))) r) (nhds.{u2} E _inst_6 (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_3)))))))))) -> (Continuous.{u2, 0} E Real _inst_6 (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) (fun (_x : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) p))
 but is expected to have type
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_3 : AddCommGroup.{u2} E] [_inst_4 : Module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)] [_inst_6 : TopologicalSpace.{u2} E] [_inst_7 : TopologicalAddGroup.{u2} E _inst_6 (AddCommGroup.toAddGroup.{u2} E _inst_3)] [_inst_8 : ContinuousConstSMul.{u1, u2} 𝕜 E _inst_6 (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))] {p : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))} {r : Real}, (LT.lt.{0} Real Real.instLTReal (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) r) -> (Membership.mem.{u2, u2} (Set.{u2} E) (Filter.{u2} E) (instMembershipSetFilter.{u2} E) (Seminorm.ball.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) _inst_3 (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4)))) p (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))))) r) (nhds.{u2} E _inst_6 (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))))))) -> (Continuous.{u2, 0} E Real _inst_6 (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_3))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_3) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4)))) (Seminorm.instSeminormClass.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4)))))))) p))
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_3 : AddCommGroup.{u2} E] [_inst_4 : Module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)] [_inst_6 : TopologicalSpace.{u2} E] [_inst_7 : TopologicalAddGroup.{u2} E _inst_6 (AddCommGroup.toAddGroup.{u2} E _inst_3)] [_inst_8 : ContinuousConstSMul.{u1, u2} 𝕜 E _inst_6 (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))] {p : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))} {r : Real}, (LT.lt.{0} Real Real.instLTReal (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) r) -> (Membership.mem.{u2, u2} (Set.{u2} E) (Filter.{u2} E) (instMembershipSetFilter.{u2} E) (Seminorm.ball.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) _inst_3 (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4)))) p (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))))) r) (nhds.{u2} E _inst_6 (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))))))) -> (Continuous.{u2, 0} E Real _inst_6 (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_3))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_3) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4)))) (Seminorm.instSeminormClass.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4)))))))) p))
 Case conversion may be inaccurate. Consider using '#align seminorm.continuous Seminorm.continuousₓ'. -/
 protected theorem continuous [TopologicalSpace E] [TopologicalAddGroup E] [ContinuousConstSMul 𝕜 E]
     {p : Seminorm 𝕜 E} {r : ℝ} (hr : 0 < r) (hp : p.ball 0 r ∈ (𝓝 0 : Filter E)) : Continuous p :=
@@ -1894,7 +1894,7 @@ protected theorem continuous [TopologicalSpace E] [TopologicalAddGroup E] [Conti
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_3 : AddCommGroup.{u2} E] [_inst_4 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)] [_inst_6 : TopologicalSpace.{u2} E] [_inst_7 : TopologicalAddGroup.{u2} E _inst_6 (AddCommGroup.toAddGroup.{u2} E _inst_3)] [_inst_8 : ContinuousConstSMul.{u1, u2} 𝕜 E _inst_6 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))] {p : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))} {r : Real}, (LT.lt.{0} Real Real.hasLt (OfNat.ofNat.{0} Real 0 (OfNat.mk.{0} Real 0 (Zero.zero.{0} Real Real.hasZero))) r) -> (Membership.Mem.{u2, u2} (Set.{u2} E) (Filter.{u2} E) (Filter.hasMem.{u2} E) (Seminorm.closedBall.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) _inst_3 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4)))) p (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_3)))))))) r) (nhds.{u2} E _inst_6 (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_3)))))))))) -> (Continuous.{u2, 0} E Real _inst_6 (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) (fun (_x : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) p))
 but is expected to have type
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_3 : AddCommGroup.{u2} E] [_inst_4 : Module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)] [_inst_6 : TopologicalSpace.{u2} E] [_inst_7 : TopologicalAddGroup.{u2} E _inst_6 (AddCommGroup.toAddGroup.{u2} E _inst_3)] [_inst_8 : ContinuousConstSMul.{u1, u2} 𝕜 E _inst_6 (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))] {p : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))} {r : Real}, (LT.lt.{0} Real Real.instLTReal (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) r) -> (Membership.mem.{u2, u2} (Set.{u2} E) (Filter.{u2} E) (instMembershipSetFilter.{u2} E) (Seminorm.closedBall.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) _inst_3 (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4)))) p (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))))) r) (nhds.{u2} E _inst_6 (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))))))) -> (Continuous.{u2, 0} E Real _inst_6 (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_3))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_3) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4)))) (Seminorm.instSeminormClass.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4)))))))) p))
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_3 : AddCommGroup.{u2} E] [_inst_4 : Module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)] [_inst_6 : TopologicalSpace.{u2} E] [_inst_7 : TopologicalAddGroup.{u2} E _inst_6 (AddCommGroup.toAddGroup.{u2} E _inst_3)] [_inst_8 : ContinuousConstSMul.{u1, u2} 𝕜 E _inst_6 (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))] {p : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))} {r : Real}, (LT.lt.{0} Real Real.instLTReal (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) r) -> (Membership.mem.{u2, u2} (Set.{u2} E) (Filter.{u2} E) (instMembershipSetFilter.{u2} E) (Seminorm.closedBall.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) _inst_3 (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4)))) p (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))))) r) (nhds.{u2} E _inst_6 (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))))))) -> (Continuous.{u2, 0} E Real _inst_6 (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_3))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_3) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4)))) (Seminorm.instSeminormClass.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4)))))))) p))
 Case conversion may be inaccurate. Consider using '#align seminorm.continuous' Seminorm.continuous'ₓ'. -/
 protected theorem continuous' [TopologicalSpace E] [TopologicalAddGroup E] [ContinuousConstSMul 𝕜 E]
     {p : Seminorm 𝕜 E} {r : ℝ} (hr : 0 < r) (hp : p.closedBall 0 r ∈ (𝓝 0 : Filter E)) :
@@ -1904,9 +1904,9 @@ protected theorem continuous' [TopologicalSpace E] [TopologicalAddGroup E] [Cont
 
 /- warning: seminorm.continuous_of_le -> Seminorm.continuous_of_le is a dubious translation:
 lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_3 : AddCommGroup.{u2} E] [_inst_4 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)] [_inst_6 : TopologicalSpace.{u2} E] [_inst_7 : TopologicalAddGroup.{u2} E _inst_6 (AddCommGroup.toAddGroup.{u2} E _inst_3)] [_inst_8 : ContinuousConstSMul.{u1, u2} 𝕜 E _inst_6 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))] {p : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))} {q : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))}, (Continuous.{u2, 0} E Real _inst_6 (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) (fun (_x : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) q)) -> (LE.le.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) (Preorder.toLE.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) (PartialOrder.toPreorder.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) (Seminorm.partialOrder.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))))) p q) -> (Continuous.{u2, 0} E Real _inst_6 (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) (fun (_x : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) p))
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_3 : AddCommGroup.{u2} E] [_inst_4 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)] [_inst_6 : TopologicalSpace.{u2} E] [_inst_7 : TopologicalAddGroup.{u2} E _inst_6 (AddCommGroup.toAddGroup.{u2} E _inst_3)] [_inst_8 : ContinuousConstSMul.{u1, u2} 𝕜 E _inst_6 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))] {p : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))} {q : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))}, (Continuous.{u2, 0} E Real _inst_6 (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) (fun (_x : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) q)) -> (LE.le.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) (Preorder.toHasLe.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) (PartialOrder.toPreorder.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) (Seminorm.partialOrder.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))))) p q) -> (Continuous.{u2, 0} E Real _inst_6 (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) (fun (_x : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) p))
 but is expected to have type
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_3 : AddCommGroup.{u2} E] [_inst_4 : Module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)] [_inst_6 : TopologicalSpace.{u2} E] [_inst_7 : TopologicalAddGroup.{u2} E _inst_6 (AddCommGroup.toAddGroup.{u2} E _inst_3)] [_inst_8 : ContinuousConstSMul.{u1, u2} 𝕜 E _inst_6 (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))] {p : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))} {q : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))}, (Continuous.{u2, 0} E Real _inst_6 (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_3))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_3) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4)))) (Seminorm.instSeminormClass.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4)))))))) q)) -> (LE.le.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) (Preorder.toLE.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) (PartialOrder.toPreorder.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) (Seminorm.instPartialOrder.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))))) p q) -> (Continuous.{u2, 0} E Real _inst_6 (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_3))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_3) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4)))) (Seminorm.instSeminormClass.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4)))))))) p))
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_3 : AddCommGroup.{u2} E] [_inst_4 : Module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)] [_inst_6 : TopologicalSpace.{u2} E] [_inst_7 : TopologicalAddGroup.{u2} E _inst_6 (AddCommGroup.toAddGroup.{u2} E _inst_3)] [_inst_8 : ContinuousConstSMul.{u1, u2} 𝕜 E _inst_6 (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))] {p : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))} {q : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))}, (Continuous.{u2, 0} E Real _inst_6 (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_3))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_3) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4)))) (Seminorm.instSeminormClass.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4)))))))) q)) -> (LE.le.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) (Preorder.toLE.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) (PartialOrder.toPreorder.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) (Seminorm.instPartialOrder.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))))) p q) -> (Continuous.{u2, 0} E Real _inst_6 (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_3))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_3) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4)))) (Seminorm.instSeminormClass.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4)))))))) p))
 Case conversion may be inaccurate. Consider using '#align seminorm.continuous_of_le Seminorm.continuous_of_leₓ'. -/
 theorem continuous_of_le [TopologicalSpace E] [TopologicalAddGroup E] [ContinuousConstSMul 𝕜 E]
     {p q : Seminorm 𝕜 E} (hq : Continuous q) (hpq : p ≤ q) : Continuous p :=
@@ -1941,7 +1941,7 @@ def normSeminorm : Seminorm 𝕜 E :=
 lean 3 declaration is
   forall (𝕜 : Type.{u1}) (E : Type.{u2}) [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : SeminormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2], Eq.{succ u2} (E -> Real) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (SeminormedAddGroup.toAddGroup.{u2} E (SeminormedAddCommGroup.toSeminormedAddGroup.{u2} E _inst_2)) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)))))) (fun (_x : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (SeminormedAddGroup.toAddGroup.{u2} E (SeminormedAddCommGroup.toSeminormedAddGroup.{u2} E _inst_2)) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (SeminormedAddGroup.toAddGroup.{u2} E (SeminormedAddCommGroup.toSeminormedAddGroup.{u2} E _inst_2)) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)))))) (normSeminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (Norm.norm.{u2} E (SeminormedAddCommGroup.toHasNorm.{u2} E _inst_2))
 but is expected to have type
-  forall (𝕜 : Type.{u1}) (E : Type.{u2}) [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : SeminormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2], Eq.{succ u2} (forall (ᾰ : E), (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) ᾰ) (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (SeminormedAddGroup.toAddGroup.{u2} E (SeminormedAddCommGroup.toSeminormedAddGroup.{u2} E _inst_2)) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (SeminormedAddGroup.toAddGroup.{u2} E (SeminormedAddCommGroup.toSeminormedAddGroup.{u2} E _inst_2)) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (SeminormedAddGroup.toAddGroup.{u2} E (SeminormedAddCommGroup.toSeminormedAddGroup.{u2} E _inst_2)))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (SeminormedAddGroup.toAddGroup.{u2} E (SeminormedAddCommGroup.toSeminormedAddGroup.{u2} E _inst_2)) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)))))) E Real (SeminormedAddGroup.toAddGroup.{u2} E (SeminormedAddCommGroup.toSeminormedAddGroup.{u2} E _inst_2)) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (SeminormedAddGroup.toAddGroup.{u2} E (SeminormedAddCommGroup.toSeminormedAddGroup.{u2} E _inst_2)) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (SeminormedAddGroup.toAddGroup.{u2} E (SeminormedAddCommGroup.toSeminormedAddGroup.{u2} E _inst_2)) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))))) (Seminorm.instSeminormClass.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (SeminormedAddGroup.toAddGroup.{u2} E (SeminormedAddCommGroup.toSeminormedAddGroup.{u2} E _inst_2)) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))))))))) (normSeminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (Norm.norm.{u2} E (SeminormedAddCommGroup.toNorm.{u2} E _inst_2))
+  forall (𝕜 : Type.{u1}) (E : Type.{u2}) [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : SeminormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2], Eq.{succ u2} (forall (ᾰ : E), (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) ᾰ) (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (SeminormedAddGroup.toAddGroup.{u2} E (SeminormedAddCommGroup.toSeminormedAddGroup.{u2} E _inst_2)) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.838 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (SeminormedAddGroup.toAddGroup.{u2} E (SeminormedAddCommGroup.toSeminormedAddGroup.{u2} E _inst_2)) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (SeminormedAddGroup.toAddGroup.{u2} E (SeminormedAddCommGroup.toSeminormedAddGroup.{u2} E _inst_2)))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (SeminormedAddGroup.toAddGroup.{u2} E (SeminormedAddCommGroup.toSeminormedAddGroup.{u2} E _inst_2)) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)))))) E Real (SeminormedAddGroup.toAddGroup.{u2} E (SeminormedAddCommGroup.toSeminormedAddGroup.{u2} E _inst_2)) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (SeminormedAddGroup.toAddGroup.{u2} E (SeminormedAddCommGroup.toSeminormedAddGroup.{u2} E _inst_2)) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (SeminormedAddGroup.toAddGroup.{u2} E (SeminormedAddCommGroup.toSeminormedAddGroup.{u2} E _inst_2)) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))))) (Seminorm.instSeminormClass.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (SeminormedAddGroup.toAddGroup.{u2} E (SeminormedAddCommGroup.toSeminormedAddGroup.{u2} E _inst_2)) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))))))))) (normSeminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (Norm.norm.{u2} E (SeminormedAddCommGroup.toNorm.{u2} E _inst_2))
 Case conversion may be inaccurate. Consider using '#align coe_norm_seminorm coe_normSeminormₓ'. -/
 @[simp]
 theorem coe_normSeminorm : ⇑(normSeminorm 𝕜 E) = norm :=

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

@@ -1658,7 +1658,7 @@ theorem neg_ball (p : Seminorm 𝕜 E) (r : ℝ) (x : E) : -ball p x r = ball p
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (p : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (y : E) (r : Real) (a : 𝕜), (Ne.{succ u1} 𝕜 a (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))))))) -> (Eq.{succ u2} (Set.{u2} E) (Set.preimage.{u2, u2} E E (SMul.smul.{u1, u2} 𝕜 E (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) a) (Seminorm.ball.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) p y r)) (Seminorm.ball.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) p (SMul.smul.{u1, u2} 𝕜 E (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Inv.inv.{u1} 𝕜 (DivInvMonoid.toHasInv.{u1} 𝕜 (DivisionRing.toDivInvMonoid.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 (NormedField.toNormedDivisionRing.{u1} 𝕜 _inst_1)))) a) y) (HDiv.hDiv.{0, 0, 0} Real Real Real (instHDiv.{0} Real (DivInvMonoid.toHasDiv.{0} Real (DivisionRing.toDivInvMonoid.{0} Real Real.divisionRing))) r (Norm.norm.{u1} 𝕜 (NormedField.toHasNorm.{u1} 𝕜 _inst_1) a))))
 but is expected to have type
-  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : NormedField.{u2} 𝕜] [_inst_2 : AddCommGroup.{u1} E] [_inst_3 : Module.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)] (p : Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) (y : E) (r : Real) (a : 𝕜), (Ne.{succ u2} 𝕜 a (OfNat.ofNat.{u2} 𝕜 0 (Zero.toOfNat0.{u2} 𝕜 (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))))))) -> (Eq.{succ u1} (Set.{u1} E) (Set.preimage.{u1, u1} E E ((fun (x._@.Mathlib.Analysis.Seminorm._hyg.15314 : 𝕜) (x._@.Mathlib.Analysis.Seminorm._hyg.15316 : E) => HSMul.hSMul.{u2, u1, u1} 𝕜 E E (instHSMul.{u2, u1} 𝕜 E (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) x._@.Mathlib.Analysis.Seminorm._hyg.15314 x._@.Mathlib.Analysis.Seminorm._hyg.15316) a) (Seminorm.ball.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) _inst_2 (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))) p y r)) (Seminorm.ball.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) _inst_2 (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))) p (HSMul.hSMul.{u2, u1, u1} 𝕜 E E (instHSMul.{u2, u1} 𝕜 E (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) (Inv.inv.{u2} 𝕜 (Field.toInv.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)) a) y) (HDiv.hDiv.{0, 0, 0} Real Real Real (instHDiv.{0} Real (LinearOrderedField.toDiv.{0} Real Real.instLinearOrderedFieldReal)) r (Norm.norm.{u2} 𝕜 (NormedField.toNorm.{u2} 𝕜 _inst_1) a))))
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : NormedField.{u2} 𝕜] [_inst_2 : AddCommGroup.{u1} E] [_inst_3 : Module.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)] (p : Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) (y : E) (r : Real) (a : 𝕜), (Ne.{succ u2} 𝕜 a (OfNat.ofNat.{u2} 𝕜 0 (Zero.toOfNat0.{u2} 𝕜 (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))))))) -> (Eq.{succ u1} (Set.{u1} E) (Set.preimage.{u1, u1} E E ((fun (x._@.Mathlib.Analysis.Seminorm._hyg.15308 : 𝕜) (x._@.Mathlib.Analysis.Seminorm._hyg.15310 : E) => HSMul.hSMul.{u2, u1, u1} 𝕜 E E (instHSMul.{u2, u1} 𝕜 E (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) x._@.Mathlib.Analysis.Seminorm._hyg.15308 x._@.Mathlib.Analysis.Seminorm._hyg.15310) a) (Seminorm.ball.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) _inst_2 (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))) p y r)) (Seminorm.ball.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) _inst_2 (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))) p (HSMul.hSMul.{u2, u1, u1} 𝕜 E E (instHSMul.{u2, u1} 𝕜 E (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) (Inv.inv.{u2} 𝕜 (Field.toInv.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)) a) y) (HDiv.hDiv.{0, 0, 0} Real Real Real (instHDiv.{0} Real (LinearOrderedField.toDiv.{0} Real Real.instLinearOrderedFieldReal)) r (Norm.norm.{u2} 𝕜 (NormedField.toNorm.{u2} 𝕜 _inst_1) a))))
 Case conversion may be inaccurate. Consider using '#align seminorm.smul_ball_preimage Seminorm.smul_ball_preimageₓ'. -/
 @[simp]
 theorem smul_ball_preimage (p : Seminorm 𝕜 E) (y : E) (r : ℝ) (a : 𝕜) (ha : a ≠ 0) :

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

@@ -721,20 +721,20 @@ noncomputable instance : Inf (Seminorm 𝕜 E)
         obtain rfl | ha := eq_or_ne a 0
         · rw [norm_zero, MulZeroClass.zero_mul, zero_smul]
           refine'
-            cinfᵢ_eq_of_forall_ge_of_forall_gt_exists_lt (fun i => by positivity) fun x hx =>
+            ciInf_eq_of_forall_ge_of_forall_gt_exists_lt (fun i => by positivity) fun x hx =>
               ⟨0, by rwa [map_zero, sub_zero, map_zero, add_zero]⟩
-        simp_rw [Real.mul_infᵢ_of_nonneg (norm_nonneg a), mul_add, ← map_smul_eq_mul p, ←
+        simp_rw [Real.mul_iInf_of_nonneg (norm_nonneg a), mul_add, ← map_smul_eq_mul p, ←
           map_smul_eq_mul q, smul_sub]
         refine'
-          Function.Surjective.infᵢ_congr ((· • ·) a⁻¹ : E → E)
+          Function.Surjective.iInf_congr ((· • ·) a⁻¹ : E → E)
             (fun u => ⟨a • u, inv_smul_smul₀ ha u⟩) fun u => _
         rw [smul_inv_smul₀ ha] }
 
 /- warning: seminorm.inf_apply -> Seminorm.inf_apply is a dubious translation:
 lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (p : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (q : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (x : E), Eq.{1} Real (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (fun (_x : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Inf.inf.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Seminorm.hasInf.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) p q) x) (infᵢ.{0, succ u2} Real Real.hasInf E (fun (u : E) => HAdd.hAdd.{0, 0, 0} Real Real Real (instHAdd.{0} Real Real.hasAdd) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (fun (_x : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) p u) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (fun (_x : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) q (HSub.hSub.{u2, u2, u2} E E E (instHSub.{u2} E (SubNegMonoid.toHasSub.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)))) x u))))
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (p : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (q : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (x : E), Eq.{1} Real (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (fun (_x : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Inf.inf.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Seminorm.hasInf.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) p q) x) (iInf.{0, succ u2} Real Real.hasInf E (fun (u : E) => HAdd.hAdd.{0, 0, 0} Real Real Real (instHAdd.{0} Real Real.hasAdd) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (fun (_x : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) p u) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (fun (_x : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) q (HSub.hSub.{u2, u2, u2} E E E (instHSub.{u2} E (SubNegMonoid.toHasSub.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)))) x u))))
 but is expected to have type
-  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : NormedField.{u2} 𝕜] [_inst_2 : AddCommGroup.{u1} E] [_inst_3 : Module.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)] (p : Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) (q : Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) (x : E), Eq.{1} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) x) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) E Real (AddCommGroup.toAddGroup.{u1} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))) (Seminorm.instSeminormClass.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))))))) (Inf.inf.{u1} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) (Seminorm.instInf.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) p q) x) (infᵢ.{0, succ u1} Real Real.instInfSetReal E (fun (u : E) => HAdd.hAdd.{0, 0, 0} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) u) ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) (HSub.hSub.{u1, u1, u1} E E E (instHSub.{u1} E (SubNegMonoid.toSub.{u1} E (AddGroup.toSubNegMonoid.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_2)))) x u)) ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) u) (instHAdd.{0} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) u) Real.instAddReal) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) E Real (AddCommGroup.toAddGroup.{u1} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))) (Seminorm.instSeminormClass.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))))))) p u) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) E Real (AddCommGroup.toAddGroup.{u1} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))) (Seminorm.instSeminormClass.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))))))) q (HSub.hSub.{u1, u1, u1} E E E (instHSub.{u1} E (SubNegMonoid.toSub.{u1} E (AddGroup.toSubNegMonoid.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_2)))) x u))))
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : NormedField.{u2} 𝕜] [_inst_2 : AddCommGroup.{u1} E] [_inst_3 : Module.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)] (p : Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) (q : Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) (x : E), Eq.{1} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) x) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) E Real (AddCommGroup.toAddGroup.{u1} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))) (Seminorm.instSeminormClass.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))))))) (Inf.inf.{u1} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) (Seminorm.instInf.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) p q) x) (iInf.{0, succ u1} Real Real.instInfSetReal E (fun (u : E) => HAdd.hAdd.{0, 0, 0} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) u) ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) (HSub.hSub.{u1, u1, u1} E E E (instHSub.{u1} E 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(NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) 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(Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) E Real (AddCommGroup.toAddGroup.{u1} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))) (Seminorm.instSeminormClass.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))))))) p u) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) E Real (AddCommGroup.toAddGroup.{u1} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))) (Seminorm.instSeminormClass.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))))))) q (HSub.hSub.{u1, u1, u1} E E E (instHSub.{u1} E (SubNegMonoid.toSub.{u1} E (AddGroup.toSubNegMonoid.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_2)))) x u))))
 Case conversion may be inaccurate. Consider using '#align seminorm.inf_apply Seminorm.inf_applyₓ'. -/
 @[simp]
 theorem inf_apply (p q : Seminorm 𝕜 E) (x : E) : (p ⊓ q) x = ⨅ u : E, p u + q (x - u) :=
@@ -745,11 +745,11 @@ noncomputable instance : Lattice (Seminorm 𝕜 E) :=
   { Seminorm.semilatticeSup with
     inf := (· ⊓ ·)
     inf_le_left := fun p q x =>
-      cinfᵢ_le_of_le bddBelow_range_add x <| by simp only [sub_self, map_zero, add_zero]
+      ciInf_le_of_le bddBelow_range_add x <| by simp only [sub_self, map_zero, add_zero]
     inf_le_right := fun p q x =>
-      cinfᵢ_le_of_le bddBelow_range_add 0 <| by simp only [sub_self, map_zero, zero_add, sub_zero]
+      ciInf_le_of_le bddBelow_range_add 0 <| by simp only [sub_self, map_zero, zero_add, sub_zero]
     le_inf := fun a b c hab hac x =>
-      le_cinfᵢ fun u => (le_map_add_map_sub a _ _).trans <| add_le_add (hab _) (hac _) }
+      le_ciInf fun u => (le_map_add_map_sub a _ _).trans <| add_le_add (hab _) (hac _) }
 
 /- warning: seminorm.smul_inf -> Seminorm.smul_inf is a dubious translation:
 lean 3 declaration is
@@ -761,7 +761,7 @@ theorem smul_inf [SMul R ℝ] [SMul R ℝ≥0] [IsScalarTower R ℝ≥0 ℝ] (r
     r • (p ⊓ q) = r • p ⊓ r • q := by
   ext
   simp_rw [smul_apply, inf_apply, smul_apply, ← smul_one_smul ℝ≥0 r (_ : ℝ), NNReal.smul_def,
-    smul_eq_mul, Real.mul_infᵢ_of_nonneg (Subtype.prop _), mul_add]
+    smul_eq_mul, Real.mul_iInf_of_nonneg (Subtype.prop _), mul_add]
 #align seminorm.smul_inf Seminorm.smul_inf
 
 section Classical
@@ -788,50 +788,50 @@ need for an additional case disjunction. As discussed on Zulip, this doesn't wor
 give a function which does *not* satisfy the seminorm axioms (typically sub-additivity).
 -/
 noncomputable instance : SupSet (Seminorm 𝕜 E)
-    where supₛ s :=
+    where sSup s :=
     if h : BddAbove (coeFn '' s : Set (E → ℝ)) then
       { toFun := ⨆ p : s, ((p : Seminorm 𝕜 E) : E → ℝ)
         map_zero' := by
-          rw [supᵢ_apply, ← @Real.csupᵢ_const_zero s]
+          rw [iSup_apply, ← @Real.ciSup_const_zero s]
           trace
             "./././Mathport/Syntax/Translate/Tactic/Builtin.lean:73:14: unsupported tactic `congrm #[[expr «expr⨆ , »((i), _)]]"
           exact map_zero i.1
         add_le' := fun x y => by
           rcases h with ⟨q, hq⟩
           obtain rfl | h := s.eq_empty_or_nonempty
-          · simp [Real.csupᵢ_empty]
+          · simp [Real.ciSup_empty]
           haveI : Nonempty ↥s := h.coe_sort
-          simp only [supᵢ_apply]
+          simp only [iSup_apply]
           refine'
-                csupᵢ_le fun i =>
+                ciSup_le fun i =>
                   ((i : Seminorm 𝕜 E).add_le' x y).trans <|
-                    add_le_add (le_csupᵢ ⟨q x, _⟩ i) (le_csupᵢ ⟨q y, _⟩ i) <;>
+                    add_le_add (le_ciSup ⟨q x, _⟩ i) (le_ciSup ⟨q y, _⟩ i) <;>
               rw [mem_upperBounds, forall_range_iff] <;>
             exact fun j => hq (mem_image_of_mem _ j.2) _
         neg' := fun x => by
-          simp only [supᵢ_apply]
+          simp only [iSup_apply]
           trace
             "./././Mathport/Syntax/Translate/Tactic/Builtin.lean:73:14: unsupported tactic `congrm #[[expr «expr⨆ , »((i), _)]]"
           exact i.1.neg' _
         smul' := fun a x => by
-          simp only [supᵢ_apply]
+          simp only [iSup_apply]
           rw [← smul_eq_mul,
-            Real.smul_supᵢ_of_nonneg (norm_nonneg a) fun i : s => (i : Seminorm 𝕜 E) x]
+            Real.smul_iSup_of_nonneg (norm_nonneg a) fun i : s => (i : Seminorm 𝕜 E) x]
           trace
             "./././Mathport/Syntax/Translate/Tactic/Builtin.lean:73:14: unsupported tactic `congrm #[[expr «expr⨆ , »((i), _)]]"
           exact i.1.smul' a x }
     else ⊥
 
-/- warning: seminorm.coe_Sup_eq' -> Seminorm.coe_supₛ_eq' is a dubious translation:
+/- warning: seminorm.coe_Sup_eq' -> Seminorm.coe_sSup_eq' is a dubious translation:
 lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {s : Set.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))}, (BddAbove.{u2} (E -> Real) (Pi.preorder.{u2, 0} E (fun (ᾰ : E) => Real) (fun (i : E) => Real.preorder)) (Set.image.{u2, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (E -> Real) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (fun (ᾰ : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) s)) -> (Eq.{succ u2} (E -> Real) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (fun (_x : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (SupSet.supₛ.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Seminorm.hasSup.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) s)) (supᵢ.{u2, succ u2} (E 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(AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) Type.{u2} (Set.hasCoeToSort.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E 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(Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) s) => coeFn.{succ u2, succ u2} (coeSort.{succ u2, succ (succ u2)} (Set.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) Type.{u2} (Set.hasCoeToSort.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) 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(AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) s) (fun (x : coeSort.{succ u2, succ (succ u2)} (Set.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 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(AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) s) => E -> Real) (coeFnTrans.{succ u2, succ u2, succ u2} (coeSort.{succ u2, succ (succ u2)} (Set.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) Type.{u2} (Set.hasCoeToSort.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) s) (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (fun (_x : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (coeBaseAux.{succ u2, succ u2} (coeSort.{succ u2, succ (succ u2)} (Set.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) Type.{u2} (Set.hasCoeToSort.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) s) (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (coeSubtype.{succ u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (fun (x : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) => Membership.Mem.{u2, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Set.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) (Set.hasMem.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) x s)))) p)))
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {s : Set.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))}, (BddAbove.{u2} (E -> Real) (Pi.preorder.{u2, 0} E (fun (ᾰ : E) => Real) (fun (i : E) => Real.preorder)) (Set.image.{u2, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (E -> Real) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (fun (ᾰ : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) s)) -> (Eq.{succ u2} (E -> Real) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 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(SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (SupSet.sSup.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 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(MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) Type.{u2} (Set.hasCoeToSort.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) s) (fun (p : coeSort.{succ u2, succ (succ u2)} (Set.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) Type.{u2} (Set.hasCoeToSort.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) s) => coeFn.{succ u2, succ u2} (coeSort.{succ u2, succ (succ u2)} (Set.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) Type.{u2} (Set.hasCoeToSort.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) 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(AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) s) (fun (x : coeSort.{succ u2, succ (succ u2)} (Set.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) Type.{u2} (Set.hasCoeToSort.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) s) => E -> Real) (coeFnTrans.{succ u2, succ u2, succ u2} (coeSort.{succ u2, succ (succ u2)} (Set.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 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(NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) s) (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 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(NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (coeBaseAux.{succ u2, succ u2} (coeSort.{succ u2, succ (succ u2)} (Set.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) Type.{u2} (Set.hasCoeToSort.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) s) (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (coeSubtype.{succ u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (fun (x : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) => Membership.Mem.{u2, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Set.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) (Set.hasMem.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) x s)))) p)))
 but is expected to have type
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {s : Set.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))}, (BddAbove.{u2} (E -> Real) (Pi.preorder.{u2, 0} E (fun (ᾰ : E) => Real) (fun (i : E) => Real.instPreorderReal)) (Set.image.{u2, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (E -> Real) (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E (fun (ᾰ : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) ᾰ) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Seminorm.instSeminormClass.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))))))) s)) -> (Eq.{succ u2} (forall (ᾰ : E), (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) ᾰ) (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E (fun (_x : E) => (fun 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_inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Seminorm.instSeminormClass.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))))) (SupSet.supₛ.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Seminorm.instSupSet.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) s)) (supᵢ.{u2, succ u2} (forall (ᾰ : E), (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) ᾰ) (Pi.supSet.{u2, 0} E (fun (ᾰ : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) ᾰ) (fun (i : E) => Real.instSupSetReal)) (Set.Elem.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) s) (fun (p : Set.Elem.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) s) => FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E (fun (x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Seminorm.instSeminormClass.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))))) (Subtype.val.{succ u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (fun (x : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) => Membership.mem.{u2, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Set.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) (Set.instMembershipSet.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) x s) p))))
-Case conversion may be inaccurate. Consider using '#align seminorm.coe_Sup_eq' Seminorm.coe_supₛ_eq'ₓ'. -/
-protected theorem coe_supₛ_eq' {s : Set <| Seminorm 𝕜 E}
-    (hs : BddAbove (coeFn '' s : Set (E → ℝ))) : coeFn (supₛ s) = ⨆ p : s, p :=
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {s : Set.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))}, (BddAbove.{u2} (E -> Real) (Pi.preorder.{u2, 0} E (fun (ᾰ : E) => Real) (fun (i : E) => Real.instPreorderReal)) (Set.image.{u2, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (E -> Real) (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E (fun (ᾰ : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) ᾰ) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Seminorm.instSeminormClass.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))))))) s)) -> (Eq.{succ u2} (forall (ᾰ : E), (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) ᾰ) (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Seminorm.instSeminormClass.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))))) (SupSet.sSup.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Seminorm.instSupSet.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) s)) (iSup.{u2, succ u2} (forall (ᾰ : E), (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) ᾰ) (Pi.supSet.{u2, 0} E (fun (ᾰ : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) ᾰ) (fun (i : E) => Real.instSupSetReal)) (Set.Elem.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) s) (fun (p : Set.Elem.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) s) => FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E (fun (x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Seminorm.instSeminormClass.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))))) (Subtype.val.{succ u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (fun (x : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) => Membership.mem.{u2, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Set.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) (Set.instMembershipSet.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) x s) p))))
+Case conversion may be inaccurate. Consider using '#align seminorm.coe_Sup_eq' Seminorm.coe_sSup_eq'ₓ'. -/
+protected theorem coe_sSup_eq' {s : Set <| Seminorm 𝕜 E}
+    (hs : BddAbove (coeFn '' s : Set (E → ℝ))) : coeFn (sSup s) = ⨆ p : s, p :=
   congr_arg _ (dif_pos hs)
-#align seminorm.coe_Sup_eq' Seminorm.coe_supₛ_eq'
+#align seminorm.coe_Sup_eq' Seminorm.coe_sSup_eq'
 
 /- warning: seminorm.bdd_above_iff -> Seminorm.bddAbove_iff is a dubious translation:
 lean 3 declaration is
@@ -842,43 +842,43 @@ Case conversion may be inaccurate. Consider using '#align seminorm.bdd_above_iff
 protected theorem bddAbove_iff {s : Set <| Seminorm 𝕜 E} :
     BddAbove s ↔ BddAbove (coeFn '' s : Set (E → ℝ)) :=
   ⟨fun ⟨q, hq⟩ => ⟨q, ball_image_of_ball fun p hp => hq hp⟩, fun H =>
-    ⟨supₛ s, fun p hp x => by
-      rw [Seminorm.coe_supₛ_eq' H, supᵢ_apply]
+    ⟨sSup s, fun p hp x => by
+      rw [Seminorm.coe_sSup_eq' H, iSup_apply]
       rcases H with ⟨q, hq⟩
       exact
-        le_csupᵢ ⟨q x, forall_range_iff.mpr fun i : s => hq (mem_image_of_mem _ i.2) x⟩ ⟨p, hp⟩⟩⟩
+        le_ciSup ⟨q x, forall_range_iff.mpr fun i : s => hq (mem_image_of_mem _ i.2) x⟩ ⟨p, hp⟩⟩⟩
 #align seminorm.bdd_above_iff Seminorm.bddAbove_iff
 
-/- warning: seminorm.coe_Sup_eq -> Seminorm.coe_supₛ_eq is a dubious translation:
+/- warning: seminorm.coe_Sup_eq -> Seminorm.coe_sSup_eq is a dubious translation:
 lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {s : Set.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))}, (BddAbove.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (PartialOrder.toPreorder.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Seminorm.partialOrder.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) s) -> (Eq.{succ u2} (E -> Real) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (fun (_x : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (SupSet.supₛ.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Seminorm.hasSup.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) s)) (supᵢ.{u2, succ u2} (E -> Real) (Pi.supSet.{u2, 0} E (fun (ᾰ : E) => Real) (fun (i : E) => Real.hasSup)) (coeSort.{succ u2, succ (succ u2)} (Set.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) 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(NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) s) (fun (p : coeSort.{succ u2, succ (succ u2)} (Set.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E 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(AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) Type.{u2} (Set.hasCoeToSort.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) s) => coeFn.{succ u2, succ u2} (coeSort.{succ u2, succ (succ u2)} (Set.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} 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(NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) Type.{u2} (Set.hasCoeToSort.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) s) => E -> Real) (coeFnTrans.{succ u2, succ u2, succ u2} (coeSort.{succ u2, succ (succ u2)} (Set.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) Type.{u2} (Set.hasCoeToSort.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) s) (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (fun (_x : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (coeBaseAux.{succ u2, succ u2} (coeSort.{succ u2, succ (succ u2)} (Set.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) Type.{u2} (Set.hasCoeToSort.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) s) (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (coeSubtype.{succ u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (fun (x : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) => Membership.Mem.{u2, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Set.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) (Set.hasMem.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) x s)))) p)))
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {s : Set.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))}, (BddAbove.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (PartialOrder.toPreorder.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Seminorm.partialOrder.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) s) -> (Eq.{succ u2} (E -> Real) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (fun (_x : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 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(Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) s) => coeFn.{succ u2, succ u2} (coeSort.{succ u2, succ (succ u2)} (Set.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} 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(NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) Type.{u2} (Set.hasCoeToSort.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) s) => E -> Real) (coeFnTrans.{succ u2, succ u2, succ u2} (coeSort.{succ u2, succ (succ u2)} (Set.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E 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(AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) s) (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) 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(AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (coeBaseAux.{succ u2, succ u2} (coeSort.{succ u2, succ (succ u2)} (Set.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) Type.{u2} (Set.hasCoeToSort.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) s) (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (coeSubtype.{succ u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (fun (x : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) => Membership.Mem.{u2, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Set.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) (Set.hasMem.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) x s)))) p)))
 but is expected to have type
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {s : Set.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))}, (BddAbove.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (PartialOrder.toPreorder.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Seminorm.instPartialOrder.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) s) -> (Eq.{succ u2} (forall (ᾰ : E), (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) ᾰ) (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Seminorm.instSeminormClass.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))))) (SupSet.supₛ.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Seminorm.instSupSet.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) s)) (supᵢ.{u2, succ u2} (forall (ᾰ : E), (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) ᾰ) (Pi.supSet.{u2, 0} E (fun (ᾰ : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) ᾰ) (fun (i : E) => Real.instSupSetReal)) (Set.Elem.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) s) (fun (p : Set.Elem.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) s) => FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E (fun (x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Seminorm.instSeminormClass.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))))) (Subtype.val.{succ u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (fun (x : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) => Membership.mem.{u2, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Set.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) (Set.instMembershipSet.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) x s) p))))
-Case conversion may be inaccurate. Consider using '#align seminorm.coe_Sup_eq Seminorm.coe_supₛ_eqₓ'. -/
-protected theorem coe_supₛ_eq {s : Set <| Seminorm 𝕜 E} (hs : BddAbove s) :
-    coeFn (supₛ s) = ⨆ p : s, p :=
-  Seminorm.coe_supₛ_eq' (Seminorm.bddAbove_iff.mp hs)
-#align seminorm.coe_Sup_eq Seminorm.coe_supₛ_eq
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {s : Set.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))}, (BddAbove.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (PartialOrder.toPreorder.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Seminorm.instPartialOrder.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) s) -> (Eq.{succ u2} (forall (ᾰ : E), (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) ᾰ) (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Seminorm.instSeminormClass.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))))) (SupSet.sSup.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Seminorm.instSupSet.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) s)) (iSup.{u2, succ u2} (forall (ᾰ : E), (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) ᾰ) (Pi.supSet.{u2, 0} E (fun (ᾰ : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) ᾰ) (fun (i : E) => Real.instSupSetReal)) (Set.Elem.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) s) (fun (p : Set.Elem.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) s) => FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E (fun (x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Seminorm.instSeminormClass.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))))) (Subtype.val.{succ u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (fun (x : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) => Membership.mem.{u2, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Set.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) (Set.instMembershipSet.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) x s) p))))
+Case conversion may be inaccurate. Consider using '#align seminorm.coe_Sup_eq Seminorm.coe_sSup_eqₓ'. -/
+protected theorem coe_sSup_eq {s : Set <| Seminorm 𝕜 E} (hs : BddAbove s) :
+    coeFn (sSup s) = ⨆ p : s, p :=
+  Seminorm.coe_sSup_eq' (Seminorm.bddAbove_iff.mp hs)
+#align seminorm.coe_Sup_eq Seminorm.coe_sSup_eq
 
-/- warning: seminorm.coe_supr_eq -> Seminorm.coe_supᵢ_eq is a dubious translation:
+/- warning: seminorm.coe_supr_eq -> Seminorm.coe_iSup_eq is a dubious translation:
 lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {ι : Type.{u3}} {p : ι -> (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))}, (BddAbove.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (PartialOrder.toPreorder.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Seminorm.partialOrder.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) (Set.range.{u2, succ u3} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) ι p)) -> (Eq.{succ u2} (E -> Real) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (fun (_x : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (supᵢ.{u2, succ u3} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Seminorm.hasSup.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) ι (fun (i : ι) => p i))) (supᵢ.{u2, succ u3} (E -> Real) (Pi.supSet.{u2, 0} E (fun (ᾰ : E) => Real) (fun (i : E) => Real.hasSup)) ι (fun (i : ι) => coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (fun (_x : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (p i))))
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {ι : Type.{u3}} {p : ι -> (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))}, (BddAbove.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (PartialOrder.toPreorder.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Seminorm.partialOrder.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) (Set.range.{u2, succ u3} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) ι p)) -> (Eq.{succ u2} (E -> Real) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (fun (_x : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (iSup.{u2, succ u3} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Seminorm.hasSup.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) ι (fun (i : ι) => p i))) (iSup.{u2, succ u3} (E -> Real) (Pi.supSet.{u2, 0} E (fun (ᾰ : E) => Real) (fun (i : E) => Real.hasSup)) ι (fun (i : ι) => coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (fun (_x : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (p i))))
 but is expected to have type
-  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : NormedField.{u2} 𝕜] [_inst_2 : AddCommGroup.{u1} E] [_inst_3 : Module.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)] {ι : Type.{u3}} {p : ι -> (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))))}, (BddAbove.{u1} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) (PartialOrder.toPreorder.{u1} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) (Seminorm.instPartialOrder.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))))) (Set.range.{u1, succ u3} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) ι p)) -> (Eq.{succ u1} (forall (ᾰ : E), (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) ᾰ) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) E Real (AddCommGroup.toAddGroup.{u1} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))) (Seminorm.instSeminormClass.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))))))) (supᵢ.{u1, succ u3} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) (Seminorm.instSupSet.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) ι (fun (i : ι) => p i))) (supᵢ.{u1, succ u3} (forall (ᾰ : E), (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) ᾰ) (Pi.supSet.{u1, 0} E (fun (ᾰ : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) ᾰ) (fun (i : E) => Real.instSupSetReal)) ι (fun (i : ι) => FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) E Real (AddCommGroup.toAddGroup.{u1} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))) (Seminorm.instSeminormClass.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))))))) (p i))))
-Case conversion may be inaccurate. Consider using '#align seminorm.coe_supr_eq Seminorm.coe_supᵢ_eqₓ'. -/
-protected theorem coe_supᵢ_eq {ι : Type _} {p : ι → Seminorm 𝕜 E} (hp : BddAbove (range p)) :
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : NormedField.{u2} 𝕜] [_inst_2 : AddCommGroup.{u1} E] [_inst_3 : Module.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)] {ι : Type.{u3}} {p : ι -> (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))))}, (BddAbove.{u1} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) (PartialOrder.toPreorder.{u1} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) (Seminorm.instPartialOrder.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))))) (Set.range.{u1, succ u3} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) ι p)) -> (Eq.{succ u1} (forall (ᾰ : E), (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) ᾰ) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) E Real (AddCommGroup.toAddGroup.{u1} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))) (Seminorm.instSeminormClass.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))))))) (iSup.{u1, succ u3} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) (Seminorm.instSupSet.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) ι (fun (i : ι) => p i))) (iSup.{u1, succ u3} (forall (ᾰ : E), (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) ᾰ) (Pi.supSet.{u1, 0} E (fun (ᾰ : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) ᾰ) (fun (i : E) => Real.instSupSetReal)) ι (fun (i : ι) => FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) E Real (AddCommGroup.toAddGroup.{u1} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))) (Seminorm.instSeminormClass.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))))))) (p i))))
+Case conversion may be inaccurate. Consider using '#align seminorm.coe_supr_eq Seminorm.coe_iSup_eqₓ'. -/
+protected theorem coe_iSup_eq {ι : Type _} {p : ι → Seminorm 𝕜 E} (hp : BddAbove (range p)) :
     coeFn (⨆ i, p i) = ⨆ i, p i := by
-  rw [← supₛ_range, Seminorm.coe_supₛ_eq hp] <;> exact supᵢ_range' (coeFn : Seminorm 𝕜 E → E → ℝ) p
-#align seminorm.coe_supr_eq Seminorm.coe_supᵢ_eq
+  rw [← sSup_range, Seminorm.coe_sSup_eq hp] <;> exact iSup_range' (coeFn : Seminorm 𝕜 E → E → ℝ) p
+#align seminorm.coe_supr_eq Seminorm.coe_iSup_eq
 
 private theorem seminorm.is_lub_Sup (s : Set (Seminorm 𝕜 E)) (hs₁ : BddAbove s) (hs₂ : s.Nonempty) :
-    IsLUB s (supₛ s) :=
+    IsLUB s (sSup s) :=
   by
   refine' ⟨fun p hp x => _, fun p hp x => _⟩ <;> haveI : Nonempty ↥s := hs₂.coe_sort <;>
-    rw [Seminorm.coe_supₛ_eq hs₁, supᵢ_apply]
+    rw [Seminorm.coe_sSup_eq hs₁, iSup_apply]
   · rcases hs₁ with ⟨q, hq⟩
-    exact le_csupᵢ ⟨q x, forall_range_iff.mpr fun i : s => hq i.2 x⟩ ⟨p, hp⟩
-  · exact csupᵢ_le fun q => hp q.2 x
+    exact le_ciSup ⟨q x, forall_range_iff.mpr fun i : s => hq i.2 x⟩ ⟨p, hp⟩
+  · exact ciSup_le fun q => hp q.2 x
 #align seminorm.seminorm.is_lub_Sup seminorm.seminorm.is_lub_Sup
 
 /-- `seminorm 𝕜 E` is a conditionally complete lattice.
@@ -889,7 +889,7 @@ defined as the supremum of the lower bounds of `s`, which is not really useful i
 need to use `Inf` on seminorms, then you should probably provide a more workable definition first,
 but this is unlikely to happen so we keep the "bad" definition for now. -/
 noncomputable instance : ConditionallyCompleteLattice (Seminorm 𝕜 E) :=
-  conditionallyCompleteLatticeOfLatticeOfSupₛ (Seminorm 𝕜 E) Seminorm.isLUB_supₛ
+  conditionallyCompleteLatticeOfLatticeOfsSup (Seminorm 𝕜 E) Seminorm.isLUB_sSup
 
 end Classical
 
@@ -1011,15 +1011,15 @@ theorem ball_subset_closedBall (x r) : ball p x r ⊆ closedBall p x r := fun y
 #align seminorm.ball_subset_closed_ball Seminorm.ball_subset_closedBall
 -/
 
-/- warning: seminorm.closed_ball_eq_bInter_ball -> Seminorm.closedBall_eq_binterᵢ_ball is a dubious translation:
+/- warning: seminorm.closed_ball_eq_bInter_ball -> Seminorm.closedBall_eq_biInter_ball is a dubious translation:
 lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : SMul.{u1, u2} 𝕜 E] (p : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) (x : E) (r : Real), Eq.{succ u2} (Set.{u2} E) (Seminorm.closedBall.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 p x r) (Set.interᵢ.{u2, 1} E Real (fun (ρ : Real) => Set.interᵢ.{u2, 0} E (GT.gt.{0} Real Real.hasLt ρ r) (fun (H : GT.gt.{0} Real Real.hasLt ρ r) => Seminorm.ball.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 p x ρ)))
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : SMul.{u1, u2} 𝕜 E] (p : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) (x : E) (r : Real), Eq.{succ u2} (Set.{u2} E) (Seminorm.closedBall.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 p x r) (Set.iInter.{u2, 1} E Real (fun (ρ : Real) => Set.iInter.{u2, 0} E (GT.gt.{0} Real Real.hasLt ρ r) (fun (H : GT.gt.{0} Real Real.hasLt ρ r) => Seminorm.ball.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 p x ρ)))
 but is expected to have type
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : SMul.{u1, u2} 𝕜 E] (p : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) (x : E) (r : Real), Eq.{succ u2} (Set.{u2} E) (Seminorm.closedBall.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 p x r) (Set.interᵢ.{u2, 1} E Real (fun (ρ : Real) => Set.interᵢ.{u2, 0} E (GT.gt.{0} Real Real.instLTReal ρ r) (fun (H : GT.gt.{0} Real Real.instLTReal ρ r) => Seminorm.ball.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 p x ρ)))
-Case conversion may be inaccurate. Consider using '#align seminorm.closed_ball_eq_bInter_ball Seminorm.closedBall_eq_binterᵢ_ballₓ'. -/
-theorem closedBall_eq_binterᵢ_ball (x r) : closedBall p x r = ⋂ ρ > r, ball p x ρ := by
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : SMul.{u1, u2} 𝕜 E] (p : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) (x : E) (r : Real), Eq.{succ u2} (Set.{u2} E) (Seminorm.closedBall.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 p x r) (Set.iInter.{u2, 1} E Real (fun (ρ : Real) => Set.iInter.{u2, 0} E (GT.gt.{0} Real Real.instLTReal ρ r) (fun (H : GT.gt.{0} Real Real.instLTReal ρ r) => Seminorm.ball.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 p x ρ)))
+Case conversion may be inaccurate. Consider using '#align seminorm.closed_ball_eq_bInter_ball Seminorm.closedBall_eq_biInter_ballₓ'. -/
+theorem closedBall_eq_biInter_ball (x r) : closedBall p x r = ⋂ ρ > r, ball p x ρ := by
   ext y <;> simp_rw [mem_closed_ball, mem_Inter₂, mem_ball, ← forall_lt_iff_le']
-#align seminorm.closed_ball_eq_bInter_ball Seminorm.closedBall_eq_binterᵢ_ball
+#align seminorm.closed_ball_eq_bInter_ball Seminorm.closedBall_eq_biInter_ball
 
 /- warning: seminorm.ball_zero' -> Seminorm.ball_zero' is a dubious translation:
 lean 3 declaration is
@@ -1365,33 +1365,33 @@ theorem balanced_closedBall_zero (r : ℝ) : Balanced 𝕜 (closedBall p 0 r) :=
     
 #align seminorm.balanced_closed_ball_zero Seminorm.balanced_closedBall_zero
 
-/- warning: seminorm.ball_finset_sup_eq_Inter -> Seminorm.ball_finset_sup_eq_interᵢ is a dubious translation:
+/- warning: seminorm.ball_finset_sup_eq_Inter -> Seminorm.ball_finset_sup_eq_iInter is a dubious translation:
 lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} {ι : Type.{u3}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (p : ι -> (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) (s : Finset.{u3} ι) (x : E) {r : Real}, (LT.lt.{0} Real Real.hasLt (OfNat.ofNat.{0} Real 0 (OfNat.mk.{0} Real 0 (Zero.zero.{0} Real Real.hasZero))) r) -> (Eq.{succ u2} (Set.{u2} E) (Seminorm.ball.{u1, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Finset.sup.{u2, u3} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) ι (Seminorm.semilatticeSup.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Seminorm.orderBot.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) s p) x r) (Set.interᵢ.{u2, succ u3} E ι (fun (i : ι) => Set.interᵢ.{u2, 0} E (Membership.Mem.{u3, u3} ι (Finset.{u3} ι) (Finset.hasMem.{u3} ι) i s) (fun (H : Membership.Mem.{u3, u3} ι (Finset.{u3} ι) (Finset.hasMem.{u3} ι) i s) => Seminorm.ball.{u1, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (p i) x r))))
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} {ι : Type.{u3}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (p : ι -> (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) (s : Finset.{u3} ι) (x : E) {r : Real}, (LT.lt.{0} Real Real.hasLt (OfNat.ofNat.{0} Real 0 (OfNat.mk.{0} Real 0 (Zero.zero.{0} Real Real.hasZero))) r) -> (Eq.{succ u2} (Set.{u2} E) (Seminorm.ball.{u1, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Finset.sup.{u2, u3} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) ι (Seminorm.semilatticeSup.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Seminorm.orderBot.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) s p) x r) (Set.iInter.{u2, succ u3} E ι (fun (i : ι) => Set.iInter.{u2, 0} E (Membership.Mem.{u3, u3} ι (Finset.{u3} ι) (Finset.hasMem.{u3} ι) i s) (fun (H : Membership.Mem.{u3, u3} ι (Finset.{u3} ι) (Finset.hasMem.{u3} ι) i s) => Seminorm.ball.{u1, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (p i) x r))))
 but is expected to have type
-  forall {𝕜 : Type.{u3}} {E : Type.{u2}} {ι : Type.{u1}} [_inst_1 : SeminormedRing.{u3} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (p : ι -> (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) (s : Finset.{u1} ι) (x : E) {r : Real}, (LT.lt.{0} Real Real.instLTReal (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) r) -> (Eq.{succ u2} (Set.{u2} E) (Seminorm.ball.{u3, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Finset.sup.{u2, u1} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) ι (Seminorm.instSemilatticeSup.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Seminorm.instOrderBot.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3) s p) x r) (Set.interᵢ.{u2, succ u1} E ι (fun (i : ι) => Set.interᵢ.{u2, 0} E (Membership.mem.{u1, u1} ι (Finset.{u1} ι) (Finset.instMembershipFinset.{u1} ι) i s) (fun (H : Membership.mem.{u1, u1} ι (Finset.{u1} ι) (Finset.instMembershipFinset.{u1} ι) i s) => Seminorm.ball.{u3, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (p i) x r))))
-Case conversion may be inaccurate. Consider using '#align seminorm.ball_finset_sup_eq_Inter Seminorm.ball_finset_sup_eq_interᵢₓ'. -/
-theorem ball_finset_sup_eq_interᵢ (p : ι → Seminorm 𝕜 E) (s : Finset ι) (x : E) {r : ℝ}
+  forall {𝕜 : Type.{u3}} {E : Type.{u2}} {ι : Type.{u1}} [_inst_1 : SeminormedRing.{u3} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (p : ι -> (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) (s : Finset.{u1} ι) (x : E) {r : Real}, (LT.lt.{0} Real Real.instLTReal (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) r) -> (Eq.{succ u2} (Set.{u2} E) (Seminorm.ball.{u3, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Finset.sup.{u2, u1} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) ι (Seminorm.instSemilatticeSup.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Seminorm.instOrderBot.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3) s p) x r) (Set.iInter.{u2, succ u1} E ι (fun (i : ι) => Set.iInter.{u2, 0} E (Membership.mem.{u1, u1} ι (Finset.{u1} ι) (Finset.instMembershipFinset.{u1} ι) i s) (fun (H : Membership.mem.{u1, u1} ι (Finset.{u1} ι) (Finset.instMembershipFinset.{u1} ι) i s) => Seminorm.ball.{u3, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (p i) x r))))
+Case conversion may be inaccurate. Consider using '#align seminorm.ball_finset_sup_eq_Inter Seminorm.ball_finset_sup_eq_iInterₓ'. -/
+theorem ball_finset_sup_eq_iInter (p : ι → Seminorm 𝕜 E) (s : Finset ι) (x : E) {r : ℝ}
     (hr : 0 < r) : ball (s.sup p) x r = ⋂ i ∈ s, ball (p i) x r :=
   by
   lift r to NNReal using hr.le
   simp_rw [ball, Inter_set_of, finset_sup_apply, NNReal.coe_lt_coe,
     Finset.sup_lt_iff (show ⊥ < r from hr), ← NNReal.coe_lt_coe, Subtype.coe_mk]
-#align seminorm.ball_finset_sup_eq_Inter Seminorm.ball_finset_sup_eq_interᵢ
+#align seminorm.ball_finset_sup_eq_Inter Seminorm.ball_finset_sup_eq_iInter
 
-/- warning: seminorm.closed_ball_finset_sup_eq_Inter -> Seminorm.closedBall_finset_sup_eq_interᵢ is a dubious translation:
+/- warning: seminorm.closed_ball_finset_sup_eq_Inter -> Seminorm.closedBall_finset_sup_eq_iInter is a dubious translation:
 lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} {ι : Type.{u3}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (p : ι -> (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) (s : Finset.{u3} ι) (x : E) {r : Real}, (LE.le.{0} Real Real.hasLe (OfNat.ofNat.{0} Real 0 (OfNat.mk.{0} Real 0 (Zero.zero.{0} Real Real.hasZero))) r) -> (Eq.{succ u2} (Set.{u2} E) (Seminorm.closedBall.{u1, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Finset.sup.{u2, u3} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) ι (Seminorm.semilatticeSup.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Seminorm.orderBot.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) s p) x r) (Set.interᵢ.{u2, succ u3} E ι (fun (i : ι) => Set.interᵢ.{u2, 0} E (Membership.Mem.{u3, u3} ι (Finset.{u3} ι) (Finset.hasMem.{u3} ι) i s) (fun (H : Membership.Mem.{u3, u3} ι (Finset.{u3} ι) (Finset.hasMem.{u3} ι) i s) => Seminorm.closedBall.{u1, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (p i) x r))))
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} {ι : Type.{u3}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (p : ι -> (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) (s : Finset.{u3} ι) (x : E) {r : Real}, (LE.le.{0} Real Real.hasLe (OfNat.ofNat.{0} Real 0 (OfNat.mk.{0} Real 0 (Zero.zero.{0} Real Real.hasZero))) r) -> (Eq.{succ u2} (Set.{u2} E) (Seminorm.closedBall.{u1, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Finset.sup.{u2, u3} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) ι (Seminorm.semilatticeSup.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Seminorm.orderBot.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) s p) x r) (Set.iInter.{u2, succ u3} E ι (fun (i : ι) => Set.iInter.{u2, 0} E (Membership.Mem.{u3, u3} ι (Finset.{u3} ι) (Finset.hasMem.{u3} ι) i s) (fun (H : Membership.Mem.{u3, u3} ι (Finset.{u3} ι) (Finset.hasMem.{u3} ι) i s) => Seminorm.closedBall.{u1, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (p i) x r))))
 but is expected to have type
-  forall {𝕜 : Type.{u3}} {E : Type.{u2}} {ι : Type.{u1}} [_inst_1 : SeminormedRing.{u3} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (p : ι -> (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) (s : Finset.{u1} ι) (x : E) {r : Real}, (LE.le.{0} Real Real.instLEReal (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) r) -> (Eq.{succ u2} (Set.{u2} E) (Seminorm.closedBall.{u3, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Finset.sup.{u2, u1} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) ι (Seminorm.instSemilatticeSup.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Seminorm.instOrderBot.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3) s p) x r) (Set.interᵢ.{u2, succ u1} E ι (fun (i : ι) => Set.interᵢ.{u2, 0} E (Membership.mem.{u1, u1} ι (Finset.{u1} ι) (Finset.instMembershipFinset.{u1} ι) i s) (fun (H : Membership.mem.{u1, u1} ι (Finset.{u1} ι) (Finset.instMembershipFinset.{u1} ι) i s) => Seminorm.closedBall.{u3, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (p i) x r))))
-Case conversion may be inaccurate. Consider using '#align seminorm.closed_ball_finset_sup_eq_Inter Seminorm.closedBall_finset_sup_eq_interᵢₓ'. -/
-theorem closedBall_finset_sup_eq_interᵢ (p : ι → Seminorm 𝕜 E) (s : Finset ι) (x : E) {r : ℝ}
+  forall {𝕜 : Type.{u3}} {E : Type.{u2}} {ι : Type.{u1}} [_inst_1 : SeminormedRing.{u3} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (p : ι -> (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) (s : Finset.{u1} ι) (x : E) {r : Real}, (LE.le.{0} Real Real.instLEReal (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) r) -> (Eq.{succ u2} (Set.{u2} E) (Seminorm.closedBall.{u3, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Finset.sup.{u2, u1} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) ι (Seminorm.instSemilatticeSup.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Seminorm.instOrderBot.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3) s p) x r) (Set.iInter.{u2, succ u1} E ι (fun (i : ι) => Set.iInter.{u2, 0} E (Membership.mem.{u1, u1} ι (Finset.{u1} ι) (Finset.instMembershipFinset.{u1} ι) i s) (fun (H : Membership.mem.{u1, u1} ι (Finset.{u1} ι) (Finset.instMembershipFinset.{u1} ι) i s) => Seminorm.closedBall.{u3, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (p i) x r))))
+Case conversion may be inaccurate. Consider using '#align seminorm.closed_ball_finset_sup_eq_Inter Seminorm.closedBall_finset_sup_eq_iInterₓ'. -/
+theorem closedBall_finset_sup_eq_iInter (p : ι → Seminorm 𝕜 E) (s : Finset ι) (x : E) {r : ℝ}
     (hr : 0 ≤ r) : closedBall (s.sup p) x r = ⋂ i ∈ s, closedBall (p i) x r :=
   by
   lift r to NNReal using hr
   simp_rw [closed_ball, Inter_set_of, finset_sup_apply, NNReal.coe_le_coe, Finset.sup_le_iff, ←
     NNReal.coe_le_coe, Subtype.coe_mk]
-#align seminorm.closed_ball_finset_sup_eq_Inter Seminorm.closedBall_finset_sup_eq_interᵢ
+#align seminorm.closed_ball_finset_sup_eq_Inter Seminorm.closedBall_finset_sup_eq_iInter
 
 /- warning: seminorm.ball_finset_sup -> Seminorm.ball_finset_sup is a dubious translation:
 lean 3 declaration is
@@ -1402,7 +1402,7 @@ Case conversion may be inaccurate. Consider using '#align seminorm.ball_finset_s
 theorem ball_finset_sup (p : ι → Seminorm 𝕜 E) (s : Finset ι) (x : E) {r : ℝ} (hr : 0 < r) :
     ball (s.sup p) x r = s.inf fun i => ball (p i) x r :=
   by
-  rw [Finset.inf_eq_infᵢ]
+  rw [Finset.inf_eq_iInf]
   exact ball_finset_sup_eq_Inter _ _ _ hr
 #align seminorm.ball_finset_sup Seminorm.ball_finset_sup
 
@@ -1415,7 +1415,7 @@ Case conversion may be inaccurate. Consider using '#align seminorm.closed_ball_f
 theorem closedBall_finset_sup (p : ι → Seminorm 𝕜 E) (s : Finset ι) (x : E) {r : ℝ} (hr : 0 ≤ r) :
     closedBall (s.sup p) x r = s.inf fun i => closedBall (p i) x r :=
   by
-  rw [Finset.inf_eq_infᵢ]
+  rw [Finset.inf_eq_iInf]
   exact closed_ball_finset_sup_eq_Inter _ _ _ hr
 #align seminorm.closed_ball_finset_sup Seminorm.closedBall_finset_sup
 
@@ -1720,7 +1720,7 @@ theorem convex_ball : Convex ℝ (ball p x r) :=
 theorem convex_closedBall : Convex ℝ (closedBall p x r) :=
   by
   rw [closed_ball_eq_bInter_ball]
-  exact convex_interᵢ₂ fun _ _ => convex_ball _ _ _
+  exact convex_iInter₂ fun _ _ => convex_ball _ _ _
 #align seminorm.convex_closed_ball Seminorm.convex_closedBall
 -/
 

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

@@ -430,7 +430,7 @@ def comp (p : Seminorm 𝕜₂ E₂) (f : E →ₛₗ[σ₁₂] E₂) : Seminorm
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {𝕜₂ : Type.{u2}} {E : Type.{u3}} {E₂ : Type.{u4}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : SeminormedRing.{u2} 𝕜₂] {σ₁₂ : RingHom.{u1, u2} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))} [_inst_4 : RingHomIsometric.{u1, u2} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (SeminormedRing.toHasNorm.{u1} 𝕜 _inst_1) (SeminormedRing.toHasNorm.{u2} 𝕜₂ _inst_2) σ₁₂] [_inst_7 : AddCommGroup.{u3} E] [_inst_8 : AddCommGroup.{u4} E₂] [_inst_12 : Module.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)] [_inst_13 : Module.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)] (p : Seminorm.{u2, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))) (f : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_12 _inst_13), Eq.{succ u3} (E -> Real) (coeFn.{succ u3, succ u3} (Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))) (fun (_x : Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))) (Seminorm.comp.{u1, u2, u3, u4} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 p f)) (Function.comp.{succ u3, succ u4, 1} E E₂ Real (coeFn.{succ u4, succ u4} (Seminorm.{u2, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))) (fun (_x : Seminorm.{u2, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))) => E₂ -> Real) (Seminorm.hasCoeToFun.{u2, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))) p) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_12 _inst_13) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_12 _inst_13) => E -> E₂) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜 𝕜₂ E E₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_12 _inst_13 σ₁₂) f))
 but is expected to have type
-  forall {𝕜 : Type.{u2}} {𝕜₂ : Type.{u4}} {E : Type.{u1}} {E₂ : Type.{u3}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_2 : SeminormedRing.{u4} 𝕜₂] {σ₁₂ : RingHom.{u2, u4} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NonAssocRing.toNonAssocSemiring.{u4} 𝕜₂ (Ring.toNonAssocRing.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))} [_inst_4 : RingHomIsometric.{u2, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (SeminormedRing.toNorm.{u2} 𝕜 _inst_1) (SeminormedRing.toNorm.{u4} 𝕜₂ _inst_2) σ₁₂] [_inst_7 : AddCommGroup.{u1} E] [_inst_8 : AddCommGroup.{u3} E₂] [_inst_12 : Module.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7)] [_inst_13 : Module.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8)] (p : Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) (f : LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_12 _inst_13), Eq.{succ u1} (forall (ᾰ : E), (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) ᾰ) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_7))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) E Real (AddCommGroup.toAddGroup.{u1} E _inst_7) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12)))) (Seminorm.instSeminormClass.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12)))))))) (Seminorm.comp.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 p f)) (Function.comp.{succ u1, succ u3, 1} E E₂ Real (FunLike.coe.{succ u3, succ u3, 1} (Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) E₂ (fun (_x : E₂) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E₂) => Real) _x) (SubadditiveHomClass.toFunLike.{u3, u3, 0} (Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) E₂ Real (AddZeroClass.toAdd.{u3} E₂ (AddMonoid.toAddZeroClass.{u3} E₂ (SubNegMonoid.toAddMonoid.{u3} E₂ (AddGroup.toSubNegMonoid.{u3} E₂ (AddCommGroup.toAddGroup.{u3} E₂ _inst_8))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u3, u3, 0} (Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) E₂ Real (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u3, u4, u3} (Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13)))) (Seminorm.instSeminormClass.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13)))))))) p) (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_12 _inst_13) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : E) => E₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_12 _inst_13 σ₁₂) f))
+  forall {𝕜 : Type.{u2}} {𝕜₂ : Type.{u4}} {E : Type.{u1}} {E₂ : Type.{u3}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_2 : SeminormedRing.{u4} 𝕜₂] {σ₁₂ : RingHom.{u2, u4} 𝕜 𝕜₂ (Semiring.toNonAssocSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (Semiring.toNonAssocSemiring.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))} [_inst_4 : RingHomIsometric.{u2, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (SeminormedRing.toNorm.{u2} 𝕜 _inst_1) (SeminormedRing.toNorm.{u4} 𝕜₂ _inst_2) σ₁₂] [_inst_7 : AddCommGroup.{u1} E] [_inst_8 : AddCommGroup.{u3} E₂] [_inst_12 : Module.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7)] [_inst_13 : Module.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8)] (p : Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) (f : LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_12 _inst_13), Eq.{succ u1} (forall (ᾰ : E), (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) ᾰ) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_7))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) E Real (AddCommGroup.toAddGroup.{u1} E _inst_7) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12)))) (Seminorm.instSeminormClass.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12)))))))) (Seminorm.comp.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 p f)) (Function.comp.{succ u1, succ u3, 1} E E₂ Real (FunLike.coe.{succ u3, succ u3, 1} (Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) E₂ (fun (_x : E₂) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E₂) => Real) _x) (SubadditiveHomClass.toFunLike.{u3, u3, 0} (Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) E₂ Real (AddZeroClass.toAdd.{u3} E₂ (AddMonoid.toAddZeroClass.{u3} E₂ (SubNegMonoid.toAddMonoid.{u3} E₂ (AddGroup.toSubNegMonoid.{u3} E₂ (AddCommGroup.toAddGroup.{u3} E₂ _inst_8))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u3, u3, 0} (Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) E₂ Real (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u3, u4, u3} (Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13)))) (Seminorm.instSeminormClass.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13)))))))) p) (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_12 _inst_13) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : E) => E₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_12 _inst_13 σ₁₂) f))
 Case conversion may be inaccurate. Consider using '#align seminorm.coe_comp Seminorm.coe_compₓ'. -/
 theorem coe_comp (p : Seminorm 𝕜₂ E₂) (f : E →ₛₗ[σ₁₂] E₂) : ⇑(p.comp f) = p ∘ f :=
   rfl
@@ -440,7 +440,7 @@ theorem coe_comp (p : Seminorm 𝕜₂ E₂) (f : E →ₛₗ[σ₁₂] E₂) :
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {𝕜₂ : Type.{u2}} {E : Type.{u3}} {E₂ : Type.{u4}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : SeminormedRing.{u2} 𝕜₂] {σ₁₂ : RingHom.{u1, u2} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))} [_inst_4 : RingHomIsometric.{u1, u2} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (SeminormedRing.toHasNorm.{u1} 𝕜 _inst_1) (SeminormedRing.toHasNorm.{u2} 𝕜₂ _inst_2) σ₁₂] [_inst_7 : AddCommGroup.{u3} E] [_inst_8 : AddCommGroup.{u4} E₂] [_inst_12 : Module.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)] [_inst_13 : Module.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)] (p : Seminorm.{u2, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))) (f : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_12 _inst_13) (x : E), Eq.{1} Real (coeFn.{succ u3, succ u3} (Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))) (fun (_x : Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))) (Seminorm.comp.{u1, u2, u3, u4} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 p f) x) (coeFn.{succ u4, succ u4} (Seminorm.{u2, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))) (fun (_x : Seminorm.{u2, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))) => E₂ -> Real) (Seminorm.hasCoeToFun.{u2, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))) p (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_12 _inst_13) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_12 _inst_13) => E -> E₂) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜 𝕜₂ E E₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_12 _inst_13 σ₁₂) f x))
 but is expected to have type
-  forall {𝕜 : Type.{u2}} {𝕜₂ : Type.{u4}} {E : Type.{u1}} {E₂ : Type.{u3}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_2 : SeminormedRing.{u4} 𝕜₂] {σ₁₂ : RingHom.{u2, u4} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NonAssocRing.toNonAssocSemiring.{u4} 𝕜₂ (Ring.toNonAssocRing.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))} [_inst_4 : RingHomIsometric.{u2, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (SeminormedRing.toNorm.{u2} 𝕜 _inst_1) (SeminormedRing.toNorm.{u4} 𝕜₂ _inst_2) σ₁₂] [_inst_7 : AddCommGroup.{u1} E] [_inst_8 : AddCommGroup.{u3} E₂] [_inst_12 : Module.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7)] [_inst_13 : Module.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8)] (p : Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) (f : LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_12 _inst_13) (x : E), Eq.{1} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) x) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_7))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) E Real (AddCommGroup.toAddGroup.{u1} E _inst_7) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12)))) (Seminorm.instSeminormClass.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12)))))))) (Seminorm.comp.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 p f) x) (FunLike.coe.{succ u3, succ u3, 1} (Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) E₂ (fun (_x : E₂) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E₂) => Real) _x) (SubadditiveHomClass.toFunLike.{u3, u3, 0} (Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) E₂ Real (AddZeroClass.toAdd.{u3} E₂ (AddMonoid.toAddZeroClass.{u3} E₂ (SubNegMonoid.toAddMonoid.{u3} E₂ (AddGroup.toSubNegMonoid.{u3} E₂ (AddCommGroup.toAddGroup.{u3} E₂ _inst_8))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u3, u3, 0} (Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) E₂ Real (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u3, u4, u3} (Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13)))) (Seminorm.instSeminormClass.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13)))))))) p (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_12 _inst_13) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : E) => E₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_12 _inst_13 σ₁₂) f x))
+  forall {𝕜 : Type.{u2}} {𝕜₂ : Type.{u4}} {E : Type.{u1}} {E₂ : Type.{u3}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_2 : SeminormedRing.{u4} 𝕜₂] {σ₁₂ : RingHom.{u2, u4} 𝕜 𝕜₂ (Semiring.toNonAssocSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (Semiring.toNonAssocSemiring.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))} [_inst_4 : RingHomIsometric.{u2, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (SeminormedRing.toNorm.{u2} 𝕜 _inst_1) (SeminormedRing.toNorm.{u4} 𝕜₂ _inst_2) σ₁₂] [_inst_7 : AddCommGroup.{u1} E] [_inst_8 : AddCommGroup.{u3} E₂] [_inst_12 : Module.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7)] [_inst_13 : Module.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8)] (p : Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) (f : LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_12 _inst_13) (x : E), Eq.{1} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) x) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_7))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) E Real (AddCommGroup.toAddGroup.{u1} E _inst_7) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12)))) (Seminorm.instSeminormClass.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12)))))))) (Seminorm.comp.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 p f) x) (FunLike.coe.{succ u3, succ u3, 1} (Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) E₂ (fun (_x : E₂) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E₂) => Real) _x) (SubadditiveHomClass.toFunLike.{u3, u3, 0} (Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) E₂ Real (AddZeroClass.toAdd.{u3} E₂ (AddMonoid.toAddZeroClass.{u3} E₂ (SubNegMonoid.toAddMonoid.{u3} E₂ (AddGroup.toSubNegMonoid.{u3} E₂ (AddCommGroup.toAddGroup.{u3} E₂ _inst_8))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u3, u3, 0} (Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) E₂ Real (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u3, u4, u3} (Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13)))) (Seminorm.instSeminormClass.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13)))))))) p (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_12 _inst_13) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : E) => E₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_12 _inst_13 σ₁₂) f x))
 Case conversion may be inaccurate. Consider using '#align seminorm.comp_apply Seminorm.comp_applyₓ'. -/
 @[simp]
 theorem comp_apply (p : Seminorm 𝕜₂ E₂) (f : E →ₛₗ[σ₁₂] E₂) (x : E) : (p.comp f) x = p (f x) :=
@@ -462,7 +462,7 @@ theorem comp_id (p : Seminorm 𝕜 E) : p.comp LinearMap.id = p :=
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {𝕜₂ : Type.{u2}} {E : Type.{u3}} {E₂ : Type.{u4}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : SeminormedRing.{u2} 𝕜₂] {σ₁₂ : RingHom.{u1, u2} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))} [_inst_4 : RingHomIsometric.{u1, u2} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (SeminormedRing.toHasNorm.{u1} 𝕜 _inst_1) (SeminormedRing.toHasNorm.{u2} 𝕜₂ _inst_2) σ₁₂] [_inst_7 : AddCommGroup.{u3} E] [_inst_8 : AddCommGroup.{u4} E₂] [_inst_12 : Module.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)] [_inst_13 : Module.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)] (p : Seminorm.{u2, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))), Eq.{succ u3} (Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))) (Seminorm.comp.{u1, u2, u3, u4} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 p (OfNat.ofNat.{max u3 u4} (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_12 _inst_13) 0 (OfNat.mk.{max u3 u4} (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_12 _inst_13) 0 (Zero.zero.{max u3 u4} (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_12 _inst_13) (LinearMap.hasZero.{u1, u2, u3, u4} 𝕜 𝕜₂ E E₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_12 _inst_13 σ₁₂))))) (OfNat.ofNat.{u3} (Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))) 0 (OfNat.mk.{u3} (Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))) 0 (Zero.zero.{u3} (Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))) (Seminorm.hasZero.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))))))
 but is expected to have type
-  forall {𝕜 : Type.{u1}} {𝕜₂ : Type.{u4}} {E : Type.{u2}} {E₂ : Type.{u3}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : SeminormedRing.{u4} 𝕜₂] {σ₁₂ : RingHom.{u1, u4} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NonAssocRing.toNonAssocSemiring.{u4} 𝕜₂ (Ring.toNonAssocRing.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))} [_inst_4 : RingHomIsometric.{u1, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (SeminormedRing.toNorm.{u1} 𝕜 _inst_1) (SeminormedRing.toNorm.{u4} 𝕜₂ _inst_2) σ₁₂] [_inst_7 : AddCommGroup.{u2} E] [_inst_8 : AddCommGroup.{u3} E₂] [_inst_12 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)] [_inst_13 : Module.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8)] (p : Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))), Eq.{succ u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Seminorm.comp.{u1, u4, u2, u3} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 p (OfNat.ofNat.{max u2 u3} (LinearMap.{u1, u4, u2, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_12 _inst_13) 0 (Zero.toOfNat0.{max u2 u3} (LinearMap.{u1, u4, u2, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_12 _inst_13) (LinearMap.instZeroLinearMap.{u1, u4, u2, u3} 𝕜 𝕜₂ E E₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_12 _inst_13 σ₁₂)))) (OfNat.ofNat.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) 0 (Zero.toOfNat0.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Seminorm.instZero.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))))))
+  forall {𝕜 : Type.{u1}} {𝕜₂ : Type.{u4}} {E : Type.{u2}} {E₂ : Type.{u3}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : SeminormedRing.{u4} 𝕜₂] {σ₁₂ : RingHom.{u1, u4} 𝕜 𝕜₂ (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (Semiring.toNonAssocSemiring.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))} [_inst_4 : RingHomIsometric.{u1, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (SeminormedRing.toNorm.{u1} 𝕜 _inst_1) (SeminormedRing.toNorm.{u4} 𝕜₂ _inst_2) σ₁₂] [_inst_7 : AddCommGroup.{u2} E] [_inst_8 : AddCommGroup.{u3} E₂] [_inst_12 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)] [_inst_13 : Module.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8)] (p : Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))), Eq.{succ u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Seminorm.comp.{u1, u4, u2, u3} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 p (OfNat.ofNat.{max u2 u3} (LinearMap.{u1, u4, u2, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_12 _inst_13) 0 (Zero.toOfNat0.{max u2 u3} (LinearMap.{u1, u4, u2, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_12 _inst_13) (LinearMap.instZeroLinearMap.{u1, u4, u2, u3} 𝕜 𝕜₂ E E₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_12 _inst_13 σ₁₂)))) (OfNat.ofNat.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) 0 (Zero.toOfNat0.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Seminorm.instZero.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))))))
 Case conversion may be inaccurate. Consider using '#align seminorm.comp_zero Seminorm.comp_zeroₓ'. -/
 @[simp]
 theorem comp_zero (p : Seminorm 𝕜₂ E₂) : p.comp (0 : E →ₛₗ[σ₁₂] E₂) = 0 :=
@@ -473,7 +473,7 @@ theorem comp_zero (p : Seminorm 𝕜₂ E₂) : p.comp (0 : E →ₛₗ[σ₁₂
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {𝕜₂ : Type.{u2}} {E : Type.{u3}} {E₂ : Type.{u4}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : SeminormedRing.{u2} 𝕜₂] {σ₁₂ : RingHom.{u1, u2} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))} [_inst_4 : RingHomIsometric.{u1, u2} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (SeminormedRing.toHasNorm.{u1} 𝕜 _inst_1) (SeminormedRing.toHasNorm.{u2} 𝕜₂ _inst_2) σ₁₂] [_inst_7 : AddCommGroup.{u3} E] [_inst_8 : AddCommGroup.{u4} E₂] [_inst_12 : Module.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)] [_inst_13 : Module.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)] (f : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_12 _inst_13), Eq.{succ u3} (Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))) (Seminorm.comp.{u1, u2, u3, u4} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 (OfNat.ofNat.{u4} (Seminorm.{u2, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))) 0 (OfNat.mk.{u4} (Seminorm.{u2, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))) 0 (Zero.zero.{u4} (Seminorm.{u2, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))) (Seminorm.hasZero.{u2, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13)))))))) f) (OfNat.ofNat.{u3} (Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))) 0 (OfNat.mk.{u3} (Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))) 0 (Zero.zero.{u3} (Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))) (Seminorm.hasZero.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))))))
 but is expected to have type
-  forall {𝕜 : Type.{u4}} {𝕜₂ : Type.{u3}} {E : Type.{u2}} {E₂ : Type.{u1}} [_inst_1 : SeminormedRing.{u4} 𝕜] [_inst_2 : SeminormedRing.{u3} 𝕜₂] {σ₁₂ : RingHom.{u4, u3} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u4} 𝕜 (Ring.toNonAssocRing.{u4} 𝕜 (SeminormedRing.toRing.{u4} 𝕜 _inst_1))) (NonAssocRing.toNonAssocSemiring.{u3} 𝕜₂ (Ring.toNonAssocRing.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2)))} [_inst_4 : RingHomIsometric.{u4, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u4} 𝕜 (SeminormedRing.toRing.{u4} 𝕜 _inst_1)) (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2)) (SeminormedRing.toNorm.{u4} 𝕜 _inst_1) (SeminormedRing.toNorm.{u3} 𝕜₂ _inst_2) σ₁₂] [_inst_7 : AddCommGroup.{u2} E] [_inst_8 : AddCommGroup.{u1} E₂] [_inst_12 : Module.{u4, u2} 𝕜 E (Ring.toSemiring.{u4} 𝕜 (SeminormedRing.toRing.{u4} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)] [_inst_13 : Module.{u3, u1} 𝕜₂ E₂ (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} E₂ _inst_8)] (f : LinearMap.{u4, u3, u2, u1} 𝕜 𝕜₂ (Ring.toSemiring.{u4} 𝕜 (SeminormedRing.toRing.{u4} 𝕜 _inst_1)) (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) (AddCommGroup.toAddCommMonoid.{u1} E₂ _inst_8) _inst_12 _inst_13), Eq.{succ u2} (Seminorm.{u4, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u4, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u4, u2} 𝕜 E (MonoidWithZero.toZero.{u4} 𝕜 (Semiring.toMonoidWithZero.{u4} 𝕜 (Ring.toSemiring.{u4} 𝕜 (SeminormedRing.toRing.{u4} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u4, u2} 𝕜 E (Semiring.toMonoidWithZero.{u4} 𝕜 (Ring.toSemiring.{u4} 𝕜 (SeminormedRing.toRing.{u4} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u4, u2} 𝕜 E (Ring.toSemiring.{u4} 𝕜 (SeminormedRing.toRing.{u4} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Seminorm.comp.{u4, u3, u2, u1} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 (OfNat.ofNat.{u1} (Seminorm.{u3, u1} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u1} E₂ _inst_8) (SMulZeroClass.toSMul.{u3, u1} 𝕜₂ E₂ (NegZeroClass.toZero.{u1} E₂ (SubNegZeroMonoid.toNegZeroClass.{u1} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u3, u1} 𝕜₂ E₂ (MonoidWithZero.toZero.{u3} 𝕜₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u1} E₂ (SubNegZeroMonoid.toNegZeroClass.{u1} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u3, u1} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u1} E₂ (SubNegZeroMonoid.toNegZeroClass.{u1} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} E₂ _inst_8))))) (Module.toMulActionWithZero.{u3, u1} 𝕜₂ E₂ (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} E₂ _inst_8) _inst_13))))) 0 (Zero.toOfNat0.{u1} (Seminorm.{u3, u1} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u1} E₂ _inst_8) (SMulZeroClass.toSMul.{u3, u1} 𝕜₂ E₂ (NegZeroClass.toZero.{u1} E₂ (SubNegZeroMonoid.toNegZeroClass.{u1} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u3, u1} 𝕜₂ E₂ (MonoidWithZero.toZero.{u3} 𝕜₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u1} E₂ (SubNegZeroMonoid.toNegZeroClass.{u1} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u3, u1} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u1} E₂ (SubNegZeroMonoid.toNegZeroClass.{u1} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} E₂ _inst_8))))) (Module.toMulActionWithZero.{u3, u1} 𝕜₂ E₂ (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} E₂ _inst_8) _inst_13))))) (Seminorm.instZero.{u3, u1} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u1} E₂ _inst_8) (SMulZeroClass.toSMul.{u3, u1} 𝕜₂ E₂ (NegZeroClass.toZero.{u1} E₂ (SubNegZeroMonoid.toNegZeroClass.{u1} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u3, u1} 𝕜₂ E₂ (MonoidWithZero.toZero.{u3} 𝕜₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u1} E₂ (SubNegZeroMonoid.toNegZeroClass.{u1} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u3, u1} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u1} E₂ (SubNegZeroMonoid.toNegZeroClass.{u1} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} E₂ _inst_8))))) (Module.toMulActionWithZero.{u3, u1} 𝕜₂ E₂ (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} E₂ _inst_8) _inst_13))))))) f) (OfNat.ofNat.{u2} (Seminorm.{u4, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u4, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u4, u2} 𝕜 E (MonoidWithZero.toZero.{u4} 𝕜 (Semiring.toMonoidWithZero.{u4} 𝕜 (Ring.toSemiring.{u4} 𝕜 (SeminormedRing.toRing.{u4} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u4, u2} 𝕜 E (Semiring.toMonoidWithZero.{u4} 𝕜 (Ring.toSemiring.{u4} 𝕜 (SeminormedRing.toRing.{u4} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u4, u2} 𝕜 E (Ring.toSemiring.{u4} 𝕜 (SeminormedRing.toRing.{u4} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) 0 (Zero.toOfNat0.{u2} (Seminorm.{u4, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u4, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u4, u2} 𝕜 E (MonoidWithZero.toZero.{u4} 𝕜 (Semiring.toMonoidWithZero.{u4} 𝕜 (Ring.toSemiring.{u4} 𝕜 (SeminormedRing.toRing.{u4} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u4, u2} 𝕜 E (Semiring.toMonoidWithZero.{u4} 𝕜 (Ring.toSemiring.{u4} 𝕜 (SeminormedRing.toRing.{u4} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u4, u2} 𝕜 E (Ring.toSemiring.{u4} 𝕜 (SeminormedRing.toRing.{u4} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Seminorm.instZero.{u4, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u4, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u4, u2} 𝕜 E (MonoidWithZero.toZero.{u4} 𝕜 (Semiring.toMonoidWithZero.{u4} 𝕜 (Ring.toSemiring.{u4} 𝕜 (SeminormedRing.toRing.{u4} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u4, u2} 𝕜 E (Semiring.toMonoidWithZero.{u4} 𝕜 (Ring.toSemiring.{u4} 𝕜 (SeminormedRing.toRing.{u4} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u4, u2} 𝕜 E (Ring.toSemiring.{u4} 𝕜 (SeminormedRing.toRing.{u4} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))))))
+  forall {𝕜 : Type.{u4}} {𝕜₂ : Type.{u3}} {E : Type.{u2}} {E₂ : Type.{u1}} [_inst_1 : SeminormedRing.{u4} 𝕜] [_inst_2 : SeminormedRing.{u3} 𝕜₂] {σ₁₂ : RingHom.{u4, u3} 𝕜 𝕜₂ (Semiring.toNonAssocSemiring.{u4} 𝕜 (Ring.toSemiring.{u4} 𝕜 (SeminormedRing.toRing.{u4} 𝕜 _inst_1))) (Semiring.toNonAssocSemiring.{u3} 𝕜₂ (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2)))} [_inst_4 : RingHomIsometric.{u4, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u4} 𝕜 (SeminormedRing.toRing.{u4} 𝕜 _inst_1)) (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2)) (SeminormedRing.toNorm.{u4} 𝕜 _inst_1) (SeminormedRing.toNorm.{u3} 𝕜₂ _inst_2) σ₁₂] [_inst_7 : AddCommGroup.{u2} E] [_inst_8 : AddCommGroup.{u1} E₂] [_inst_12 : Module.{u4, u2} 𝕜 E (Ring.toSemiring.{u4} 𝕜 (SeminormedRing.toRing.{u4} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)] [_inst_13 : Module.{u3, u1} 𝕜₂ E₂ (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} E₂ _inst_8)] (f : LinearMap.{u4, u3, u2, u1} 𝕜 𝕜₂ (Ring.toSemiring.{u4} 𝕜 (SeminormedRing.toRing.{u4} 𝕜 _inst_1)) (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) (AddCommGroup.toAddCommMonoid.{u1} E₂ _inst_8) _inst_12 _inst_13), Eq.{succ u2} (Seminorm.{u4, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u4, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u4, u2} 𝕜 E (MonoidWithZero.toZero.{u4} 𝕜 (Semiring.toMonoidWithZero.{u4} 𝕜 (Ring.toSemiring.{u4} 𝕜 (SeminormedRing.toRing.{u4} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u4, u2} 𝕜 E (Semiring.toMonoidWithZero.{u4} 𝕜 (Ring.toSemiring.{u4} 𝕜 (SeminormedRing.toRing.{u4} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u4, u2} 𝕜 E (Ring.toSemiring.{u4} 𝕜 (SeminormedRing.toRing.{u4} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Seminorm.comp.{u4, u3, u2, u1} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 (OfNat.ofNat.{u1} (Seminorm.{u3, u1} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u1} E₂ _inst_8) (SMulZeroClass.toSMul.{u3, u1} 𝕜₂ E₂ (NegZeroClass.toZero.{u1} E₂ (SubNegZeroMonoid.toNegZeroClass.{u1} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u3, u1} 𝕜₂ E₂ (MonoidWithZero.toZero.{u3} 𝕜₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u1} E₂ (SubNegZeroMonoid.toNegZeroClass.{u1} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u3, u1} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u1} E₂ (SubNegZeroMonoid.toNegZeroClass.{u1} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} E₂ _inst_8))))) (Module.toMulActionWithZero.{u3, u1} 𝕜₂ E₂ (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} E₂ _inst_8) _inst_13))))) 0 (Zero.toOfNat0.{u1} (Seminorm.{u3, u1} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u1} E₂ _inst_8) (SMulZeroClass.toSMul.{u3, u1} 𝕜₂ E₂ (NegZeroClass.toZero.{u1} E₂ (SubNegZeroMonoid.toNegZeroClass.{u1} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u3, u1} 𝕜₂ E₂ (MonoidWithZero.toZero.{u3} 𝕜₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u1} E₂ (SubNegZeroMonoid.toNegZeroClass.{u1} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u3, u1} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u1} E₂ (SubNegZeroMonoid.toNegZeroClass.{u1} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} E₂ _inst_8))))) (Module.toMulActionWithZero.{u3, u1} 𝕜₂ E₂ (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} E₂ _inst_8) _inst_13))))) (Seminorm.instZero.{u3, u1} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u1} E₂ _inst_8) (SMulZeroClass.toSMul.{u3, u1} 𝕜₂ E₂ (NegZeroClass.toZero.{u1} E₂ (SubNegZeroMonoid.toNegZeroClass.{u1} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u3, u1} 𝕜₂ E₂ (MonoidWithZero.toZero.{u3} 𝕜₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u1} E₂ (SubNegZeroMonoid.toNegZeroClass.{u1} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u3, u1} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u1} E₂ (SubNegZeroMonoid.toNegZeroClass.{u1} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} E₂ _inst_8))))) (Module.toMulActionWithZero.{u3, u1} 𝕜₂ E₂ (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} E₂ _inst_8) _inst_13))))))) f) (OfNat.ofNat.{u2} (Seminorm.{u4, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u4, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u4, u2} 𝕜 E (MonoidWithZero.toZero.{u4} 𝕜 (Semiring.toMonoidWithZero.{u4} 𝕜 (Ring.toSemiring.{u4} 𝕜 (SeminormedRing.toRing.{u4} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u4, u2} 𝕜 E (Semiring.toMonoidWithZero.{u4} 𝕜 (Ring.toSemiring.{u4} 𝕜 (SeminormedRing.toRing.{u4} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u4, u2} 𝕜 E (Ring.toSemiring.{u4} 𝕜 (SeminormedRing.toRing.{u4} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) 0 (Zero.toOfNat0.{u2} (Seminorm.{u4, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u4, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u4, u2} 𝕜 E (MonoidWithZero.toZero.{u4} 𝕜 (Semiring.toMonoidWithZero.{u4} 𝕜 (Ring.toSemiring.{u4} 𝕜 (SeminormedRing.toRing.{u4} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u4, u2} 𝕜 E (Semiring.toMonoidWithZero.{u4} 𝕜 (Ring.toSemiring.{u4} 𝕜 (SeminormedRing.toRing.{u4} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u4, u2} 𝕜 E (Ring.toSemiring.{u4} 𝕜 (SeminormedRing.toRing.{u4} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Seminorm.instZero.{u4, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u4, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u4, u2} 𝕜 E (MonoidWithZero.toZero.{u4} 𝕜 (Semiring.toMonoidWithZero.{u4} 𝕜 (Ring.toSemiring.{u4} 𝕜 (SeminormedRing.toRing.{u4} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u4, u2} 𝕜 E (Semiring.toMonoidWithZero.{u4} 𝕜 (Ring.toSemiring.{u4} 𝕜 (SeminormedRing.toRing.{u4} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u4, u2} 𝕜 E (Ring.toSemiring.{u4} 𝕜 (SeminormedRing.toRing.{u4} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))))))
 Case conversion may be inaccurate. Consider using '#align seminorm.zero_comp Seminorm.zero_compₓ'. -/
 @[simp]
 theorem zero_comp (f : E →ₛₗ[σ₁₂] E₂) : (0 : Seminorm 𝕜₂ E₂).comp f = 0 :=
@@ -484,7 +484,7 @@ theorem zero_comp (f : E →ₛₗ[σ₁₂] E₂) : (0 : Seminorm 𝕜₂ E₂)
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {𝕜₂ : Type.{u2}} {𝕜₃ : Type.{u3}} {E : Type.{u4}} {E₂ : Type.{u5}} {E₃ : Type.{u6}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : SeminormedRing.{u2} 𝕜₂] [_inst_3 : SeminormedRing.{u3} 𝕜₃] {σ₁₂ : RingHom.{u1, u2} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))} [_inst_4 : RingHomIsometric.{u1, u2} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (SeminormedRing.toHasNorm.{u1} 𝕜 _inst_1) (SeminormedRing.toHasNorm.{u2} 𝕜₂ _inst_2) σ₁₂] {σ₂₃ : RingHom.{u2, u3} 𝕜₂ 𝕜₃ (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (NonAssocRing.toNonAssocSemiring.{u3} 𝕜₃ (Ring.toNonAssocRing.{u3} 𝕜₃ (SeminormedRing.toRing.{u3} 𝕜₃ _inst_3)))} [_inst_5 : RingHomIsometric.{u2, u3} 𝕜₂ 𝕜₃ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (Ring.toSemiring.{u3} 𝕜₃ (SeminormedRing.toRing.{u3} 𝕜₃ _inst_3)) (SeminormedRing.toHasNorm.{u2} 𝕜₂ _inst_2) (SeminormedRing.toHasNorm.{u3} 𝕜₃ _inst_3) σ₂₃] {σ₁₃ : RingHom.{u1, u3} 𝕜 𝕜₃ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NonAssocRing.toNonAssocSemiring.{u3} 𝕜₃ (Ring.toNonAssocRing.{u3} 𝕜₃ (SeminormedRing.toRing.{u3} 𝕜₃ _inst_3)))} [_inst_6 : RingHomIsometric.{u1, u3} 𝕜 𝕜₃ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u3} 𝕜₃ (SeminormedRing.toRing.{u3} 𝕜₃ _inst_3)) (SeminormedRing.toHasNorm.{u1} 𝕜 _inst_1) (SeminormedRing.toHasNorm.{u3} 𝕜₃ _inst_3) σ₁₃] [_inst_7 : AddCommGroup.{u4} E] [_inst_8 : AddCommGroup.{u5} E₂] [_inst_9 : AddCommGroup.{u6} E₃] [_inst_12 : Module.{u1, u4} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} E _inst_7)] [_inst_13 : Module.{u2, u5} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u5} E₂ _inst_8)] [_inst_14 : Module.{u3, u6} 𝕜₃ E₃ (Ring.toSemiring.{u3} 𝕜₃ (SeminormedRing.toRing.{u3} 𝕜₃ _inst_3)) (AddCommGroup.toAddCommMonoid.{u6} E₃ _inst_9)] [_inst_20 : RingHomCompTriple.{u1, u2, u3} 𝕜 𝕜₂ 𝕜₃ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (Ring.toSemiring.{u3} 𝕜₃ (SeminormedRing.toRing.{u3} 𝕜₃ _inst_3)) σ₁₂ σ₂₃ σ₁₃] (p : Seminorm.{u3, u6} 𝕜₃ E₃ _inst_3 (AddCommGroup.toAddGroup.{u6} E₃ _inst_9) (SMulZeroClass.toHasSmul.{u3, u6} 𝕜₃ E₃ (AddZeroClass.toHasZero.{u6} E₃ (AddMonoid.toAddZeroClass.{u6} E₃ (AddCommMonoid.toAddMonoid.{u6} E₃ (AddCommGroup.toAddCommMonoid.{u6} E₃ _inst_9)))) (SMulWithZero.toSmulZeroClass.{u3, u6} 𝕜₃ E₃ (MulZeroClass.toHasZero.{u3} 𝕜₃ (MulZeroOneClass.toMulZeroClass.{u3} 𝕜₃ (MonoidWithZero.toMulZeroOneClass.{u3} 𝕜₃ (Semiring.toMonoidWithZero.{u3} 𝕜₃ (Ring.toSemiring.{u3} 𝕜₃ (SeminormedRing.toRing.{u3} 𝕜₃ _inst_3)))))) (AddZeroClass.toHasZero.{u6} E₃ (AddMonoid.toAddZeroClass.{u6} E₃ (AddCommMonoid.toAddMonoid.{u6} E₃ (AddCommGroup.toAddCommMonoid.{u6} E₃ _inst_9)))) (MulActionWithZero.toSMulWithZero.{u3, u6} 𝕜₃ E₃ (Semiring.toMonoidWithZero.{u3} 𝕜₃ (Ring.toSemiring.{u3} 𝕜₃ (SeminormedRing.toRing.{u3} 𝕜₃ _inst_3))) (AddZeroClass.toHasZero.{u6} E₃ (AddMonoid.toAddZeroClass.{u6} E₃ (AddCommMonoid.toAddMonoid.{u6} E₃ (AddCommGroup.toAddCommMonoid.{u6} E₃ _inst_9)))) (Module.toMulActionWithZero.{u3, u6} 𝕜₃ E₃ (Ring.toSemiring.{u3} 𝕜₃ (SeminormedRing.toRing.{u3} 𝕜₃ _inst_3)) (AddCommGroup.toAddCommMonoid.{u6} E₃ _inst_9) _inst_14))))) (g : LinearMap.{u2, u3, u5, u6} 𝕜₂ 𝕜₃ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (Ring.toSemiring.{u3} 𝕜₃ (SeminormedRing.toRing.{u3} 𝕜₃ _inst_3)) σ₂₃ E₂ E₃ (AddCommGroup.toAddCommMonoid.{u5} E₂ _inst_8) (AddCommGroup.toAddCommMonoid.{u6} E₃ _inst_9) _inst_13 _inst_14) (f : LinearMap.{u1, u2, u4, u5} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u4} E _inst_7) (AddCommGroup.toAddCommMonoid.{u5} E₂ _inst_8) _inst_12 _inst_13), Eq.{succ u4} (Seminorm.{u1, u4} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u4} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u4} 𝕜 E (AddZeroClass.toHasZero.{u4} E (AddMonoid.toAddZeroClass.{u4} E (AddCommMonoid.toAddMonoid.{u4} E (AddCommGroup.toAddCommMonoid.{u4} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u4} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u4} E (AddMonoid.toAddZeroClass.{u4} E (AddCommMonoid.toAddMonoid.{u4} E (AddCommGroup.toAddCommMonoid.{u4} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u4} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u4} E (AddMonoid.toAddZeroClass.{u4} E (AddCommMonoid.toAddMonoid.{u4} E (AddCommGroup.toAddCommMonoid.{u4} E _inst_7)))) (Module.toMulActionWithZero.{u1, u4} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} E _inst_7) _inst_12))))) (Seminorm.comp.{u1, u3, u4, u6} 𝕜 𝕜₃ E E₃ _inst_1 _inst_3 σ₁₃ _inst_6 _inst_7 _inst_9 _inst_12 _inst_14 p (LinearMap.comp.{u1, u2, u3, u4, u5, u6} 𝕜 𝕜₂ 𝕜₃ E E₂ E₃ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (Ring.toSemiring.{u3} 𝕜₃ (SeminormedRing.toRing.{u3} 𝕜₃ _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} E _inst_7) (AddCommGroup.toAddCommMonoid.{u5} E₂ _inst_8) (AddCommGroup.toAddCommMonoid.{u6} E₃ _inst_9) _inst_12 _inst_13 _inst_14 σ₁₂ σ₂₃ σ₁₃ _inst_20 g f)) (Seminorm.comp.{u1, u2, u4, u5} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 (Seminorm.comp.{u2, u3, u5, u6} 𝕜₂ 𝕜₃ E₂ E₃ _inst_2 _inst_3 σ₂₃ _inst_5 _inst_8 _inst_9 _inst_13 _inst_14 p g) f)
 but is expected to have type
-  forall {𝕜 : Type.{u6}} {𝕜₂ : Type.{u5}} {𝕜₃ : Type.{u4}} {E : Type.{u1}} {E₂ : Type.{u2}} {E₃ : Type.{u3}} [_inst_1 : SeminormedRing.{u6} 𝕜] [_inst_2 : SeminormedRing.{u5} 𝕜₂] [_inst_3 : SeminormedRing.{u4} 𝕜₃] {σ₁₂ : RingHom.{u6, u5} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u6} 𝕜 (Ring.toNonAssocRing.{u6} 𝕜 (SeminormedRing.toRing.{u6} 𝕜 _inst_1))) (NonAssocRing.toNonAssocSemiring.{u5} 𝕜₂ (Ring.toNonAssocRing.{u5} 𝕜₂ (SeminormedRing.toRing.{u5} 𝕜₂ _inst_2)))} [_inst_4 : RingHomIsometric.{u6, u5} 𝕜 𝕜₂ (Ring.toSemiring.{u6} 𝕜 (SeminormedRing.toRing.{u6} 𝕜 _inst_1)) (Ring.toSemiring.{u5} 𝕜₂ (SeminormedRing.toRing.{u5} 𝕜₂ _inst_2)) (SeminormedRing.toNorm.{u6} 𝕜 _inst_1) (SeminormedRing.toNorm.{u5} 𝕜₂ _inst_2) σ₁₂] {σ₂₃ : RingHom.{u5, u4} 𝕜₂ 𝕜₃ (NonAssocRing.toNonAssocSemiring.{u5} 𝕜₂ (Ring.toNonAssocRing.{u5} 𝕜₂ (SeminormedRing.toRing.{u5} 𝕜₂ _inst_2))) (NonAssocRing.toNonAssocSemiring.{u4} 𝕜₃ (Ring.toNonAssocRing.{u4} 𝕜₃ (SeminormedRing.toRing.{u4} 𝕜₃ _inst_3)))} [_inst_5 : RingHomIsometric.{u5, u4} 𝕜₂ 𝕜₃ (Ring.toSemiring.{u5} 𝕜₂ (SeminormedRing.toRing.{u5} 𝕜₂ _inst_2)) (Ring.toSemiring.{u4} 𝕜₃ (SeminormedRing.toRing.{u4} 𝕜₃ _inst_3)) (SeminormedRing.toNorm.{u5} 𝕜₂ _inst_2) (SeminormedRing.toNorm.{u4} 𝕜₃ _inst_3) σ₂₃] {σ₁₃ : RingHom.{u6, u4} 𝕜 𝕜₃ (NonAssocRing.toNonAssocSemiring.{u6} 𝕜 (Ring.toNonAssocRing.{u6} 𝕜 (SeminormedRing.toRing.{u6} 𝕜 _inst_1))) (NonAssocRing.toNonAssocSemiring.{u4} 𝕜₃ (Ring.toNonAssocRing.{u4} 𝕜₃ (SeminormedRing.toRing.{u4} 𝕜₃ _inst_3)))} [_inst_6 : RingHomIsometric.{u6, u4} 𝕜 𝕜₃ (Ring.toSemiring.{u6} 𝕜 (SeminormedRing.toRing.{u6} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₃ (SeminormedRing.toRing.{u4} 𝕜₃ _inst_3)) (SeminormedRing.toNorm.{u6} 𝕜 _inst_1) (SeminormedRing.toNorm.{u4} 𝕜₃ _inst_3) σ₁₃] [_inst_7 : AddCommGroup.{u1} E] [_inst_8 : AddCommGroup.{u2} E₂] [_inst_9 : AddCommGroup.{u3} E₃] [_inst_12 : Module.{u6, u1} 𝕜 E (Ring.toSemiring.{u6} 𝕜 (SeminormedRing.toRing.{u6} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7)] [_inst_13 : Module.{u5, u2} 𝕜₂ E₂ (Ring.toSemiring.{u5} 𝕜₂ (SeminormedRing.toRing.{u5} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E₂ _inst_8)] [_inst_14 : Module.{u4, u3} 𝕜₃ E₃ (Ring.toSemiring.{u4} 𝕜₃ (SeminormedRing.toRing.{u4} 𝕜₃ _inst_3)) (AddCommGroup.toAddCommMonoid.{u3} E₃ _inst_9)] [_inst_20 : RingHomCompTriple.{u6, u5, u4} 𝕜 𝕜₂ 𝕜₃ (Ring.toSemiring.{u6} 𝕜 (SeminormedRing.toRing.{u6} 𝕜 _inst_1)) (Ring.toSemiring.{u5} 𝕜₂ (SeminormedRing.toRing.{u5} 𝕜₂ _inst_2)) (Ring.toSemiring.{u4} 𝕜₃ (SeminormedRing.toRing.{u4} 𝕜₃ _inst_3)) σ₁₂ σ₂₃ σ₁₃] (p : Seminorm.{u4, u3} 𝕜₃ E₃ _inst_3 (AddCommGroup.toAddGroup.{u3} E₃ _inst_9) (SMulZeroClass.toSMul.{u4, u3} 𝕜₃ E₃ (NegZeroClass.toZero.{u3} E₃ (SubNegZeroMonoid.toNegZeroClass.{u3} E₃ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₃ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₃ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₃ _inst_9))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₃ E₃ (MonoidWithZero.toZero.{u4} 𝕜₃ (Semiring.toMonoidWithZero.{u4} 𝕜₃ (Ring.toSemiring.{u4} 𝕜₃ (SeminormedRing.toRing.{u4} 𝕜₃ _inst_3)))) (NegZeroClass.toZero.{u3} E₃ (SubNegZeroMonoid.toNegZeroClass.{u3} E₃ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₃ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₃ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₃ _inst_9))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₃ E₃ (Semiring.toMonoidWithZero.{u4} 𝕜₃ (Ring.toSemiring.{u4} 𝕜₃ (SeminormedRing.toRing.{u4} 𝕜₃ _inst_3))) (NegZeroClass.toZero.{u3} E₃ (SubNegZeroMonoid.toNegZeroClass.{u3} E₃ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₃ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₃ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₃ _inst_9))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₃ E₃ (Ring.toSemiring.{u4} 𝕜₃ (SeminormedRing.toRing.{u4} 𝕜₃ _inst_3)) (AddCommGroup.toAddCommMonoid.{u3} E₃ _inst_9) _inst_14))))) (g : LinearMap.{u5, u4, u2, u3} 𝕜₂ 𝕜₃ (Ring.toSemiring.{u5} 𝕜₂ (SeminormedRing.toRing.{u5} 𝕜₂ _inst_2)) (Ring.toSemiring.{u4} 𝕜₃ (SeminormedRing.toRing.{u4} 𝕜₃ _inst_3)) σ₂₃ E₂ E₃ (AddCommGroup.toAddCommMonoid.{u2} E₂ _inst_8) (AddCommGroup.toAddCommMonoid.{u3} E₃ _inst_9) _inst_13 _inst_14) (f : LinearMap.{u6, u5, u1, u2} 𝕜 𝕜₂ (Ring.toSemiring.{u6} 𝕜 (SeminormedRing.toRing.{u6} 𝕜 _inst_1)) (Ring.toSemiring.{u5} 𝕜₂ (SeminormedRing.toRing.{u5} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) (AddCommGroup.toAddCommMonoid.{u2} E₂ _inst_8) _inst_12 _inst_13), Eq.{succ u1} (Seminorm.{u6, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u6, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u6, u1} 𝕜 E (MonoidWithZero.toZero.{u6} 𝕜 (Semiring.toMonoidWithZero.{u6} 𝕜 (Ring.toSemiring.{u6} 𝕜 (SeminormedRing.toRing.{u6} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u6, u1} 𝕜 E (Semiring.toMonoidWithZero.{u6} 𝕜 (Ring.toSemiring.{u6} 𝕜 (SeminormedRing.toRing.{u6} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u6, u1} 𝕜 E (Ring.toSemiring.{u6} 𝕜 (SeminormedRing.toRing.{u6} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (Seminorm.comp.{u6, u4, u1, u3} 𝕜 𝕜₃ E E₃ _inst_1 _inst_3 σ₁₃ _inst_6 _inst_7 _inst_9 _inst_12 _inst_14 p (LinearMap.comp.{u6, u5, u4, u1, u2, u3} 𝕜 𝕜₂ 𝕜₃ E E₂ E₃ (Ring.toSemiring.{u6} 𝕜 (SeminormedRing.toRing.{u6} 𝕜 _inst_1)) (Ring.toSemiring.{u5} 𝕜₂ (SeminormedRing.toRing.{u5} 𝕜₂ _inst_2)) (Ring.toSemiring.{u4} 𝕜₃ (SeminormedRing.toRing.{u4} 𝕜₃ _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) (AddCommGroup.toAddCommMonoid.{u2} E₂ _inst_8) (AddCommGroup.toAddCommMonoid.{u3} E₃ _inst_9) _inst_12 _inst_13 _inst_14 σ₁₂ σ₂₃ σ₁₃ _inst_20 g f)) (Seminorm.comp.{u6, u5, u1, u2} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 (Seminorm.comp.{u5, u4, u2, u3} 𝕜₂ 𝕜₃ E₂ E₃ _inst_2 _inst_3 σ₂₃ _inst_5 _inst_8 _inst_9 _inst_13 _inst_14 p g) f)
+  forall {𝕜 : Type.{u6}} {𝕜₂ : Type.{u5}} {𝕜₃ : Type.{u4}} {E : Type.{u1}} {E₂ : Type.{u2}} {E₃ : Type.{u3}} [_inst_1 : SeminormedRing.{u6} 𝕜] [_inst_2 : SeminormedRing.{u5} 𝕜₂] [_inst_3 : SeminormedRing.{u4} 𝕜₃] {σ₁₂ : RingHom.{u6, u5} 𝕜 𝕜₂ (Semiring.toNonAssocSemiring.{u6} 𝕜 (Ring.toSemiring.{u6} 𝕜 (SeminormedRing.toRing.{u6} 𝕜 _inst_1))) (Semiring.toNonAssocSemiring.{u5} 𝕜₂ (Ring.toSemiring.{u5} 𝕜₂ (SeminormedRing.toRing.{u5} 𝕜₂ _inst_2)))} [_inst_4 : RingHomIsometric.{u6, u5} 𝕜 𝕜₂ (Ring.toSemiring.{u6} 𝕜 (SeminormedRing.toRing.{u6} 𝕜 _inst_1)) (Ring.toSemiring.{u5} 𝕜₂ (SeminormedRing.toRing.{u5} 𝕜₂ _inst_2)) (SeminormedRing.toNorm.{u6} 𝕜 _inst_1) (SeminormedRing.toNorm.{u5} 𝕜₂ _inst_2) σ₁₂] {σ₂₃ : RingHom.{u5, u4} 𝕜₂ 𝕜₃ (Semiring.toNonAssocSemiring.{u5} 𝕜₂ (Ring.toSemiring.{u5} 𝕜₂ (SeminormedRing.toRing.{u5} 𝕜₂ _inst_2))) (Semiring.toNonAssocSemiring.{u4} 𝕜₃ (Ring.toSemiring.{u4} 𝕜₃ (SeminormedRing.toRing.{u4} 𝕜₃ _inst_3)))} [_inst_5 : RingHomIsometric.{u5, u4} 𝕜₂ 𝕜₃ (Ring.toSemiring.{u5} 𝕜₂ (SeminormedRing.toRing.{u5} 𝕜₂ _inst_2)) (Ring.toSemiring.{u4} 𝕜₃ (SeminormedRing.toRing.{u4} 𝕜₃ _inst_3)) (SeminormedRing.toNorm.{u5} 𝕜₂ _inst_2) (SeminormedRing.toNorm.{u4} 𝕜₃ _inst_3) σ₂₃] {σ₁₃ : RingHom.{u6, u4} 𝕜 𝕜₃ (Semiring.toNonAssocSemiring.{u6} 𝕜 (Ring.toSemiring.{u6} 𝕜 (SeminormedRing.toRing.{u6} 𝕜 _inst_1))) (Semiring.toNonAssocSemiring.{u4} 𝕜₃ (Ring.toSemiring.{u4} 𝕜₃ (SeminormedRing.toRing.{u4} 𝕜₃ _inst_3)))} [_inst_6 : RingHomIsometric.{u6, u4} 𝕜 𝕜₃ (Ring.toSemiring.{u6} 𝕜 (SeminormedRing.toRing.{u6} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₃ (SeminormedRing.toRing.{u4} 𝕜₃ _inst_3)) (SeminormedRing.toNorm.{u6} 𝕜 _inst_1) (SeminormedRing.toNorm.{u4} 𝕜₃ _inst_3) σ₁₃] [_inst_7 : AddCommGroup.{u1} E] [_inst_8 : AddCommGroup.{u2} E₂] [_inst_9 : AddCommGroup.{u3} E₃] [_inst_12 : Module.{u6, u1} 𝕜 E (Ring.toSemiring.{u6} 𝕜 (SeminormedRing.toRing.{u6} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7)] [_inst_13 : Module.{u5, u2} 𝕜₂ E₂ (Ring.toSemiring.{u5} 𝕜₂ (SeminormedRing.toRing.{u5} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E₂ _inst_8)] [_inst_14 : Module.{u4, u3} 𝕜₃ E₃ (Ring.toSemiring.{u4} 𝕜₃ (SeminormedRing.toRing.{u4} 𝕜₃ _inst_3)) (AddCommGroup.toAddCommMonoid.{u3} E₃ _inst_9)] [_inst_20 : RingHomCompTriple.{u6, u5, u4} 𝕜 𝕜₂ 𝕜₃ (Ring.toSemiring.{u6} 𝕜 (SeminormedRing.toRing.{u6} 𝕜 _inst_1)) (Ring.toSemiring.{u5} 𝕜₂ (SeminormedRing.toRing.{u5} 𝕜₂ _inst_2)) (Ring.toSemiring.{u4} 𝕜₃ (SeminormedRing.toRing.{u4} 𝕜₃ _inst_3)) σ₁₂ σ₂₃ σ₁₃] (p : Seminorm.{u4, u3} 𝕜₃ E₃ _inst_3 (AddCommGroup.toAddGroup.{u3} E₃ _inst_9) (SMulZeroClass.toSMul.{u4, u3} 𝕜₃ E₃ (NegZeroClass.toZero.{u3} E₃ (SubNegZeroMonoid.toNegZeroClass.{u3} E₃ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₃ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₃ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₃ _inst_9))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₃ E₃ (MonoidWithZero.toZero.{u4} 𝕜₃ (Semiring.toMonoidWithZero.{u4} 𝕜₃ (Ring.toSemiring.{u4} 𝕜₃ (SeminormedRing.toRing.{u4} 𝕜₃ _inst_3)))) (NegZeroClass.toZero.{u3} E₃ (SubNegZeroMonoid.toNegZeroClass.{u3} E₃ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₃ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₃ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₃ _inst_9))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₃ E₃ (Semiring.toMonoidWithZero.{u4} 𝕜₃ (Ring.toSemiring.{u4} 𝕜₃ (SeminormedRing.toRing.{u4} 𝕜₃ _inst_3))) (NegZeroClass.toZero.{u3} E₃ (SubNegZeroMonoid.toNegZeroClass.{u3} E₃ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₃ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₃ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₃ _inst_9))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₃ E₃ (Ring.toSemiring.{u4} 𝕜₃ (SeminormedRing.toRing.{u4} 𝕜₃ _inst_3)) (AddCommGroup.toAddCommMonoid.{u3} E₃ _inst_9) _inst_14))))) (g : LinearMap.{u5, u4, u2, u3} 𝕜₂ 𝕜₃ (Ring.toSemiring.{u5} 𝕜₂ (SeminormedRing.toRing.{u5} 𝕜₂ _inst_2)) (Ring.toSemiring.{u4} 𝕜₃ (SeminormedRing.toRing.{u4} 𝕜₃ _inst_3)) σ₂₃ E₂ E₃ (AddCommGroup.toAddCommMonoid.{u2} E₂ _inst_8) (AddCommGroup.toAddCommMonoid.{u3} E₃ _inst_9) _inst_13 _inst_14) (f : LinearMap.{u6, u5, u1, u2} 𝕜 𝕜₂ (Ring.toSemiring.{u6} 𝕜 (SeminormedRing.toRing.{u6} 𝕜 _inst_1)) (Ring.toSemiring.{u5} 𝕜₂ (SeminormedRing.toRing.{u5} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) (AddCommGroup.toAddCommMonoid.{u2} E₂ _inst_8) _inst_12 _inst_13), Eq.{succ u1} (Seminorm.{u6, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u6, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u6, u1} 𝕜 E (MonoidWithZero.toZero.{u6} 𝕜 (Semiring.toMonoidWithZero.{u6} 𝕜 (Ring.toSemiring.{u6} 𝕜 (SeminormedRing.toRing.{u6} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u6, u1} 𝕜 E (Semiring.toMonoidWithZero.{u6} 𝕜 (Ring.toSemiring.{u6} 𝕜 (SeminormedRing.toRing.{u6} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u6, u1} 𝕜 E (Ring.toSemiring.{u6} 𝕜 (SeminormedRing.toRing.{u6} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (Seminorm.comp.{u6, u4, u1, u3} 𝕜 𝕜₃ E E₃ _inst_1 _inst_3 σ₁₃ _inst_6 _inst_7 _inst_9 _inst_12 _inst_14 p (LinearMap.comp.{u6, u5, u4, u1, u2, u3} 𝕜 𝕜₂ 𝕜₃ E E₂ E₃ (Ring.toSemiring.{u6} 𝕜 (SeminormedRing.toRing.{u6} 𝕜 _inst_1)) (Ring.toSemiring.{u5} 𝕜₂ (SeminormedRing.toRing.{u5} 𝕜₂ _inst_2)) (Ring.toSemiring.{u4} 𝕜₃ (SeminormedRing.toRing.{u4} 𝕜₃ _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) (AddCommGroup.toAddCommMonoid.{u2} E₂ _inst_8) (AddCommGroup.toAddCommMonoid.{u3} E₃ _inst_9) _inst_12 _inst_13 _inst_14 σ₁₂ σ₂₃ σ₁₃ _inst_20 g f)) (Seminorm.comp.{u6, u5, u1, u2} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 (Seminorm.comp.{u5, u4, u2, u3} 𝕜₂ 𝕜₃ E₂ E₃ _inst_2 _inst_3 σ₂₃ _inst_5 _inst_8 _inst_9 _inst_13 _inst_14 p g) f)
 Case conversion may be inaccurate. Consider using '#align seminorm.comp_comp Seminorm.comp_compₓ'. -/
 theorem comp_comp [RingHomCompTriple σ₁₂ σ₂₃ σ₁₃] (p : Seminorm 𝕜₃ E₃) (g : E₂ →ₛₗ[σ₂₃] E₃)
     (f : E →ₛₗ[σ₁₂] E₂) : p.comp (g.comp f) = (p.comp g).comp f :=
@@ -495,7 +495,7 @@ theorem comp_comp [RingHomCompTriple σ₁₂ σ₂₃ σ₁₃] (p : Seminorm 
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {𝕜₂ : Type.{u2}} {E : Type.{u3}} {E₂ : Type.{u4}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : SeminormedRing.{u2} 𝕜₂] {σ₁₂ : RingHom.{u1, u2} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))} [_inst_4 : RingHomIsometric.{u1, u2} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (SeminormedRing.toHasNorm.{u1} 𝕜 _inst_1) (SeminormedRing.toHasNorm.{u2} 𝕜₂ _inst_2) σ₁₂] [_inst_7 : AddCommGroup.{u3} E] [_inst_8 : AddCommGroup.{u4} E₂] [_inst_12 : Module.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)] [_inst_13 : Module.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)] (p : Seminorm.{u2, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))) (q : Seminorm.{u2, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))) (f : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_12 _inst_13), Eq.{succ u3} (Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))) (Seminorm.comp.{u1, u2, u3, u4} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 (HAdd.hAdd.{u4, u4, u4} (Seminorm.{u2, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))) (Seminorm.{u2, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))) (Seminorm.{u2, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))) (instHAdd.{u4} (Seminorm.{u2, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))) (Seminorm.hasAdd.{u2, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13)))))) p q) f) (HAdd.hAdd.{u3, u3, u3} (Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))) (Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))) (Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))) (instHAdd.{u3} (Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))) (Seminorm.hasAdd.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12)))))) (Seminorm.comp.{u1, u2, u3, u4} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 p f) (Seminorm.comp.{u1, u2, u3, u4} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 q f))
 but is expected to have type
-  forall {𝕜 : Type.{u2}} {𝕜₂ : Type.{u4}} {E : Type.{u1}} {E₂ : Type.{u3}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_2 : SeminormedRing.{u4} 𝕜₂] {σ₁₂ : RingHom.{u2, u4} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NonAssocRing.toNonAssocSemiring.{u4} 𝕜₂ (Ring.toNonAssocRing.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))} [_inst_4 : RingHomIsometric.{u2, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (SeminormedRing.toNorm.{u2} 𝕜 _inst_1) (SeminormedRing.toNorm.{u4} 𝕜₂ _inst_2) σ₁₂] [_inst_7 : AddCommGroup.{u1} E] [_inst_8 : AddCommGroup.{u3} E₂] [_inst_12 : Module.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7)] [_inst_13 : Module.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8)] (p : Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) (q : Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) (f : LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_12 _inst_13), Eq.{succ u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (Seminorm.comp.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 (HAdd.hAdd.{u3, u3, u3} (Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) (Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) (Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) (instHAdd.{u3} (Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) (Seminorm.instAdd.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13)))))) p q) f) (HAdd.hAdd.{u1, u1, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (instHAdd.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (Seminorm.instAdd.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12)))))) (Seminorm.comp.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 p f) (Seminorm.comp.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 q f))
+  forall {𝕜 : Type.{u2}} {𝕜₂ : Type.{u4}} {E : Type.{u1}} {E₂ : Type.{u3}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_2 : SeminormedRing.{u4} 𝕜₂] {σ₁₂ : RingHom.{u2, u4} 𝕜 𝕜₂ (Semiring.toNonAssocSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (Semiring.toNonAssocSemiring.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))} [_inst_4 : RingHomIsometric.{u2, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (SeminormedRing.toNorm.{u2} 𝕜 _inst_1) (SeminormedRing.toNorm.{u4} 𝕜₂ _inst_2) σ₁₂] [_inst_7 : AddCommGroup.{u1} E] [_inst_8 : AddCommGroup.{u3} E₂] [_inst_12 : Module.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7)] [_inst_13 : Module.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8)] (p : Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) (q : Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) (f : LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_12 _inst_13), Eq.{succ u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (Seminorm.comp.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 (HAdd.hAdd.{u3, u3, u3} (Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) (Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) (Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) (instHAdd.{u3} (Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) (Seminorm.instAdd.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13)))))) p q) f) (HAdd.hAdd.{u1, u1, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (instHAdd.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (Seminorm.instAdd.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12)))))) (Seminorm.comp.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 p f) (Seminorm.comp.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 q f))
 Case conversion may be inaccurate. Consider using '#align seminorm.add_comp Seminorm.add_compₓ'. -/
 theorem add_comp (p q : Seminorm 𝕜₂ E₂) (f : E →ₛₗ[σ₁₂] E₂) :
     (p + q).comp f = p.comp f + q.comp f :=
@@ -506,7 +506,7 @@ theorem add_comp (p q : Seminorm 𝕜₂ E₂) (f : E →ₛₗ[σ₁₂] E₂)
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {𝕜₂ : Type.{u2}} {E : Type.{u3}} {E₂ : Type.{u4}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : SeminormedRing.{u2} 𝕜₂] {σ₁₂ : RingHom.{u1, u2} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))} [_inst_4 : RingHomIsometric.{u1, u2} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (SeminormedRing.toHasNorm.{u1} 𝕜 _inst_1) (SeminormedRing.toHasNorm.{u2} 𝕜₂ _inst_2) σ₁₂] [_inst_7 : AddCommGroup.{u3} E] [_inst_8 : AddCommGroup.{u4} E₂] [_inst_12 : Module.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)] [_inst_13 : Module.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)] (p : Seminorm.{u2, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))) (f : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_12 _inst_13) (g : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_12 _inst_13), LE.le.{u3} (Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))) (Preorder.toLE.{u3} (Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))) (PartialOrder.toPreorder.{u3} (Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))) (Seminorm.partialOrder.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))))) (Seminorm.comp.{u1, u2, u3, u4} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 p (HAdd.hAdd.{max u3 u4, max u3 u4, max u3 u4} (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_12 _inst_13) (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_12 _inst_13) (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_12 _inst_13) (instHAdd.{max u3 u4} (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_12 _inst_13) (LinearMap.hasAdd.{u1, u2, u3, u4} 𝕜 𝕜₂ E E₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_12 _inst_13 σ₁₂)) f g)) (HAdd.hAdd.{u3, u3, u3} (Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))) (Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))) (Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))) (instHAdd.{u3} (Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))) (Seminorm.hasAdd.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12)))))) (Seminorm.comp.{u1, u2, u3, u4} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 p f) (Seminorm.comp.{u1, u2, u3, u4} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 p g))
 but is expected to have type
-  forall {𝕜 : Type.{u2}} {𝕜₂ : Type.{u4}} {E : Type.{u1}} {E₂ : Type.{u3}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_2 : SeminormedRing.{u4} 𝕜₂] {σ₁₂ : RingHom.{u2, u4} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NonAssocRing.toNonAssocSemiring.{u4} 𝕜₂ (Ring.toNonAssocRing.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))} [_inst_4 : RingHomIsometric.{u2, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (SeminormedRing.toNorm.{u2} 𝕜 _inst_1) (SeminormedRing.toNorm.{u4} 𝕜₂ _inst_2) σ₁₂] [_inst_7 : AddCommGroup.{u1} E] [_inst_8 : AddCommGroup.{u3} E₂] [_inst_12 : Module.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7)] [_inst_13 : Module.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8)] (p : Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) (f : LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_12 _inst_13) (g : LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_12 _inst_13), LE.le.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (Preorder.toLE.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (PartialOrder.toPreorder.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (Seminorm.instPartialOrder.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))))) (Seminorm.comp.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 p (HAdd.hAdd.{max u1 u3, max u1 u3, max u1 u3} (LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_12 _inst_13) (LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_12 _inst_13) (LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_12 _inst_13) (instHAdd.{max u1 u3} (LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_12 _inst_13) (LinearMap.instAddLinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_12 _inst_13 σ₁₂)) f g)) (HAdd.hAdd.{u1, u1, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (instHAdd.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (Seminorm.instAdd.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12)))))) (Seminorm.comp.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 p f) (Seminorm.comp.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 p g))
+  forall {𝕜 : Type.{u2}} {𝕜₂ : Type.{u4}} {E : Type.{u1}} {E₂ : Type.{u3}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_2 : SeminormedRing.{u4} 𝕜₂] {σ₁₂ : RingHom.{u2, u4} 𝕜 𝕜₂ (Semiring.toNonAssocSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (Semiring.toNonAssocSemiring.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))} [_inst_4 : RingHomIsometric.{u2, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (SeminormedRing.toNorm.{u2} 𝕜 _inst_1) (SeminormedRing.toNorm.{u4} 𝕜₂ _inst_2) σ₁₂] [_inst_7 : AddCommGroup.{u1} E] [_inst_8 : AddCommGroup.{u3} E₂] [_inst_12 : Module.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7)] [_inst_13 : Module.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8)] (p : Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) (f : LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_12 _inst_13) (g : LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_12 _inst_13), LE.le.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (Preorder.toLE.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (PartialOrder.toPreorder.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (Seminorm.instPartialOrder.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))))) (Seminorm.comp.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 p (HAdd.hAdd.{max u1 u3, max u1 u3, max u1 u3} (LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_12 _inst_13) (LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_12 _inst_13) (LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_12 _inst_13) (instHAdd.{max u1 u3} (LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_12 _inst_13) (LinearMap.instAddLinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_12 _inst_13 σ₁₂)) f g)) (HAdd.hAdd.{u1, u1, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (instHAdd.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (Seminorm.instAdd.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12)))))) (Seminorm.comp.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 p f) (Seminorm.comp.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 p g))
 Case conversion may be inaccurate. Consider using '#align seminorm.comp_add_le Seminorm.comp_add_leₓ'. -/
 theorem comp_add_le (p : Seminorm 𝕜₂ E₂) (f g : E →ₛₗ[σ₁₂] E₂) :
     p.comp (f + g) ≤ p.comp f + p.comp g := fun _ => map_add_le_add p _ _
@@ -516,7 +516,7 @@ theorem comp_add_le (p : Seminorm 𝕜₂ E₂) (f g : E →ₛₗ[σ₁₂] E
 lean 3 declaration is
   forall {R : Type.{u1}} {𝕜 : Type.{u2}} {𝕜₂ : Type.{u3}} {E : Type.{u4}} {E₂ : Type.{u5}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_2 : SeminormedRing.{u3} 𝕜₂] {σ₁₂ : RingHom.{u2, u3} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NonAssocRing.toNonAssocSemiring.{u3} 𝕜₂ (Ring.toNonAssocRing.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2)))} [_inst_4 : RingHomIsometric.{u2, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2)) (SeminormedRing.toHasNorm.{u2} 𝕜 _inst_1) (SeminormedRing.toHasNorm.{u3} 𝕜₂ _inst_2) σ₁₂] [_inst_7 : AddCommGroup.{u4} E] [_inst_8 : AddCommGroup.{u5} E₂] [_inst_12 : Module.{u2, u4} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} E _inst_7)] [_inst_13 : Module.{u3, u5} 𝕜₂ E₂ (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u5} E₂ _inst_8)] [_inst_17 : SMul.{u1, 0} R Real] [_inst_18 : SMul.{u1, 0} R NNReal] [_inst_19 : IsScalarTower.{u1, 0, 0} R NNReal Real _inst_18 (SMulZeroClass.toHasSmul.{0, 0} NNReal Real (AddZeroClass.toHasZero.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real Real.addCommMonoid))) (SMulWithZero.toSmulZeroClass.{0, 0} NNReal Real (MulZeroClass.toHasZero.{0} NNReal (MulZeroOneClass.toMulZeroClass.{0} NNReal (MonoidWithZero.toMulZeroOneClass.{0} NNReal (Semiring.toMonoidWithZero.{0} NNReal NNReal.semiring)))) (AddZeroClass.toHasZero.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real Real.addCommMonoid))) (MulActionWithZero.toSMulWithZero.{0, 0} NNReal Real (Semiring.toMonoidWithZero.{0} NNReal NNReal.semiring) (AddZeroClass.toHasZero.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real Real.addCommMonoid))) (Module.toMulActionWithZero.{0, 0} NNReal Real NNReal.semiring Real.addCommMonoid (NNReal.module.{0} Real Real.addCommMonoid Real.module))))) _inst_17] (p : Seminorm.{u3, u5} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u5} E₂ _inst_8) (SMulZeroClass.toHasSmul.{u3, u5} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u5} E₂ (AddMonoid.toAddZeroClass.{u5} E₂ (AddCommMonoid.toAddMonoid.{u5} E₂ (AddCommGroup.toAddCommMonoid.{u5} E₂ _inst_8)))) (SMulWithZero.toSmulZeroClass.{u3, u5} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u3} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u3} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u3} 𝕜₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u5} E₂ (AddMonoid.toAddZeroClass.{u5} E₂ (AddCommMonoid.toAddMonoid.{u5} E₂ (AddCommGroup.toAddCommMonoid.{u5} E₂ _inst_8)))) (MulActionWithZero.toSMulWithZero.{u3, u5} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u5} E₂ (AddMonoid.toAddZeroClass.{u5} E₂ (AddCommMonoid.toAddMonoid.{u5} E₂ (AddCommGroup.toAddCommMonoid.{u5} E₂ _inst_8)))) (Module.toMulActionWithZero.{u3, u5} 𝕜₂ E₂ (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u5} E₂ _inst_8) _inst_13))))) (f : LinearMap.{u2, u3, u4, u5} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u4} E _inst_7) (AddCommGroup.toAddCommMonoid.{u5} E₂ _inst_8) _inst_12 _inst_13) (c : R), Eq.{succ u4} (Seminorm.{u2, u4} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u4} E _inst_7) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜 E (AddZeroClass.toHasZero.{u4} E (AddMonoid.toAddZeroClass.{u4} E (AddCommMonoid.toAddMonoid.{u4} E (AddCommGroup.toAddCommMonoid.{u4} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜 E (MulZeroClass.toHasZero.{u2} 𝕜 (MulZeroOneClass.toMulZeroClass.{u2} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u4} E (AddMonoid.toAddZeroClass.{u4} E (AddCommMonoid.toAddMonoid.{u4} E (AddCommGroup.toAddCommMonoid.{u4} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u4} E (AddMonoid.toAddZeroClass.{u4} E (AddCommMonoid.toAddMonoid.{u4} E (AddCommGroup.toAddCommMonoid.{u4} E _inst_7)))) (Module.toMulActionWithZero.{u2, u4} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} E _inst_7) _inst_12))))) (Seminorm.comp.{u2, u3, u4, u5} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 (SMul.smul.{u1, u5} R (Seminorm.{u3, u5} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u5} E₂ _inst_8) (SMulZeroClass.toHasSmul.{u3, u5} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u5} E₂ (AddMonoid.toAddZeroClass.{u5} E₂ (AddCommMonoid.toAddMonoid.{u5} E₂ (AddCommGroup.toAddCommMonoid.{u5} E₂ _inst_8)))) (SMulWithZero.toSmulZeroClass.{u3, u5} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u3} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u3} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u3} 𝕜₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u5} E₂ (AddMonoid.toAddZeroClass.{u5} E₂ (AddCommMonoid.toAddMonoid.{u5} E₂ (AddCommGroup.toAddCommMonoid.{u5} E₂ _inst_8)))) (MulActionWithZero.toSMulWithZero.{u3, u5} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u5} E₂ (AddMonoid.toAddZeroClass.{u5} E₂ (AddCommMonoid.toAddMonoid.{u5} E₂ (AddCommGroup.toAddCommMonoid.{u5} E₂ _inst_8)))) (Module.toMulActionWithZero.{u3, u5} 𝕜₂ E₂ (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u5} E₂ _inst_8) _inst_13))))) (Seminorm.hasSmul.{u1, u3, u5} R 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u5} E₂ _inst_8) (SMulZeroClass.toHasSmul.{u3, u5} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u5} E₂ (AddMonoid.toAddZeroClass.{u5} E₂ (AddCommMonoid.toAddMonoid.{u5} E₂ (AddCommGroup.toAddCommMonoid.{u5} E₂ _inst_8)))) (SMulWithZero.toSmulZeroClass.{u3, u5} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u3} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u3} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u3} 𝕜₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u5} E₂ (AddMonoid.toAddZeroClass.{u5} E₂ (AddCommMonoid.toAddMonoid.{u5} E₂ (AddCommGroup.toAddCommMonoid.{u5} E₂ _inst_8)))) (MulActionWithZero.toSMulWithZero.{u3, u5} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u5} E₂ (AddMonoid.toAddZeroClass.{u5} E₂ (AddCommMonoid.toAddMonoid.{u5} E₂ (AddCommGroup.toAddCommMonoid.{u5} E₂ _inst_8)))) (Module.toMulActionWithZero.{u3, u5} 𝕜₂ E₂ (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u5} E₂ _inst_8) _inst_13)))) _inst_17 _inst_18 _inst_19) c p) f) (SMul.smul.{u1, u4} R (Seminorm.{u2, u4} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u4} E _inst_7) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜 E (AddZeroClass.toHasZero.{u4} E (AddMonoid.toAddZeroClass.{u4} E (AddCommMonoid.toAddMonoid.{u4} E (AddCommGroup.toAddCommMonoid.{u4} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜 E (MulZeroClass.toHasZero.{u2} 𝕜 (MulZeroOneClass.toMulZeroClass.{u2} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u4} E (AddMonoid.toAddZeroClass.{u4} E (AddCommMonoid.toAddMonoid.{u4} E (AddCommGroup.toAddCommMonoid.{u4} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u4} E (AddMonoid.toAddZeroClass.{u4} E (AddCommMonoid.toAddMonoid.{u4} E (AddCommGroup.toAddCommMonoid.{u4} E _inst_7)))) (Module.toMulActionWithZero.{u2, u4} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} E _inst_7) _inst_12))))) (Seminorm.hasSmul.{u1, u2, u4} R 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u4} E _inst_7) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜 E (AddZeroClass.toHasZero.{u4} E (AddMonoid.toAddZeroClass.{u4} E (AddCommMonoid.toAddMonoid.{u4} E (AddCommGroup.toAddCommMonoid.{u4} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜 E (MulZeroClass.toHasZero.{u2} 𝕜 (MulZeroOneClass.toMulZeroClass.{u2} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u4} E (AddMonoid.toAddZeroClass.{u4} E (AddCommMonoid.toAddMonoid.{u4} E (AddCommGroup.toAddCommMonoid.{u4} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u4} E (AddMonoid.toAddZeroClass.{u4} E (AddCommMonoid.toAddMonoid.{u4} E (AddCommGroup.toAddCommMonoid.{u4} E _inst_7)))) (Module.toMulActionWithZero.{u2, u4} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} E _inst_7) _inst_12)))) _inst_17 _inst_18 _inst_19) c (Seminorm.comp.{u2, u3, u4, u5} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 p f))
 but is expected to have type
-  forall {R : Type.{u1}} {𝕜 : Type.{u3}} {𝕜₂ : Type.{u5}} {E : Type.{u2}} {E₂ : Type.{u4}} [_inst_1 : SeminormedRing.{u3} 𝕜] [_inst_2 : SeminormedRing.{u5} 𝕜₂] {σ₁₂ : RingHom.{u3, u5} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NonAssocRing.toNonAssocSemiring.{u5} 𝕜₂ (Ring.toNonAssocRing.{u5} 𝕜₂ (SeminormedRing.toRing.{u5} 𝕜₂ _inst_2)))} [_inst_4 : RingHomIsometric.{u3, u5} 𝕜 𝕜₂ (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (Ring.toSemiring.{u5} 𝕜₂ (SeminormedRing.toRing.{u5} 𝕜₂ _inst_2)) (SeminormedRing.toNorm.{u3} 𝕜 _inst_1) (SeminormedRing.toNorm.{u5} 𝕜₂ _inst_2) σ₁₂] [_inst_7 : AddCommGroup.{u2} E] [_inst_8 : AddCommGroup.{u4} E₂] [_inst_12 : Module.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)] [_inst_13 : Module.{u5, u4} 𝕜₂ E₂ (Ring.toSemiring.{u5} 𝕜₂ (SeminormedRing.toRing.{u5} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)] [_inst_17 : SMul.{u1, 0} R Real] [_inst_18 : SMul.{u1, 0} R NNReal] [_inst_19 : IsScalarTower.{u1, 0, 0} R NNReal Real _inst_18 Seminorm.smul_nnreal_real _inst_17] (p : Seminorm.{u5, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toSMul.{u5, u4} 𝕜₂ E₂ (NegZeroClass.toZero.{u4} E₂ (SubNegZeroMonoid.toNegZeroClass.{u4} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u4} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u4} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u4} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u5, u4} 𝕜₂ E₂ (MonoidWithZero.toZero.{u5} 𝕜₂ (Semiring.toMonoidWithZero.{u5} 𝕜₂ (Ring.toSemiring.{u5} 𝕜₂ (SeminormedRing.toRing.{u5} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u4} E₂ (SubNegZeroMonoid.toNegZeroClass.{u4} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u4} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u4} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u4} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u5, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u5} 𝕜₂ (Ring.toSemiring.{u5} 𝕜₂ (SeminormedRing.toRing.{u5} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u4} E₂ (SubNegZeroMonoid.toNegZeroClass.{u4} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u4} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u4} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u4} E₂ _inst_8))))) (Module.toMulActionWithZero.{u5, u4} 𝕜₂ E₂ (Ring.toSemiring.{u5} 𝕜₂ (SeminormedRing.toRing.{u5} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))) (f : LinearMap.{u3, u5, u2, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (Ring.toSemiring.{u5} 𝕜₂ (SeminormedRing.toRing.{u5} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_12 _inst_13) (c : R), Eq.{succ u2} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Seminorm.comp.{u3, u5, u2, u4} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 (HSMul.hSMul.{u1, u4, u4} R (Seminorm.{u5, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toSMul.{u5, u4} 𝕜₂ E₂ (NegZeroClass.toZero.{u4} E₂ (SubNegZeroMonoid.toNegZeroClass.{u4} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u4} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u4} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u4} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u5, u4} 𝕜₂ E₂ (MonoidWithZero.toZero.{u5} 𝕜₂ (Semiring.toMonoidWithZero.{u5} 𝕜₂ (Ring.toSemiring.{u5} 𝕜₂ (SeminormedRing.toRing.{u5} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u4} E₂ (SubNegZeroMonoid.toNegZeroClass.{u4} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u4} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u4} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u4} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u5, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u5} 𝕜₂ (Ring.toSemiring.{u5} 𝕜₂ (SeminormedRing.toRing.{u5} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u4} E₂ (SubNegZeroMonoid.toNegZeroClass.{u4} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u4} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u4} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u4} E₂ _inst_8))))) (Module.toMulActionWithZero.{u5, u4} 𝕜₂ E₂ (Ring.toSemiring.{u5} 𝕜₂ (SeminormedRing.toRing.{u5} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))) (Seminorm.{u5, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toSMul.{u5, u4} 𝕜₂ E₂ (NegZeroClass.toZero.{u4} E₂ (SubNegZeroMonoid.toNegZeroClass.{u4} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u4} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u4} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u4} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u5, u4} 𝕜₂ E₂ (MonoidWithZero.toZero.{u5} 𝕜₂ (Semiring.toMonoidWithZero.{u5} 𝕜₂ (Ring.toSemiring.{u5} 𝕜₂ (SeminormedRing.toRing.{u5} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u4} E₂ (SubNegZeroMonoid.toNegZeroClass.{u4} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u4} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u4} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u4} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u5, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u5} 𝕜₂ (Ring.toSemiring.{u5} 𝕜₂ (SeminormedRing.toRing.{u5} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u4} E₂ (SubNegZeroMonoid.toNegZeroClass.{u4} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u4} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u4} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u4} E₂ _inst_8))))) (Module.toMulActionWithZero.{u5, u4} 𝕜₂ E₂ (Ring.toSemiring.{u5} 𝕜₂ (SeminormedRing.toRing.{u5} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))) (instHSMul.{u1, u4} R (Seminorm.{u5, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toSMul.{u5, u4} 𝕜₂ E₂ (NegZeroClass.toZero.{u4} E₂ (SubNegZeroMonoid.toNegZeroClass.{u4} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u4} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u4} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u4} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u5, u4} 𝕜₂ E₂ (MonoidWithZero.toZero.{u5} 𝕜₂ (Semiring.toMonoidWithZero.{u5} 𝕜₂ (Ring.toSemiring.{u5} 𝕜₂ (SeminormedRing.toRing.{u5} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u4} E₂ (SubNegZeroMonoid.toNegZeroClass.{u4} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u4} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u4} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u4} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u5, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u5} 𝕜₂ (Ring.toSemiring.{u5} 𝕜₂ (SeminormedRing.toRing.{u5} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u4} E₂ (SubNegZeroMonoid.toNegZeroClass.{u4} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u4} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u4} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u4} E₂ _inst_8))))) (Module.toMulActionWithZero.{u5, u4} 𝕜₂ E₂ (Ring.toSemiring.{u5} 𝕜₂ (SeminormedRing.toRing.{u5} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))) (Seminorm.instSMul.{u1, u5, u4} R 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toSMul.{u5, u4} 𝕜₂ E₂ (NegZeroClass.toZero.{u4} E₂ (SubNegZeroMonoid.toNegZeroClass.{u4} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u4} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u4} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u4} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u5, u4} 𝕜₂ E₂ (MonoidWithZero.toZero.{u5} 𝕜₂ (Semiring.toMonoidWithZero.{u5} 𝕜₂ (Ring.toSemiring.{u5} 𝕜₂ (SeminormedRing.toRing.{u5} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u4} E₂ (SubNegZeroMonoid.toNegZeroClass.{u4} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u4} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u4} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u4} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u5, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u5} 𝕜₂ (Ring.toSemiring.{u5} 𝕜₂ (SeminormedRing.toRing.{u5} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u4} E₂ (SubNegZeroMonoid.toNegZeroClass.{u4} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u4} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u4} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u4} E₂ _inst_8))))) (Module.toMulActionWithZero.{u5, u4} 𝕜₂ E₂ (Ring.toSemiring.{u5} 𝕜₂ (SeminormedRing.toRing.{u5} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13)))) _inst_17 _inst_18 _inst_19)) c p) f) (HSMul.hSMul.{u1, u2, u2} R (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (instHSMul.{u1, u2} R (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Seminorm.instSMul.{u1, u3, u2} R 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))) _inst_17 _inst_18 _inst_19)) c (Seminorm.comp.{u3, u5, u2, u4} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 p f))
+  forall {R : Type.{u1}} {𝕜 : Type.{u3}} {𝕜₂ : Type.{u5}} {E : Type.{u2}} {E₂ : Type.{u4}} [_inst_1 : SeminormedRing.{u3} 𝕜] [_inst_2 : SeminormedRing.{u5} 𝕜₂] {σ₁₂ : RingHom.{u3, u5} 𝕜 𝕜₂ (Semiring.toNonAssocSemiring.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (Semiring.toNonAssocSemiring.{u5} 𝕜₂ (Ring.toSemiring.{u5} 𝕜₂ (SeminormedRing.toRing.{u5} 𝕜₂ _inst_2)))} [_inst_4 : RingHomIsometric.{u3, u5} 𝕜 𝕜₂ (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (Ring.toSemiring.{u5} 𝕜₂ (SeminormedRing.toRing.{u5} 𝕜₂ _inst_2)) (SeminormedRing.toNorm.{u3} 𝕜 _inst_1) (SeminormedRing.toNorm.{u5} 𝕜₂ _inst_2) σ₁₂] [_inst_7 : AddCommGroup.{u2} E] [_inst_8 : AddCommGroup.{u4} E₂] [_inst_12 : Module.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)] [_inst_13 : Module.{u5, u4} 𝕜₂ E₂ (Ring.toSemiring.{u5} 𝕜₂ (SeminormedRing.toRing.{u5} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)] [_inst_17 : SMul.{u1, 0} R Real] [_inst_18 : SMul.{u1, 0} R NNReal] [_inst_19 : IsScalarTower.{u1, 0, 0} R NNReal Real _inst_18 Seminorm.smul_nnreal_real _inst_17] (p : Seminorm.{u5, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toSMul.{u5, u4} 𝕜₂ E₂ (NegZeroClass.toZero.{u4} E₂ (SubNegZeroMonoid.toNegZeroClass.{u4} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u4} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u4} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u4} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u5, u4} 𝕜₂ E₂ (MonoidWithZero.toZero.{u5} 𝕜₂ (Semiring.toMonoidWithZero.{u5} 𝕜₂ (Ring.toSemiring.{u5} 𝕜₂ (SeminormedRing.toRing.{u5} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u4} E₂ (SubNegZeroMonoid.toNegZeroClass.{u4} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u4} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u4} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u4} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u5, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u5} 𝕜₂ (Ring.toSemiring.{u5} 𝕜₂ (SeminormedRing.toRing.{u5} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u4} E₂ (SubNegZeroMonoid.toNegZeroClass.{u4} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u4} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u4} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u4} E₂ _inst_8))))) (Module.toMulActionWithZero.{u5, u4} 𝕜₂ E₂ (Ring.toSemiring.{u5} 𝕜₂ (SeminormedRing.toRing.{u5} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))) (f : LinearMap.{u3, u5, u2, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (Ring.toSemiring.{u5} 𝕜₂ (SeminormedRing.toRing.{u5} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_12 _inst_13) (c : R), Eq.{succ u2} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Seminorm.comp.{u3, u5, u2, u4} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 (HSMul.hSMul.{u1, u4, u4} R (Seminorm.{u5, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toSMul.{u5, u4} 𝕜₂ E₂ (NegZeroClass.toZero.{u4} E₂ (SubNegZeroMonoid.toNegZeroClass.{u4} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u4} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u4} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u4} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u5, u4} 𝕜₂ E₂ (MonoidWithZero.toZero.{u5} 𝕜₂ (Semiring.toMonoidWithZero.{u5} 𝕜₂ (Ring.toSemiring.{u5} 𝕜₂ (SeminormedRing.toRing.{u5} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u4} E₂ (SubNegZeroMonoid.toNegZeroClass.{u4} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u4} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u4} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u4} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u5, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u5} 𝕜₂ (Ring.toSemiring.{u5} 𝕜₂ (SeminormedRing.toRing.{u5} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u4} E₂ (SubNegZeroMonoid.toNegZeroClass.{u4} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u4} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u4} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u4} E₂ _inst_8))))) (Module.toMulActionWithZero.{u5, u4} 𝕜₂ E₂ (Ring.toSemiring.{u5} 𝕜₂ (SeminormedRing.toRing.{u5} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))) (Seminorm.{u5, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toSMul.{u5, u4} 𝕜₂ E₂ (NegZeroClass.toZero.{u4} E₂ (SubNegZeroMonoid.toNegZeroClass.{u4} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u4} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u4} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u4} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u5, u4} 𝕜₂ E₂ (MonoidWithZero.toZero.{u5} 𝕜₂ (Semiring.toMonoidWithZero.{u5} 𝕜₂ (Ring.toSemiring.{u5} 𝕜₂ (SeminormedRing.toRing.{u5} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u4} E₂ (SubNegZeroMonoid.toNegZeroClass.{u4} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u4} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u4} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u4} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u5, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u5} 𝕜₂ (Ring.toSemiring.{u5} 𝕜₂ (SeminormedRing.toRing.{u5} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u4} E₂ (SubNegZeroMonoid.toNegZeroClass.{u4} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u4} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u4} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u4} E₂ _inst_8))))) (Module.toMulActionWithZero.{u5, u4} 𝕜₂ E₂ (Ring.toSemiring.{u5} 𝕜₂ (SeminormedRing.toRing.{u5} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))) (instHSMul.{u1, u4} R (Seminorm.{u5, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toSMul.{u5, u4} 𝕜₂ E₂ (NegZeroClass.toZero.{u4} E₂ (SubNegZeroMonoid.toNegZeroClass.{u4} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u4} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u4} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u4} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u5, u4} 𝕜₂ E₂ (MonoidWithZero.toZero.{u5} 𝕜₂ (Semiring.toMonoidWithZero.{u5} 𝕜₂ (Ring.toSemiring.{u5} 𝕜₂ (SeminormedRing.toRing.{u5} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u4} E₂ (SubNegZeroMonoid.toNegZeroClass.{u4} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u4} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u4} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u4} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u5, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u5} 𝕜₂ (Ring.toSemiring.{u5} 𝕜₂ (SeminormedRing.toRing.{u5} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u4} E₂ (SubNegZeroMonoid.toNegZeroClass.{u4} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u4} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u4} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u4} E₂ _inst_8))))) (Module.toMulActionWithZero.{u5, u4} 𝕜₂ E₂ (Ring.toSemiring.{u5} 𝕜₂ (SeminormedRing.toRing.{u5} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))) (Seminorm.instSMul.{u1, u5, u4} R 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toSMul.{u5, u4} 𝕜₂ E₂ (NegZeroClass.toZero.{u4} E₂ (SubNegZeroMonoid.toNegZeroClass.{u4} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u4} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u4} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u4} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u5, u4} 𝕜₂ E₂ (MonoidWithZero.toZero.{u5} 𝕜₂ (Semiring.toMonoidWithZero.{u5} 𝕜₂ (Ring.toSemiring.{u5} 𝕜₂ (SeminormedRing.toRing.{u5} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u4} E₂ (SubNegZeroMonoid.toNegZeroClass.{u4} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u4} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u4} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u4} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u5, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u5} 𝕜₂ (Ring.toSemiring.{u5} 𝕜₂ (SeminormedRing.toRing.{u5} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u4} E₂ (SubNegZeroMonoid.toNegZeroClass.{u4} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u4} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u4} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u4} E₂ _inst_8))))) (Module.toMulActionWithZero.{u5, u4} 𝕜₂ E₂ (Ring.toSemiring.{u5} 𝕜₂ (SeminormedRing.toRing.{u5} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13)))) _inst_17 _inst_18 _inst_19)) c p) f) (HSMul.hSMul.{u1, u2, u2} R (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (instHSMul.{u1, u2} R (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Seminorm.instSMul.{u1, u3, u2} R 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))) _inst_17 _inst_18 _inst_19)) c (Seminorm.comp.{u3, u5, u2, u4} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 p f))
 Case conversion may be inaccurate. Consider using '#align seminorm.smul_comp Seminorm.smul_compₓ'. -/
 theorem smul_comp (p : Seminorm 𝕜₂ E₂) (f : E →ₛₗ[σ₁₂] E₂) (c : R) :
     (c • p).comp f = c • p.comp f :=
@@ -527,7 +527,7 @@ theorem smul_comp (p : Seminorm 𝕜₂ E₂) (f : E →ₛₗ[σ₁₂] E₂) (
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {𝕜₂ : Type.{u2}} {E : Type.{u3}} {E₂ : Type.{u4}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : SeminormedRing.{u2} 𝕜₂] {σ₁₂ : RingHom.{u1, u2} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))} [_inst_4 : RingHomIsometric.{u1, u2} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (SeminormedRing.toHasNorm.{u1} 𝕜 _inst_1) (SeminormedRing.toHasNorm.{u2} 𝕜₂ _inst_2) σ₁₂] [_inst_7 : AddCommGroup.{u3} E] [_inst_8 : AddCommGroup.{u4} E₂] [_inst_12 : Module.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)] [_inst_13 : Module.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)] {p : Seminorm.{u2, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))} {q : Seminorm.{u2, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))} (f : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_12 _inst_13), (LE.le.{u4} (Seminorm.{u2, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))) (Preorder.toLE.{u4} (Seminorm.{u2, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))) (PartialOrder.toPreorder.{u4} (Seminorm.{u2, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))) (Seminorm.partialOrder.{u2, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))))) p q) -> (LE.le.{u3} (Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))) (Preorder.toLE.{u3} (Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))) (PartialOrder.toPreorder.{u3} (Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))) (Seminorm.partialOrder.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))))) (Seminorm.comp.{u1, u2, u3, u4} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 p f) (Seminorm.comp.{u1, u2, u3, u4} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 q f))
 but is expected to have type
-  forall {𝕜 : Type.{u2}} {𝕜₂ : Type.{u4}} {E : Type.{u1}} {E₂ : Type.{u3}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_2 : SeminormedRing.{u4} 𝕜₂] {σ₁₂ : RingHom.{u2, u4} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NonAssocRing.toNonAssocSemiring.{u4} 𝕜₂ (Ring.toNonAssocRing.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))} [_inst_4 : RingHomIsometric.{u2, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (SeminormedRing.toNorm.{u2} 𝕜 _inst_1) (SeminormedRing.toNorm.{u4} 𝕜₂ _inst_2) σ₁₂] [_inst_7 : AddCommGroup.{u1} E] [_inst_8 : AddCommGroup.{u3} E₂] [_inst_12 : Module.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7)] [_inst_13 : Module.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8)] {p : Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))} {q : Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))} (f : LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_12 _inst_13), (LE.le.{u3} (Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) (Preorder.toLE.{u3} (Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) (PartialOrder.toPreorder.{u3} (Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) (Seminorm.instPartialOrder.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))))) p q) -> (LE.le.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (Preorder.toLE.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (PartialOrder.toPreorder.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (Seminorm.instPartialOrder.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))))) (Seminorm.comp.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 p f) (Seminorm.comp.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 q f))
+  forall {𝕜 : Type.{u2}} {𝕜₂ : Type.{u4}} {E : Type.{u1}} {E₂ : Type.{u3}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_2 : SeminormedRing.{u4} 𝕜₂] {σ₁₂ : RingHom.{u2, u4} 𝕜 𝕜₂ (Semiring.toNonAssocSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (Semiring.toNonAssocSemiring.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))} [_inst_4 : RingHomIsometric.{u2, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (SeminormedRing.toNorm.{u2} 𝕜 _inst_1) (SeminormedRing.toNorm.{u4} 𝕜₂ _inst_2) σ₁₂] [_inst_7 : AddCommGroup.{u1} E] [_inst_8 : AddCommGroup.{u3} E₂] [_inst_12 : Module.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7)] [_inst_13 : Module.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8)] {p : Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))} {q : Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))} (f : LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_12 _inst_13), (LE.le.{u3} (Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) (Preorder.toLE.{u3} (Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) (PartialOrder.toPreorder.{u3} (Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) (Seminorm.instPartialOrder.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))))) p q) -> (LE.le.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (Preorder.toLE.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (PartialOrder.toPreorder.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (Seminorm.instPartialOrder.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))))) (Seminorm.comp.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 p f) (Seminorm.comp.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 q f))
 Case conversion may be inaccurate. Consider using '#align seminorm.comp_mono Seminorm.comp_monoₓ'. -/
 theorem comp_mono {p q : Seminorm 𝕜₂ E₂} (f : E →ₛₗ[σ₁₂] E₂) (hp : p ≤ q) : p.comp f ≤ q.comp f :=
   fun _ => hp _
@@ -537,7 +537,7 @@ theorem comp_mono {p q : Seminorm 𝕜₂ E₂} (f : E →ₛₗ[σ₁₂] E₂)
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {𝕜₂ : Type.{u2}} {E : Type.{u3}} {E₂ : Type.{u4}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : SeminormedRing.{u2} 𝕜₂] {σ₁₂ : RingHom.{u1, u2} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))} [_inst_4 : RingHomIsometric.{u1, u2} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (SeminormedRing.toHasNorm.{u1} 𝕜 _inst_1) (SeminormedRing.toHasNorm.{u2} 𝕜₂ _inst_2) σ₁₂] [_inst_7 : AddCommGroup.{u3} E] [_inst_8 : AddCommGroup.{u4} E₂] [_inst_12 : Module.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)] [_inst_13 : Module.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)], (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_12 _inst_13) -> (AddMonoidHom.{u4, u3} (Seminorm.{u2, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))) (Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))) (AddMonoid.toAddZeroClass.{u4} (Seminorm.{u2, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))) (Seminorm.addMonoid.{u2, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13)))))) (AddMonoid.toAddZeroClass.{u3} (Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))) (Seminorm.addMonoid.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12)))))))
 but is expected to have type
-  forall {𝕜 : Type.{u1}} {𝕜₂ : Type.{u2}} {E : Type.{u3}} {E₂ : Type.{u4}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : SeminormedRing.{u2} 𝕜₂] {σ₁₂ : RingHom.{u1, u2} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))} [_inst_4 : RingHomIsometric.{u1, u2} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (SeminormedRing.toNorm.{u1} 𝕜 _inst_1) (SeminormedRing.toNorm.{u2} 𝕜₂ _inst_2) σ₁₂] [_inst_7 : AddCommGroup.{u3} E] [_inst_8 : AddCommGroup.{u4} E₂] [_inst_12 : Module.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)] [_inst_13 : Module.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)], (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_12 _inst_13) -> (AddMonoidHom.{u4, u3} (Seminorm.{u2, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toSMul.{u2, u4} 𝕜₂ E₂ (NegZeroClass.toZero.{u4} E₂ (SubNegZeroMonoid.toNegZeroClass.{u4} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u4} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u4} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u4} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u2, u4} 𝕜₂ E₂ (MonoidWithZero.toZero.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u4} E₂ (SubNegZeroMonoid.toNegZeroClass.{u4} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u4} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u4} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u4} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u4} E₂ (SubNegZeroMonoid.toNegZeroClass.{u4} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u4} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u4} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u4} E₂ _inst_8))))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))) (Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toSMul.{u1, u3} 𝕜 E (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u3} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_7))))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))) (AddMonoid.toAddZeroClass.{u4} (Seminorm.{u2, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toSMul.{u2, u4} 𝕜₂ E₂ (NegZeroClass.toZero.{u4} E₂ (SubNegZeroMonoid.toNegZeroClass.{u4} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u4} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u4} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u4} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u2, u4} 𝕜₂ E₂ (MonoidWithZero.toZero.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u4} E₂ (SubNegZeroMonoid.toNegZeroClass.{u4} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u4} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u4} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u4} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u4} E₂ (SubNegZeroMonoid.toNegZeroClass.{u4} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u4} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u4} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u4} E₂ _inst_8))))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))) (Seminorm.instAddMonoid.{u2, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toSMul.{u2, u4} 𝕜₂ E₂ (NegZeroClass.toZero.{u4} E₂ (SubNegZeroMonoid.toNegZeroClass.{u4} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u4} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u4} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u4} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u2, u4} 𝕜₂ E₂ (MonoidWithZero.toZero.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u4} E₂ (SubNegZeroMonoid.toNegZeroClass.{u4} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u4} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u4} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u4} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u4} E₂ (SubNegZeroMonoid.toNegZeroClass.{u4} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u4} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u4} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u4} E₂ _inst_8))))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13)))))) (AddMonoid.toAddZeroClass.{u3} (Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toSMul.{u1, u3} 𝕜 E (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u3} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_7))))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))) (Seminorm.instAddMonoid.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toSMul.{u1, u3} 𝕜 E (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u3} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_7))))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12)))))))
+  forall {𝕜 : Type.{u1}} {𝕜₂ : Type.{u2}} {E : Type.{u3}} {E₂ : Type.{u4}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : SeminormedRing.{u2} 𝕜₂] {σ₁₂ : RingHom.{u1, u2} 𝕜 𝕜₂ (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (Semiring.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))} [_inst_4 : RingHomIsometric.{u1, u2} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (SeminormedRing.toNorm.{u1} 𝕜 _inst_1) (SeminormedRing.toNorm.{u2} 𝕜₂ _inst_2) σ₁₂] [_inst_7 : AddCommGroup.{u3} E] [_inst_8 : AddCommGroup.{u4} E₂] [_inst_12 : Module.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)] [_inst_13 : Module.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)], (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_12 _inst_13) -> (AddMonoidHom.{u4, u3} (Seminorm.{u2, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toSMul.{u2, u4} 𝕜₂ E₂ (NegZeroClass.toZero.{u4} E₂ (SubNegZeroMonoid.toNegZeroClass.{u4} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u4} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u4} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u4} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u2, u4} 𝕜₂ E₂ (MonoidWithZero.toZero.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u4} E₂ (SubNegZeroMonoid.toNegZeroClass.{u4} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u4} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u4} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u4} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u4} E₂ (SubNegZeroMonoid.toNegZeroClass.{u4} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u4} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u4} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u4} E₂ _inst_8))))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))) (Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toSMul.{u1, u3} 𝕜 E (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u3} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_7))))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))) (AddMonoid.toAddZeroClass.{u4} (Seminorm.{u2, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toSMul.{u2, u4} 𝕜₂ E₂ (NegZeroClass.toZero.{u4} E₂ (SubNegZeroMonoid.toNegZeroClass.{u4} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u4} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u4} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u4} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u2, u4} 𝕜₂ E₂ (MonoidWithZero.toZero.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u4} E₂ (SubNegZeroMonoid.toNegZeroClass.{u4} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u4} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u4} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u4} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u4} E₂ (SubNegZeroMonoid.toNegZeroClass.{u4} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u4} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u4} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u4} E₂ _inst_8))))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))) (Seminorm.instAddMonoid.{u2, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toSMul.{u2, u4} 𝕜₂ E₂ (NegZeroClass.toZero.{u4} E₂ (SubNegZeroMonoid.toNegZeroClass.{u4} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u4} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u4} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u4} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u2, u4} 𝕜₂ E₂ (MonoidWithZero.toZero.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u4} E₂ (SubNegZeroMonoid.toNegZeroClass.{u4} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u4} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u4} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u4} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u4} E₂ (SubNegZeroMonoid.toNegZeroClass.{u4} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u4} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u4} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u4} E₂ _inst_8))))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13)))))) (AddMonoid.toAddZeroClass.{u3} (Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toSMul.{u1, u3} 𝕜 E (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u3} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_7))))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))) (Seminorm.instAddMonoid.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toSMul.{u1, u3} 𝕜 E (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u3} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_7))))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12)))))))
 Case conversion may be inaccurate. Consider using '#align seminorm.pullback Seminorm.pullbackₓ'. -/
 /-- The composition as an `add_monoid_hom`. -/
 @[simps]
@@ -670,7 +670,7 @@ variable [AddCommGroup E] [AddCommGroup E₂] [Module 𝕜 E] [Module 𝕜₂ E
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {𝕜₂ : Type.{u2}} {E : Type.{u3}} {E₂ : Type.{u4}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : SeminormedCommRing.{u2} 𝕜₂] {σ₁₂ : RingHom.{u1, u2} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))))} [_inst_3 : RingHomIsometric.{u1, u2} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))) (SeminormedRing.toHasNorm.{u1} 𝕜 _inst_1) (SeminormedRing.toHasNorm.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2)) σ₁₂] [_inst_4 : AddCommGroup.{u3} E] [_inst_5 : AddCommGroup.{u4} E₂] [_inst_6 : Module.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)] [_inst_7 : Module.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)] (p : Seminorm.{u2, u4} 𝕜₂ E₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2) (AddCommGroup.toAddGroup.{u4} E₂ _inst_5) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2)))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_7))))) (f : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_4) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_6 _inst_7) (c : 𝕜₂), Eq.{succ u3} (Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_4) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_4) _inst_6))))) (Seminorm.comp.{u1, u2, u3, u4} 𝕜 𝕜₂ E E₂ _inst_1 (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2) σ₁₂ _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 p (SMul.smul.{u2, max u3 u4} 𝕜₂ (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_4) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_6 _inst_7) (LinearMap.hasSmul.{u1, u2, u2, u3, u4} 𝕜 𝕜₂ 𝕜₂ E E₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_4) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_6 _inst_7 σ₁₂ (Ring.toMonoid.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))) (Module.toDistribMulAction.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_7) (smulCommClass_self.{u2, u4} 𝕜₂ E₂ (CommRing.toCommMonoid.{u2} 𝕜₂ (SeminormedCommRing.toCommRing.{u2} 𝕜₂ _inst_2)) (MulActionWithZero.toMulAction.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2)))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_7)))) c f)) (SMul.smul.{0, u3} NNReal (Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_4) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_4) _inst_6))))) (Seminorm.hasSmul.{0, u1, u3} NNReal 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_4) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_4) _inst_6)))) (MulAction.toHasSmul.{0, 0} NNReal Real (MonoidWithZero.toMonoid.{0} NNReal (Semiring.toMonoidWithZero.{0} NNReal NNReal.semiring)) (NNReal.mulAction.{0} Real (Monoid.toMulAction.{0} Real Real.monoid))) (Mul.toSMul.{0} NNReal (MulOneClass.toHasMul.{0} NNReal (Monoid.toMulOneClass.{0} NNReal (MonoidWithZero.toMonoid.{0} NNReal (Semiring.toMonoidWithZero.{0} NNReal NNReal.semiring))))) (IsScalarTower.left.{0, 0} NNReal Real (MonoidWithZero.toMonoid.{0} NNReal (Semiring.toMonoidWithZero.{0} NNReal NNReal.semiring)) (NNReal.mulAction.{0} Real (Monoid.toMulAction.{0} Real Real.monoid)))) (NNNorm.nnnorm.{u2} 𝕜₂ (SeminormedAddGroup.toNNNorm.{u2} 𝕜₂ (SeminormedAddCommGroup.toSeminormedAddGroup.{u2} 𝕜₂ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜₂ (SeminormedRing.toNonUnitalSeminormedRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))))) c) (Seminorm.comp.{u1, u2, u3, u4} 𝕜 𝕜₂ E E₂ _inst_1 (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2) σ₁₂ _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 p f))
 but is expected to have type
-  forall {𝕜 : Type.{u2}} {𝕜₂ : Type.{u4}} {E : Type.{u1}} {E₂ : Type.{u3}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_2 : SeminormedCommRing.{u4} 𝕜₂] {σ₁₂ : RingHom.{u2, u4} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NonAssocRing.toNonAssocSemiring.{u4} 𝕜₂ (Ring.toNonAssocRing.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2))))} [_inst_3 : RingHomIsometric.{u2, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2))) (SeminormedRing.toNorm.{u2} 𝕜 _inst_1) (SeminormedRing.toNorm.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2)) σ₁₂] [_inst_4 : AddCommGroup.{u1} E] [_inst_5 : AddCommGroup.{u3} E₂] [_inst_6 : Module.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4)] [_inst_7 : Module.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5)] (p : Seminorm.{u4, u3} 𝕜₂ E₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2) (AddCommGroup.toAddGroup.{u3} E₂ _inst_5) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (CommMonoidWithZero.toZero.{u4} 𝕜₂ (CommSemiring.toCommMonoidWithZero.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_7))))) (f : LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2))) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_6 _inst_7) (c : 𝕜₂), Eq.{succ u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_4) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) _inst_6))))) (Seminorm.comp.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ _inst_1 (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2) σ₁₂ _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 p (HSMul.hSMul.{u4, max u1 u3, max u1 u3} 𝕜₂ (LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2))) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_6 _inst_7) (LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2))) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_6 _inst_7) (instHSMul.{u4, max u1 u3} 𝕜₂ (LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2))) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_6 _inst_7) (LinearMap.instSMulLinearMap.{u2, u4, u4, u1, u3} 𝕜 𝕜₂ 𝕜₂ E E₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_6 _inst_7 σ₁₂ (MonoidWithZero.toMonoid.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2))))) (Module.toDistribMulAction.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_7) (smulCommClass_self.{u4, u3} 𝕜₂ E₂ (CommRing.toCommMonoid.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2)) (MulActionWithZero.toMulAction.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_7))))) c f)) (HSMul.hSMul.{0, u1, u1} NNReal (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_4) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) _inst_6))))) (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_4) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) _inst_6))))) (instHSMul.{0, u1} NNReal (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_4) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) _inst_6))))) (Seminorm.instSMul.{0, u2, u1} NNReal 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_4) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) _inst_6)))) Seminorm.smul_nnreal_real (Algebra.toSMul.{0, 0} NNReal NNReal instNNRealCommSemiring instNNRealSemiring (Algebra.id.{0} NNReal instNNRealCommSemiring)) (IsScalarTower.left.{0, 0} NNReal Real (MonoidWithZero.toMonoid.{0} NNReal (Semiring.toMonoidWithZero.{0} NNReal instNNRealSemiring)) (NNReal.instMulActionNNRealToMonoidToMonoidWithZeroInstNNRealSemiring.{0} Real (MulActionWithZero.toMulAction.{0, 0} Real Real Real.instMonoidWithZeroReal Real.instZeroReal (MonoidWithZero.toMulActionWithZero.{0} Real Real.instMonoidWithZeroReal)))))) (NNNorm.nnnorm.{u4} 𝕜₂ (SeminormedAddGroup.toNNNorm.{u4} 𝕜₂ (SeminormedAddCommGroup.toSeminormedAddGroup.{u4} 𝕜₂ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u4} 𝕜₂ (SeminormedRing.toNonUnitalSeminormedRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2))))) c) (Seminorm.comp.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ _inst_1 (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2) σ₁₂ _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 p f))
+  forall {𝕜 : Type.{u2}} {𝕜₂ : Type.{u4}} {E : Type.{u1}} {E₂ : Type.{u3}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_2 : SeminormedCommRing.{u4} 𝕜₂] {σ₁₂ : RingHom.{u2, u4} 𝕜 𝕜₂ (Semiring.toNonAssocSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (Semiring.toNonAssocSemiring.{u4} 𝕜₂ (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))))} [_inst_3 : RingHomIsometric.{u2, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))) (SeminormedRing.toNorm.{u2} 𝕜 _inst_1) (SeminormedRing.toNorm.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2)) σ₁₂] [_inst_4 : AddCommGroup.{u1} E] [_inst_5 : AddCommGroup.{u3} E₂] [_inst_6 : Module.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4)] [_inst_7 : Module.{u4, u3} 𝕜₂ E₂ (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5)] (p : Seminorm.{u4, u3} 𝕜₂ E₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2) (AddCommGroup.toAddGroup.{u3} E₂ _inst_5) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (CommMonoidWithZero.toZero.{u4} 𝕜₂ (CommSemiring.toCommMonoidWithZero.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_7))))) (f : LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_6 _inst_7) (c : 𝕜₂), Eq.{succ u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_4) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) _inst_6))))) (Seminorm.comp.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ _inst_1 (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2) σ₁₂ _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 p (HSMul.hSMul.{u4, max u1 u3, max u1 u3} 𝕜₂ (LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_6 _inst_7) (LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_6 _inst_7) (instHSMul.{u4, max u1 u3} 𝕜₂ (LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_6 _inst_7) (LinearMap.instSMulLinearMap.{u2, u4, u4, u1, u3} 𝕜 𝕜₂ 𝕜₂ E E₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_6 _inst_7 σ₁₂ (MonoidWithZero.toMonoid.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))))) (Module.toDistribMulAction.{u4, u3} 𝕜₂ E₂ (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_7) (smulCommClass_self.{u4, u3} 𝕜₂ E₂ (CommRing.toCommMonoid.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2)) (MulActionWithZero.toMulAction.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_7))))) c f)) (HSMul.hSMul.{0, u1, u1} NNReal (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_4) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) _inst_6))))) (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_4) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) _inst_6))))) (instHSMul.{0, u1} NNReal (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_4) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) _inst_6))))) (Seminorm.instSMul.{0, u2, u1} NNReal 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_4) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) _inst_6)))) Seminorm.smul_nnreal_real (Algebra.toSMul.{0, 0} NNReal NNReal instNNRealCommSemiring instNNRealSemiring (Algebra.id.{0} NNReal instNNRealCommSemiring)) (IsScalarTower.left.{0, 0} NNReal Real (MonoidWithZero.toMonoid.{0} NNReal (Semiring.toMonoidWithZero.{0} NNReal instNNRealSemiring)) (NNReal.instMulActionNNRealToMonoidToMonoidWithZeroInstNNRealSemiring.{0} Real (MulActionWithZero.toMulAction.{0, 0} Real Real Real.instMonoidWithZeroReal Real.instZeroReal (MonoidWithZero.toMulActionWithZero.{0} Real Real.instMonoidWithZeroReal)))))) (NNNorm.nnnorm.{u4} 𝕜₂ (SeminormedAddGroup.toNNNorm.{u4} 𝕜₂ (SeminormedAddCommGroup.toSeminormedAddGroup.{u4} 𝕜₂ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u4} 𝕜₂ (SeminormedRing.toNonUnitalSeminormedRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2))))) c) (Seminorm.comp.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ _inst_1 (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2) σ₁₂ _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 p f))
 Case conversion may be inaccurate. Consider using '#align seminorm.comp_smul Seminorm.comp_smulₓ'. -/
 theorem comp_smul (p : Seminorm 𝕜₂ E₂) (f : E →ₛₗ[σ₁₂] E₂) (c : 𝕜₂) :
     p.comp (c • f) = ‖c‖₊ • p.comp f :=
@@ -683,7 +683,7 @@ theorem comp_smul (p : Seminorm 𝕜₂ E₂) (f : E →ₛₗ[σ₁₂] E₂) (
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {𝕜₂ : Type.{u2}} {E : Type.{u3}} {E₂ : Type.{u4}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : SeminormedCommRing.{u2} 𝕜₂] {σ₁₂ : RingHom.{u1, u2} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))))} [_inst_3 : RingHomIsometric.{u1, u2} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))) (SeminormedRing.toHasNorm.{u1} 𝕜 _inst_1) (SeminormedRing.toHasNorm.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2)) σ₁₂] [_inst_4 : AddCommGroup.{u3} E] [_inst_5 : AddCommGroup.{u4} E₂] [_inst_6 : Module.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)] [_inst_7 : Module.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)] (p : Seminorm.{u2, u4} 𝕜₂ E₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2) (AddCommGroup.toAddGroup.{u4} E₂ _inst_5) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2)))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_7))))) (f : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_4) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_6 _inst_7) (c : 𝕜₂) (x : E), Eq.{1} Real (coeFn.{succ u3, succ u3} (Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_4) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_4) _inst_6))))) (fun (_x : Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_4) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_4) _inst_6))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_4) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_4) _inst_6))))) (Seminorm.comp.{u1, u2, u3, u4} 𝕜 𝕜₂ E E₂ _inst_1 (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2) σ₁₂ _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 p (SMul.smul.{u2, max u3 u4} 𝕜₂ (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_4) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_6 _inst_7) (LinearMap.hasSmul.{u1, u2, u2, u3, u4} 𝕜 𝕜₂ 𝕜₂ E E₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_4) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_6 _inst_7 σ₁₂ (Ring.toMonoid.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))) (Module.toDistribMulAction.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_7) (smulCommClass_self.{u2, u4} 𝕜₂ E₂ (CommRing.toCommMonoid.{u2} 𝕜₂ (SeminormedCommRing.toCommRing.{u2} 𝕜₂ _inst_2)) (MulActionWithZero.toMulAction.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2)))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_7)))) c f)) x) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) (Norm.norm.{u2} 𝕜₂ (SeminormedRing.toHasNorm.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2)) c) (coeFn.{succ u4, succ u4} (Seminorm.{u2, u4} 𝕜₂ E₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2) (AddCommGroup.toAddGroup.{u4} E₂ _inst_5) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2)))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_7))))) (fun (_x : Seminorm.{u2, u4} 𝕜₂ E₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2) (AddCommGroup.toAddGroup.{u4} E₂ _inst_5) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2)))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_7))))) => E₂ -> Real) (Seminorm.hasCoeToFun.{u2, u4} 𝕜₂ E₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2) (AddCommGroup.toAddGroup.{u4} E₂ _inst_5) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2)))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_7))))) p (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_4) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_6 _inst_7) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_4) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_6 _inst_7) => E -> E₂) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜 𝕜₂ E E₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_4) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_6 _inst_7 σ₁₂) f x)))
 but is expected to have type
-  forall {𝕜 : Type.{u2}} {𝕜₂ : Type.{u4}} {E : Type.{u1}} {E₂ : Type.{u3}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_2 : SeminormedCommRing.{u4} 𝕜₂] {σ₁₂ : RingHom.{u2, u4} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NonAssocRing.toNonAssocSemiring.{u4} 𝕜₂ (Ring.toNonAssocRing.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2))))} [_inst_3 : RingHomIsometric.{u2, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2))) (SeminormedRing.toNorm.{u2} 𝕜 _inst_1) (SeminormedRing.toNorm.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2)) σ₁₂] [_inst_4 : AddCommGroup.{u1} E] [_inst_5 : AddCommGroup.{u3} E₂] [_inst_6 : Module.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4)] [_inst_7 : Module.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5)] (p : Seminorm.{u4, u3} 𝕜₂ E₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2) (AddCommGroup.toAddGroup.{u3} E₂ _inst_5) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (CommMonoidWithZero.toZero.{u4} 𝕜₂ (CommSemiring.toCommMonoidWithZero.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_7))))) (f : LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2))) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_6 _inst_7) (c : 𝕜₂) (x : E), Eq.{1} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) x) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_4) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) _inst_6))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_4) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) _inst_6))))) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_4))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_4) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) _inst_6))))) E Real (AddCommGroup.toAddGroup.{u1} E _inst_4) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_4) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) _inst_6))))) 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_4) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) _inst_6)))) (Seminorm.instSeminormClass.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_4) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) _inst_6)))))))) (Seminorm.comp.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ _inst_1 (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2) σ₁₂ _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 p (HSMul.hSMul.{u4, max u1 u3, max u1 u3} 𝕜₂ (LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2))) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_6 _inst_7) (LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2))) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_6 _inst_7) (instHSMul.{u4, max u1 u3} 𝕜₂ (LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2))) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_6 _inst_7) (LinearMap.instSMulLinearMap.{u2, u4, u4, u1, u3} 𝕜 𝕜₂ 𝕜₂ E E₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_6 _inst_7 σ₁₂ (MonoidWithZero.toMonoid.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2))))) (Module.toDistribMulAction.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_7) (smulCommClass_self.{u4, u3} 𝕜₂ E₂ (CommRing.toCommMonoid.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2)) (MulActionWithZero.toMulAction.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_7))))) c f)) x) (HMul.hMul.{0, 0, 0} Real ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E₂) => Real) (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2))) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_6 _inst_7) E (fun (a : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : E) => E₂) a) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_6 _inst_7 σ₁₂) f x)) Real (instHMul.{0} Real Real.instMulReal) (Norm.norm.{u4} 𝕜₂ (SeminormedRing.toNorm.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2)) c) (FunLike.coe.{succ u3, succ u3, 1} (Seminorm.{u4, u3} 𝕜₂ E₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2) (AddCommGroup.toAddGroup.{u3} E₂ _inst_5) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (CommMonoidWithZero.toZero.{u4} 𝕜₂ (CommSemiring.toCommMonoidWithZero.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_7))))) E₂ (fun (_x : E₂) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E₂) => Real) _x) (SubadditiveHomClass.toFunLike.{u3, u3, 0} (Seminorm.{u4, u3} 𝕜₂ E₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2) (AddCommGroup.toAddGroup.{u3} E₂ _inst_5) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (CommMonoidWithZero.toZero.{u4} 𝕜₂ (CommSemiring.toCommMonoidWithZero.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_7))))) E₂ Real (AddZeroClass.toAdd.{u3} E₂ (AddMonoid.toAddZeroClass.{u3} E₂ (SubNegMonoid.toAddMonoid.{u3} E₂ (AddGroup.toSubNegMonoid.{u3} E₂ (AddCommGroup.toAddGroup.{u3} E₂ _inst_5))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u3, u3, 0} (Seminorm.{u4, u3} 𝕜₂ E₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2) (AddCommGroup.toAddGroup.{u3} E₂ _inst_5) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (CommMonoidWithZero.toZero.{u4} 𝕜₂ (CommSemiring.toCommMonoidWithZero.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_7))))) E₂ Real (AddCommGroup.toAddGroup.{u3} E₂ _inst_5) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u3, u4, u3} (Seminorm.{u4, u3} 𝕜₂ E₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2) (AddCommGroup.toAddGroup.{u3} E₂ _inst_5) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (CommMonoidWithZero.toZero.{u4} 𝕜₂ (CommSemiring.toCommMonoidWithZero.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_7))))) 𝕜₂ E₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2) (AddCommGroup.toAddGroup.{u3} E₂ _inst_5) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (CommMonoidWithZero.toZero.{u4} 𝕜₂ (CommSemiring.toCommMonoidWithZero.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_7)))) (Seminorm.instSeminormClass.{u4, u3} 𝕜₂ E₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2) (AddCommGroup.toAddGroup.{u3} E₂ _inst_5) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (CommMonoidWithZero.toZero.{u4} 𝕜₂ (CommSemiring.toCommMonoidWithZero.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_7)))))))) p (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2))) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_6 _inst_7) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : E) => E₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_6 _inst_7 σ₁₂) f x)))
+  forall {𝕜 : Type.{u2}} {𝕜₂ : Type.{u4}} {E : Type.{u1}} {E₂ : Type.{u3}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_2 : SeminormedCommRing.{u4} 𝕜₂] {σ₁₂ : RingHom.{u2, u4} 𝕜 𝕜₂ (Semiring.toNonAssocSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (Semiring.toNonAssocSemiring.{u4} 𝕜₂ (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))))} [_inst_3 : RingHomIsometric.{u2, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))) (SeminormedRing.toNorm.{u2} 𝕜 _inst_1) (SeminormedRing.toNorm.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2)) σ₁₂] [_inst_4 : AddCommGroup.{u1} E] [_inst_5 : AddCommGroup.{u3} E₂] [_inst_6 : Module.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4)] [_inst_7 : Module.{u4, u3} 𝕜₂ E₂ (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5)] (p : Seminorm.{u4, u3} 𝕜₂ E₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2) (AddCommGroup.toAddGroup.{u3} E₂ _inst_5) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (CommMonoidWithZero.toZero.{u4} 𝕜₂ (CommSemiring.toCommMonoidWithZero.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_7))))) (f : LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_6 _inst_7) (c : 𝕜₂) (x : E), Eq.{1} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) x) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_4) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) _inst_6))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_4) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) _inst_6))))) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_4))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_4) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) _inst_6))))) E Real (AddCommGroup.toAddGroup.{u1} E _inst_4) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_4) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) _inst_6))))) 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_4) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) _inst_6)))) (Seminorm.instSeminormClass.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_4) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) _inst_6)))))))) (Seminorm.comp.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ _inst_1 (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2) σ₁₂ _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 p (HSMul.hSMul.{u4, max u1 u3, max u1 u3} 𝕜₂ (LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_6 _inst_7) (LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_6 _inst_7) (instHSMul.{u4, max u1 u3} 𝕜₂ (LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_6 _inst_7) (LinearMap.instSMulLinearMap.{u2, u4, u4, u1, u3} 𝕜 𝕜₂ 𝕜₂ E E₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_6 _inst_7 σ₁₂ (MonoidWithZero.toMonoid.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))))) (Module.toDistribMulAction.{u4, u3} 𝕜₂ E₂ (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_7) (smulCommClass_self.{u4, u3} 𝕜₂ E₂ (CommRing.toCommMonoid.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2)) (MulActionWithZero.toMulAction.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_7))))) c f)) x) (HMul.hMul.{0, 0, 0} Real ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E₂) => Real) (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_6 _inst_7) E (fun (a : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : E) => E₂) a) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_6 _inst_7 σ₁₂) f x)) Real (instHMul.{0} Real Real.instMulReal) (Norm.norm.{u4} 𝕜₂ (SeminormedRing.toNorm.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2)) c) (FunLike.coe.{succ u3, succ u3, 1} (Seminorm.{u4, u3} 𝕜₂ E₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2) (AddCommGroup.toAddGroup.{u3} E₂ _inst_5) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (CommMonoidWithZero.toZero.{u4} 𝕜₂ (CommSemiring.toCommMonoidWithZero.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_7))))) E₂ (fun (_x : E₂) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E₂) => Real) _x) (SubadditiveHomClass.toFunLike.{u3, u3, 0} (Seminorm.{u4, u3} 𝕜₂ E₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2) (AddCommGroup.toAddGroup.{u3} E₂ _inst_5) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (CommMonoidWithZero.toZero.{u4} 𝕜₂ (CommSemiring.toCommMonoidWithZero.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_7))))) E₂ Real (AddZeroClass.toAdd.{u3} E₂ (AddMonoid.toAddZeroClass.{u3} E₂ (SubNegMonoid.toAddMonoid.{u3} E₂ (AddGroup.toSubNegMonoid.{u3} E₂ (AddCommGroup.toAddGroup.{u3} E₂ _inst_5))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u3, u3, 0} (Seminorm.{u4, u3} 𝕜₂ E₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2) (AddCommGroup.toAddGroup.{u3} E₂ _inst_5) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (CommMonoidWithZero.toZero.{u4} 𝕜₂ (CommSemiring.toCommMonoidWithZero.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_7))))) E₂ Real (AddCommGroup.toAddGroup.{u3} E₂ _inst_5) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u3, u4, u3} (Seminorm.{u4, u3} 𝕜₂ E₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2) (AddCommGroup.toAddGroup.{u3} E₂ _inst_5) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (CommMonoidWithZero.toZero.{u4} 𝕜₂ (CommSemiring.toCommMonoidWithZero.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_7))))) 𝕜₂ E₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2) (AddCommGroup.toAddGroup.{u3} E₂ _inst_5) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (CommMonoidWithZero.toZero.{u4} 𝕜₂ (CommSemiring.toCommMonoidWithZero.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_7)))) (Seminorm.instSeminormClass.{u4, u3} 𝕜₂ E₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2) (AddCommGroup.toAddGroup.{u3} E₂ _inst_5) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (CommMonoidWithZero.toZero.{u4} 𝕜₂ (CommSemiring.toCommMonoidWithZero.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_7)))))))) p (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_6 _inst_7) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : E) => E₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (CommSemiring.toSemiring.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_6 _inst_7 σ₁₂) f x)))
 Case conversion may be inaccurate. Consider using '#align seminorm.comp_smul_apply Seminorm.comp_smul_applyₓ'. -/
 theorem comp_smul_apply (p : Seminorm 𝕜₂ E₂) (f : E →ₛₗ[σ₁₂] E₂) (c : 𝕜₂) (x : E) :
     p.comp (c • f) x = ‖c‖ * p (f x) :=
@@ -1238,7 +1238,7 @@ variable {σ₁₂ : 𝕜 →+* 𝕜₂} [RingHomIsometric σ₁₂]
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {𝕜₂ : Type.{u2}} {E : Type.{u3}} {E₂ : Type.{u4}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u3} E] [_inst_3 : Module.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)] [_inst_4 : SeminormedRing.{u2} 𝕜₂] [_inst_5 : AddCommGroup.{u4} E₂] [_inst_6 : Module.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_4)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)] {σ₁₂ : RingHom.{u1, u2} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_4)))} [_inst_7 : RingHomIsometric.{u1, u2} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_4)) (SeminormedRing.toHasNorm.{u1} 𝕜 _inst_1) (SeminormedRing.toHasNorm.{u2} 𝕜₂ _inst_4) σ₁₂] (p : Seminorm.{u2, u4} 𝕜₂ E₂ _inst_4 (AddCommGroup.toAddGroup.{u4} E₂ _inst_5) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_4)))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_4))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_4)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_6))))) (f : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_4)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_3 _inst_6) (x : E) (r : Real), Eq.{succ u3} (Set.{u3} E) (Seminorm.ball.{u1, u3} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3)))) (Seminorm.comp.{u1, u2, u3, u4} 𝕜 𝕜₂ E E₂ _inst_1 _inst_4 σ₁₂ _inst_7 _inst_2 _inst_5 _inst_3 _inst_6 p f) x r) (Set.preimage.{u3, u4} E E₂ (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_4)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_3 _inst_6) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_4)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_3 _inst_6) => E -> E₂) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜 𝕜₂ E E₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_4)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_3 _inst_6 σ₁₂) f) (Seminorm.ball.{u2, u4} 𝕜₂ E₂ _inst_4 _inst_5 (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_4)))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_4))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_4)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_6)))) p (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_4)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_3 _inst_6) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_4)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_3 _inst_6) => E -> E₂) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜 𝕜₂ E E₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_4)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_3 _inst_6 σ₁₂) f x) r))
 but is expected to have type
-  forall {𝕜 : Type.{u2}} {𝕜₂ : Type.{u4}} {E : Type.{u1}} {E₂ : Type.{u3}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_2 : AddCommGroup.{u1} E] [_inst_3 : Module.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)] [_inst_4 : SeminormedRing.{u4} 𝕜₂] [_inst_5 : AddCommGroup.{u3} E₂] [_inst_6 : Module.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5)] {σ₁₂ : RingHom.{u2, u4} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NonAssocRing.toNonAssocSemiring.{u4} 𝕜₂ (Ring.toNonAssocRing.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)))} [_inst_7 : RingHomIsometric.{u2, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)) (SeminormedRing.toNorm.{u2} 𝕜 _inst_1) (SeminormedRing.toNorm.{u4} 𝕜₂ _inst_4) σ₁₂] (p : Seminorm.{u4, u3} 𝕜₂ E₂ _inst_4 (AddCommGroup.toAddGroup.{u3} E₂ _inst_5) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_6))))) (f : LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_3 _inst_6) (x : E) (r : Real), Eq.{succ u1} (Set.{u1} E) (Seminorm.ball.{u2, u1} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))) (Seminorm.comp.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ _inst_1 _inst_4 σ₁₂ _inst_7 _inst_2 _inst_5 _inst_3 _inst_6 p f) x r) (Set.preimage.{u1, u3} E E₂ (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_3 _inst_6) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : E) => E₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_3 _inst_6 σ₁₂) f) (Seminorm.ball.{u4, u3} 𝕜₂ E₂ _inst_4 _inst_5 (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_6)))) p (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_3 _inst_6) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : E) => E₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_3 _inst_6 σ₁₂) f x) r))
+  forall {𝕜 : Type.{u2}} {𝕜₂ : Type.{u4}} {E : Type.{u1}} {E₂ : Type.{u3}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_2 : AddCommGroup.{u1} E] [_inst_3 : Module.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)] [_inst_4 : SeminormedRing.{u4} 𝕜₂] [_inst_5 : AddCommGroup.{u3} E₂] [_inst_6 : Module.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5)] {σ₁₂ : RingHom.{u2, u4} 𝕜 𝕜₂ (Semiring.toNonAssocSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (Semiring.toNonAssocSemiring.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)))} [_inst_7 : RingHomIsometric.{u2, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)) (SeminormedRing.toNorm.{u2} 𝕜 _inst_1) (SeminormedRing.toNorm.{u4} 𝕜₂ _inst_4) σ₁₂] (p : Seminorm.{u4, u3} 𝕜₂ E₂ _inst_4 (AddCommGroup.toAddGroup.{u3} E₂ _inst_5) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_6))))) (f : LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_3 _inst_6) (x : E) (r : Real), Eq.{succ u1} (Set.{u1} E) (Seminorm.ball.{u2, u1} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))) (Seminorm.comp.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ _inst_1 _inst_4 σ₁₂ _inst_7 _inst_2 _inst_5 _inst_3 _inst_6 p f) x r) (Set.preimage.{u1, u3} E E₂ (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_3 _inst_6) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : E) => E₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_3 _inst_6 σ₁₂) f) (Seminorm.ball.{u4, u3} 𝕜₂ E₂ _inst_4 _inst_5 (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_6)))) p (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_3 _inst_6) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : E) => E₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_3 _inst_6 σ₁₂) f x) r))
 Case conversion may be inaccurate. Consider using '#align seminorm.ball_comp Seminorm.ball_compₓ'. -/
 theorem ball_comp (p : Seminorm 𝕜₂ E₂) (f : E →ₛₗ[σ₁₂] E₂) (x : E) (r : ℝ) :
     (p.comp f).ball x r = f ⁻¹' p.ball (f x) r :=
@@ -1251,7 +1251,7 @@ theorem ball_comp (p : Seminorm 𝕜₂ E₂) (f : E →ₛₗ[σ₁₂] E₂) (
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {𝕜₂ : Type.{u2}} {E : Type.{u3}} {E₂ : Type.{u4}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u3} E] [_inst_3 : Module.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)] [_inst_4 : SeminormedRing.{u2} 𝕜₂] [_inst_5 : AddCommGroup.{u4} E₂] [_inst_6 : Module.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_4)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)] {σ₁₂ : RingHom.{u1, u2} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_4)))} [_inst_7 : RingHomIsometric.{u1, u2} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_4)) (SeminormedRing.toHasNorm.{u1} 𝕜 _inst_1) (SeminormedRing.toHasNorm.{u2} 𝕜₂ _inst_4) σ₁₂] (p : Seminorm.{u2, u4} 𝕜₂ E₂ _inst_4 (AddCommGroup.toAddGroup.{u4} E₂ _inst_5) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_4)))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_4))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_4)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_6))))) (f : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_4)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_3 _inst_6) (x : E) (r : Real), Eq.{succ u3} (Set.{u3} E) (Seminorm.closedBall.{u1, u3} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3)))) (Seminorm.comp.{u1, u2, u3, u4} 𝕜 𝕜₂ E E₂ _inst_1 _inst_4 σ₁₂ _inst_7 _inst_2 _inst_5 _inst_3 _inst_6 p f) x r) (Set.preimage.{u3, u4} E E₂ (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_4)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_3 _inst_6) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_4)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_3 _inst_6) => E -> E₂) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜 𝕜₂ E E₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_4)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_3 _inst_6 σ₁₂) f) (Seminorm.closedBall.{u2, u4} 𝕜₂ E₂ _inst_4 _inst_5 (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_4)))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_4))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_4)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_6)))) p (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_4)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_3 _inst_6) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_4)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_3 _inst_6) => E -> E₂) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜 𝕜₂ E E₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_4)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_3 _inst_6 σ₁₂) f x) r))
 but is expected to have type
-  forall {𝕜 : Type.{u2}} {𝕜₂ : Type.{u4}} {E : Type.{u1}} {E₂ : Type.{u3}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_2 : AddCommGroup.{u1} E] [_inst_3 : Module.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)] [_inst_4 : SeminormedRing.{u4} 𝕜₂] [_inst_5 : AddCommGroup.{u3} E₂] [_inst_6 : Module.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5)] {σ₁₂ : RingHom.{u2, u4} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NonAssocRing.toNonAssocSemiring.{u4} 𝕜₂ (Ring.toNonAssocRing.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)))} [_inst_7 : RingHomIsometric.{u2, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)) (SeminormedRing.toNorm.{u2} 𝕜 _inst_1) (SeminormedRing.toNorm.{u4} 𝕜₂ _inst_4) σ₁₂] (p : Seminorm.{u4, u3} 𝕜₂ E₂ _inst_4 (AddCommGroup.toAddGroup.{u3} E₂ _inst_5) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_6))))) (f : LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_3 _inst_6) (x : E) (r : Real), Eq.{succ u1} (Set.{u1} E) (Seminorm.closedBall.{u2, u1} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))) (Seminorm.comp.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ _inst_1 _inst_4 σ₁₂ _inst_7 _inst_2 _inst_5 _inst_3 _inst_6 p f) x r) (Set.preimage.{u1, u3} E E₂ (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_3 _inst_6) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : E) => E₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_3 _inst_6 σ₁₂) f) (Seminorm.closedBall.{u4, u3} 𝕜₂ E₂ _inst_4 _inst_5 (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_6)))) p (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_3 _inst_6) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : E) => E₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_3 _inst_6 σ₁₂) f x) r))
+  forall {𝕜 : Type.{u2}} {𝕜₂ : Type.{u4}} {E : Type.{u1}} {E₂ : Type.{u3}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_2 : AddCommGroup.{u1} E] [_inst_3 : Module.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)] [_inst_4 : SeminormedRing.{u4} 𝕜₂] [_inst_5 : AddCommGroup.{u3} E₂] [_inst_6 : Module.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5)] {σ₁₂ : RingHom.{u2, u4} 𝕜 𝕜₂ (Semiring.toNonAssocSemiring.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (Semiring.toNonAssocSemiring.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)))} [_inst_7 : RingHomIsometric.{u2, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)) (SeminormedRing.toNorm.{u2} 𝕜 _inst_1) (SeminormedRing.toNorm.{u4} 𝕜₂ _inst_4) σ₁₂] (p : Seminorm.{u4, u3} 𝕜₂ E₂ _inst_4 (AddCommGroup.toAddGroup.{u3} E₂ _inst_5) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_6))))) (f : LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_3 _inst_6) (x : E) (r : Real), Eq.{succ u1} (Set.{u1} E) (Seminorm.closedBall.{u2, u1} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))) (Seminorm.comp.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ _inst_1 _inst_4 σ₁₂ _inst_7 _inst_2 _inst_5 _inst_3 _inst_6 p f) x r) (Set.preimage.{u1, u3} E E₂ (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_3 _inst_6) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : E) => E₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_3 _inst_6 σ₁₂) f) (Seminorm.closedBall.{u4, u3} 𝕜₂ E₂ _inst_4 _inst_5 (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_6)))) p (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_3 _inst_6) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : E) => E₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_3 _inst_6 σ₁₂) f x) r))
 Case conversion may be inaccurate. Consider using '#align seminorm.closed_ball_comp Seminorm.closedBall_compₓ'. -/
 theorem closedBall_comp (p : Seminorm 𝕜₂ E₂) (f : E →ₛₗ[σ₁₂] E₂) (x : E) (r : ℝ) :
     (p.comp f).closedBall x r = f ⁻¹' p.closedBall (f x) r :=
@@ -1658,7 +1658,7 @@ theorem neg_ball (p : Seminorm 𝕜 E) (r : ℝ) (x : E) : -ball p x r = ball p
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (p : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (y : E) (r : Real) (a : 𝕜), (Ne.{succ u1} 𝕜 a (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))))))) -> (Eq.{succ u2} (Set.{u2} E) (Set.preimage.{u2, u2} E E (SMul.smul.{u1, u2} 𝕜 E (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) a) (Seminorm.ball.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) p y r)) (Seminorm.ball.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) p (SMul.smul.{u1, u2} 𝕜 E (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Inv.inv.{u1} 𝕜 (DivInvMonoid.toHasInv.{u1} 𝕜 (DivisionRing.toDivInvMonoid.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 (NormedField.toNormedDivisionRing.{u1} 𝕜 _inst_1)))) a) y) (HDiv.hDiv.{0, 0, 0} Real Real Real (instHDiv.{0} Real (DivInvMonoid.toHasDiv.{0} Real (DivisionRing.toDivInvMonoid.{0} Real Real.divisionRing))) r (Norm.norm.{u1} 𝕜 (NormedField.toHasNorm.{u1} 𝕜 _inst_1) a))))
 but is expected to have type
-  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : NormedField.{u2} 𝕜] [_inst_2 : AddCommGroup.{u1} E] [_inst_3 : Module.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)] (p : Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) (y : E) (r : Real) (a : 𝕜), (Ne.{succ u2} 𝕜 a (OfNat.ofNat.{u2} 𝕜 0 (Zero.toOfNat0.{u2} 𝕜 (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))))))) -> (Eq.{succ u1} (Set.{u1} E) (Set.preimage.{u1, u1} E E ((fun (x._@.Mathlib.Analysis.Seminorm._hyg.15383 : 𝕜) (x._@.Mathlib.Analysis.Seminorm._hyg.15385 : E) => HSMul.hSMul.{u2, u1, u1} 𝕜 E E (instHSMul.{u2, u1} 𝕜 E (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) x._@.Mathlib.Analysis.Seminorm._hyg.15383 x._@.Mathlib.Analysis.Seminorm._hyg.15385) a) (Seminorm.ball.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) _inst_2 (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))) p y r)) (Seminorm.ball.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) _inst_2 (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))) p (HSMul.hSMul.{u2, u1, u1} 𝕜 E E (instHSMul.{u2, u1} 𝕜 E (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) (Inv.inv.{u2} 𝕜 (Field.toInv.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)) a) y) (HDiv.hDiv.{0, 0, 0} Real Real Real (instHDiv.{0} Real (LinearOrderedField.toDiv.{0} Real Real.instLinearOrderedFieldReal)) r (Norm.norm.{u2} 𝕜 (NormedField.toNorm.{u2} 𝕜 _inst_1) a))))
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : NormedField.{u2} 𝕜] [_inst_2 : AddCommGroup.{u1} E] [_inst_3 : Module.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)] (p : Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) (y : E) (r : Real) (a : 𝕜), (Ne.{succ u2} 𝕜 a (OfNat.ofNat.{u2} 𝕜 0 (Zero.toOfNat0.{u2} 𝕜 (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))))))) -> (Eq.{succ u1} (Set.{u1} E) (Set.preimage.{u1, u1} E E ((fun (x._@.Mathlib.Analysis.Seminorm._hyg.15314 : 𝕜) (x._@.Mathlib.Analysis.Seminorm._hyg.15316 : E) => HSMul.hSMul.{u2, u1, u1} 𝕜 E E (instHSMul.{u2, u1} 𝕜 E (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) x._@.Mathlib.Analysis.Seminorm._hyg.15314 x._@.Mathlib.Analysis.Seminorm._hyg.15316) a) (Seminorm.ball.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) _inst_2 (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))) p y r)) (Seminorm.ball.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) _inst_2 (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))) p (HSMul.hSMul.{u2, u1, u1} 𝕜 E E (instHSMul.{u2, u1} 𝕜 E (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) (Inv.inv.{u2} 𝕜 (Field.toInv.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)) a) y) (HDiv.hDiv.{0, 0, 0} Real Real Real (instHDiv.{0} Real (LinearOrderedField.toDiv.{0} Real Real.instLinearOrderedFieldReal)) r (Norm.norm.{u2} 𝕜 (NormedField.toNorm.{u2} 𝕜 _inst_1) a))))
 Case conversion may be inaccurate. Consider using '#align seminorm.smul_ball_preimage Seminorm.smul_ball_preimageₓ'. -/
 @[simp]
 theorem smul_ball_preimage (p : Seminorm 𝕜 E) (y : E) (r : ℝ) (a : 𝕜) (ha : a ≠ 0) :
@@ -1737,7 +1737,7 @@ variable (𝕜) {𝕜' : Type _} [NormedField 𝕜] [SeminormedRing 𝕜'] [Norm
 lean 3 declaration is
   forall (𝕜 : Type.{u1}) {E : Type.{u2}} {𝕜' : Type.{u3}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : SeminormedRing.{u3} 𝕜'] [_inst_3 : NormedAlgebra.{u1, u3} 𝕜 𝕜' _inst_1 _inst_2] [_inst_4 : NormOneClass.{u3} 𝕜' (SeminormedRing.toHasNorm.{u3} 𝕜' _inst_2) (AddMonoidWithOne.toOne.{u3} 𝕜' (AddGroupWithOne.toAddMonoidWithOne.{u3} 𝕜' (AddCommGroupWithOne.toAddGroupWithOne.{u3} 𝕜' (Ring.toAddCommGroupWithOne.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))))] [_inst_5 : AddCommGroup.{u2} E] [_inst_6 : Module.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)] [_inst_7 : SMul.{u1, u2} 𝕜 E] [_inst_8 : IsScalarTower.{u1, u3, u2} 𝕜 𝕜' E (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 𝕜' (AddZeroClass.toHasZero.{u3} 𝕜' (AddMonoid.toAddZeroClass.{u3} 𝕜' (AddCommMonoid.toAddMonoid.{u3} 𝕜' (AddCommGroup.toAddCommMonoid.{u3} 𝕜' (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜' (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜' (SeminormedRing.toNonUnitalSeminormedRing.{u3} 𝕜' _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 𝕜' (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u3} 𝕜' (AddMonoid.toAddZeroClass.{u3} 𝕜' (AddCommMonoid.toAddMonoid.{u3} 𝕜' (AddCommGroup.toAddCommMonoid.{u3} 𝕜' (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜' (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜' (SeminormedRing.toNonUnitalSeminormedRing.{u3} 𝕜' _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 𝕜' (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u3} 𝕜' (AddMonoid.toAddZeroClass.{u3} 𝕜' (AddCommMonoid.toAddMonoid.{u3} 𝕜' (AddCommGroup.toAddCommMonoid.{u3} 𝕜' (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜' (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜' (SeminormedRing.toNonUnitalSeminormedRing.{u3} 𝕜' _inst_2))))))) (Module.toMulActionWithZero.{u1, u3} 𝕜 𝕜' (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u3} 𝕜' (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜' (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜' (SeminormedRing.toNonUnitalSeminormedRing.{u3} 𝕜' _inst_2)))) (NormedSpace.toModule.{u1, u3} 𝕜 𝕜' _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜' (SeminormedRing.toNonUnitalSeminormedRing.{u3} 𝕜' _inst_2)) (NormedAlgebra.toNormedSpace.{u1, u3} 𝕜 𝕜' _inst_1 _inst_2 _inst_3)))))) (SMulZeroClass.toHasSmul.{u3, u2} 𝕜' E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)))) (SMulWithZero.toSmulZeroClass.{u3, u2} 𝕜' E (MulZeroClass.toHasZero.{u3} 𝕜' (MulZeroOneClass.toMulZeroClass.{u3} 𝕜' (MonoidWithZero.toMulZeroOneClass.{u3} 𝕜' (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜' E (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)))) (Module.toMulActionWithZero.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5) _inst_6)))) _inst_7], (Seminorm.{u3, u2} 𝕜' E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_5) (SMulZeroClass.toHasSmul.{u3, u2} 𝕜' E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)))) (SMulWithZero.toSmulZeroClass.{u3, u2} 𝕜' E (MulZeroClass.toHasZero.{u3} 𝕜' (MulZeroOneClass.toMulZeroClass.{u3} 𝕜' (MonoidWithZero.toMulZeroOneClass.{u3} 𝕜' (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜' E (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)))) (Module.toMulActionWithZero.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5) _inst_6))))) -> (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_5) _inst_7)
 but is expected to have type
-  forall (𝕜 : Type.{u1}) {E : Type.{u2}} {𝕜' : Type.{u3}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : SeminormedRing.{u3} 𝕜'] [_inst_3 : NormedAlgebra.{u1, u3} 𝕜 𝕜' _inst_1 _inst_2] [_inst_4 : NormOneClass.{u3} 𝕜' (SeminormedRing.toNorm.{u3} 𝕜' _inst_2) (NonAssocRing.toOne.{u3} 𝕜' (Ring.toNonAssocRing.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))] [_inst_5 : AddCommGroup.{u2} E] [_inst_6 : Module.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)] [_inst_7 : SMul.{u1, u2} 𝕜 E] [_inst_8 : IsScalarTower.{u1, u3, u2} 𝕜 𝕜' E (Algebra.toSMul.{u1, u3} 𝕜 𝕜' (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))) (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (NormedAlgebra.toAlgebra.{u1, u3} 𝕜 𝕜' _inst_1 _inst_2 _inst_3)) (SMulZeroClass.toSMul.{u3, u2} 𝕜' E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜' E (MonoidWithZero.toZero.{u3} 𝕜' (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜' E (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (Module.toMulActionWithZero.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5) _inst_6)))) _inst_7], (Seminorm.{u3, u2} 𝕜' E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_5) (SMulZeroClass.toSMul.{u3, u2} 𝕜' E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜' E (MonoidWithZero.toZero.{u3} 𝕜' (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜' E (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (Module.toMulActionWithZero.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5) _inst_6))))) -> (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_5) _inst_7)
+  forall (𝕜 : Type.{u1}) {E : Type.{u2}} {𝕜' : Type.{u3}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : SeminormedRing.{u3} 𝕜'] [_inst_3 : NormedAlgebra.{u1, u3} 𝕜 𝕜' _inst_1 _inst_2] [_inst_4 : NormOneClass.{u3} 𝕜' (SeminormedRing.toNorm.{u3} 𝕜' _inst_2) (Semiring.toOne.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))] [_inst_5 : AddCommGroup.{u2} E] [_inst_6 : Module.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)] [_inst_7 : SMul.{u1, u2} 𝕜 E] [_inst_8 : IsScalarTower.{u1, u3, u2} 𝕜 𝕜' E (Algebra.toSMul.{u1, u3} 𝕜 𝕜' (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))) (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (NormedAlgebra.toAlgebra.{u1, u3} 𝕜 𝕜' _inst_1 _inst_2 _inst_3)) (SMulZeroClass.toSMul.{u3, u2} 𝕜' E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜' E (MonoidWithZero.toZero.{u3} 𝕜' (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜' E (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (Module.toMulActionWithZero.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5) _inst_6)))) _inst_7], (Seminorm.{u3, u2} 𝕜' E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_5) (SMulZeroClass.toSMul.{u3, u2} 𝕜' E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜' E (MonoidWithZero.toZero.{u3} 𝕜' (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜' E (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (Module.toMulActionWithZero.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5) _inst_6))))) -> (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_5) _inst_7)
 Case conversion may be inaccurate. Consider using '#align seminorm.restrict_scalars Seminorm.restrictScalarsₓ'. -/
 /-- Reinterpret a seminorm over a field `𝕜'` as a seminorm over a smaller field `𝕜`. This will
 typically be used with `is_R_or_C 𝕜'` and `𝕜 = ℝ`. -/
@@ -1750,7 +1750,7 @@ protected def restrictScalars (p : Seminorm 𝕜' E) : Seminorm 𝕜 E :=
 lean 3 declaration is
   forall (𝕜 : Type.{u1}) {E : Type.{u2}} {𝕜' : Type.{u3}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : SeminormedRing.{u3} 𝕜'] [_inst_3 : NormedAlgebra.{u1, u3} 𝕜 𝕜' _inst_1 _inst_2] [_inst_4 : NormOneClass.{u3} 𝕜' (SeminormedRing.toHasNorm.{u3} 𝕜' _inst_2) (AddMonoidWithOne.toOne.{u3} 𝕜' (AddGroupWithOne.toAddMonoidWithOne.{u3} 𝕜' (AddCommGroupWithOne.toAddGroupWithOne.{u3} 𝕜' (Ring.toAddCommGroupWithOne.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))))] [_inst_5 : AddCommGroup.{u2} E] [_inst_6 : Module.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)] [_inst_7 : SMul.{u1, u2} 𝕜 E] [_inst_8 : IsScalarTower.{u1, u3, u2} 𝕜 𝕜' E (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 𝕜' (AddZeroClass.toHasZero.{u3} 𝕜' (AddMonoid.toAddZeroClass.{u3} 𝕜' (AddCommMonoid.toAddMonoid.{u3} 𝕜' (AddCommGroup.toAddCommMonoid.{u3} 𝕜' (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜' (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜' (SeminormedRing.toNonUnitalSeminormedRing.{u3} 𝕜' _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 𝕜' (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u3} 𝕜' (AddMonoid.toAddZeroClass.{u3} 𝕜' (AddCommMonoid.toAddMonoid.{u3} 𝕜' (AddCommGroup.toAddCommMonoid.{u3} 𝕜' (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜' (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜' (SeminormedRing.toNonUnitalSeminormedRing.{u3} 𝕜' _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 𝕜' (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u3} 𝕜' (AddMonoid.toAddZeroClass.{u3} 𝕜' (AddCommMonoid.toAddMonoid.{u3} 𝕜' (AddCommGroup.toAddCommMonoid.{u3} 𝕜' (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜' (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜' (SeminormedRing.toNonUnitalSeminormedRing.{u3} 𝕜' _inst_2))))))) (Module.toMulActionWithZero.{u1, u3} 𝕜 𝕜' (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u3} 𝕜' (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜' (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜' (SeminormedRing.toNonUnitalSeminormedRing.{u3} 𝕜' _inst_2)))) (NormedSpace.toModule.{u1, u3} 𝕜 𝕜' _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜' (SeminormedRing.toNonUnitalSeminormedRing.{u3} 𝕜' _inst_2)) (NormedAlgebra.toNormedSpace.{u1, u3} 𝕜 𝕜' _inst_1 _inst_2 _inst_3)))))) (SMulZeroClass.toHasSmul.{u3, u2} 𝕜' E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)))) (SMulWithZero.toSmulZeroClass.{u3, u2} 𝕜' E (MulZeroClass.toHasZero.{u3} 𝕜' (MulZeroOneClass.toMulZeroClass.{u3} 𝕜' (MonoidWithZero.toMulZeroOneClass.{u3} 𝕜' (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜' E (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)))) (Module.toMulActionWithZero.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5) _inst_6)))) _inst_7] (p : Seminorm.{u3, u2} 𝕜' E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_5) (SMulZeroClass.toHasSmul.{u3, u2} 𝕜' E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)))) (SMulWithZero.toSmulZeroClass.{u3, u2} 𝕜' E (MulZeroClass.toHasZero.{u3} 𝕜' (MulZeroOneClass.toMulZeroClass.{u3} 𝕜' (MonoidWithZero.toMulZeroOneClass.{u3} 𝕜' (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜' E (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)))) (Module.toMulActionWithZero.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5) _inst_6))))), Eq.{succ u2} ((fun (_x : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_5) _inst_7) => E -> Real) (Seminorm.restrictScalars.{u1, u2, u3} 𝕜 E 𝕜' _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 p)) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_5) _inst_7) (fun (_x : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_5) _inst_7) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_5) _inst_7) (Seminorm.restrictScalars.{u1, u2, u3} 𝕜 E 𝕜' _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 p)) (coeFn.{succ u2, succ u2} (Seminorm.{u3, u2} 𝕜' E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_5) (SMulZeroClass.toHasSmul.{u3, u2} 𝕜' E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)))) (SMulWithZero.toSmulZeroClass.{u3, u2} 𝕜' E (MulZeroClass.toHasZero.{u3} 𝕜' (MulZeroOneClass.toMulZeroClass.{u3} 𝕜' (MonoidWithZero.toMulZeroOneClass.{u3} 𝕜' (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜' E (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)))) (Module.toMulActionWithZero.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5) _inst_6))))) (fun (_x : Seminorm.{u3, u2} 𝕜' E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_5) (SMulZeroClass.toHasSmul.{u3, u2} 𝕜' E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)))) (SMulWithZero.toSmulZeroClass.{u3, u2} 𝕜' E (MulZeroClass.toHasZero.{u3} 𝕜' (MulZeroOneClass.toMulZeroClass.{u3} 𝕜' (MonoidWithZero.toMulZeroOneClass.{u3} 𝕜' (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜' E (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)))) (Module.toMulActionWithZero.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5) _inst_6))))) => E -> Real) (Seminorm.hasCoeToFun.{u3, u2} 𝕜' E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_5) (SMulZeroClass.toHasSmul.{u3, u2} 𝕜' E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)))) (SMulWithZero.toSmulZeroClass.{u3, u2} 𝕜' E (MulZeroClass.toHasZero.{u3} 𝕜' (MulZeroOneClass.toMulZeroClass.{u3} 𝕜' (MonoidWithZero.toMulZeroOneClass.{u3} 𝕜' (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜' E (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)))) (Module.toMulActionWithZero.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5) _inst_6))))) p)
 but is expected to have type
-  forall (𝕜 : Type.{u1}) {E : Type.{u2}} {𝕜' : Type.{u3}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : SeminormedRing.{u3} 𝕜'] [_inst_3 : NormedAlgebra.{u1, u3} 𝕜 𝕜' _inst_1 _inst_2] [_inst_4 : NormOneClass.{u3} 𝕜' (SeminormedRing.toNorm.{u3} 𝕜' _inst_2) (NonAssocRing.toOne.{u3} 𝕜' (Ring.toNonAssocRing.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))] [_inst_5 : AddCommGroup.{u2} E] [_inst_6 : Module.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)] [_inst_7 : SMul.{u1, u2} 𝕜 E] [_inst_8 : IsScalarTower.{u1, u3, u2} 𝕜 𝕜' E (Algebra.toSMul.{u1, u3} 𝕜 𝕜' (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))) (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (NormedAlgebra.toAlgebra.{u1, u3} 𝕜 𝕜' _inst_1 _inst_2 _inst_3)) (SMulZeroClass.toSMul.{u3, u2} 𝕜' E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜' E (MonoidWithZero.toZero.{u3} 𝕜' (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜' E (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (Module.toMulActionWithZero.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5) _inst_6)))) _inst_7] (p : Seminorm.{u3, u2} 𝕜' E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_5) (SMulZeroClass.toSMul.{u3, u2} 𝕜' E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜' E (MonoidWithZero.toZero.{u3} 𝕜' (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜' E (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (Module.toMulActionWithZero.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5) _inst_6))))), Eq.{succ u2} (forall (a : E), (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) a) (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_5) _inst_7) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_5) _inst_7) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_5))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_5) _inst_7) E Real (AddCommGroup.toAddGroup.{u2} E _inst_5) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_5) _inst_7) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_5) _inst_7 (Seminorm.instSeminormClass.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_5) _inst_7)))) (Seminorm.restrictScalars.{u1, u2, u3} 𝕜 E 𝕜' _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 p)) (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u3, u2} 𝕜' E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_5) (SMulZeroClass.toSMul.{u3, u2} 𝕜' E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜' E (MonoidWithZero.toZero.{u3} 𝕜' (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜' E (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (Module.toMulActionWithZero.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5) _inst_6))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u3, u2} 𝕜' E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_5) (SMulZeroClass.toSMul.{u3, u2} 𝕜' E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜' E (MonoidWithZero.toZero.{u3} 𝕜' (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜' E (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (Module.toMulActionWithZero.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5) _inst_6))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_5))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u3, u2} 𝕜' E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_5) (SMulZeroClass.toSMul.{u3, u2} 𝕜' E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜' E (MonoidWithZero.toZero.{u3} 𝕜' (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜' E (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (Module.toMulActionWithZero.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5) _inst_6))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_5) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u3, u2} (Seminorm.{u3, u2} 𝕜' E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_5) (SMulZeroClass.toSMul.{u3, u2} 𝕜' E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜' E (MonoidWithZero.toZero.{u3} 𝕜' (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜' E (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (Module.toMulActionWithZero.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5) _inst_6))))) 𝕜' E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_5) (SMulZeroClass.toSMul.{u3, u2} 𝕜' E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜' E (MonoidWithZero.toZero.{u3} 𝕜' (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜' E (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (Module.toMulActionWithZero.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5) _inst_6)))) (Seminorm.instSeminormClass.{u3, u2} 𝕜' E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_5) (SMulZeroClass.toSMul.{u3, u2} 𝕜' E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜' E (MonoidWithZero.toZero.{u3} 𝕜' (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜' E (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (Module.toMulActionWithZero.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5) _inst_6)))))))) p)
+  forall (𝕜 : Type.{u1}) {E : Type.{u2}} {𝕜' : Type.{u3}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : SeminormedRing.{u3} 𝕜'] [_inst_3 : NormedAlgebra.{u1, u3} 𝕜 𝕜' _inst_1 _inst_2] [_inst_4 : NormOneClass.{u3} 𝕜' (SeminormedRing.toNorm.{u3} 𝕜' _inst_2) (Semiring.toOne.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))] [_inst_5 : AddCommGroup.{u2} E] [_inst_6 : Module.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)] [_inst_7 : SMul.{u1, u2} 𝕜 E] [_inst_8 : IsScalarTower.{u1, u3, u2} 𝕜 𝕜' E (Algebra.toSMul.{u1, u3} 𝕜 𝕜' (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))) (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (NormedAlgebra.toAlgebra.{u1, u3} 𝕜 𝕜' _inst_1 _inst_2 _inst_3)) (SMulZeroClass.toSMul.{u3, u2} 𝕜' E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜' E (MonoidWithZero.toZero.{u3} 𝕜' (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜' E (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (Module.toMulActionWithZero.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5) _inst_6)))) _inst_7] (p : Seminorm.{u3, u2} 𝕜' E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_5) (SMulZeroClass.toSMul.{u3, u2} 𝕜' E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜' E (MonoidWithZero.toZero.{u3} 𝕜' (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜' E (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (Module.toMulActionWithZero.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5) _inst_6))))), Eq.{succ u2} (forall (a : E), (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) a) (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_5) _inst_7) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_5) _inst_7) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_5))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_5) _inst_7) E Real (AddCommGroup.toAddGroup.{u2} E _inst_5) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_5) _inst_7) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_5) _inst_7 (Seminorm.instSeminormClass.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_5) _inst_7)))) (Seminorm.restrictScalars.{u1, u2, u3} 𝕜 E 𝕜' _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 p)) (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u3, u2} 𝕜' E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_5) (SMulZeroClass.toSMul.{u3, u2} 𝕜' E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜' E (MonoidWithZero.toZero.{u3} 𝕜' (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜' E (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (Module.toMulActionWithZero.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5) _inst_6))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u3, u2} 𝕜' E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_5) (SMulZeroClass.toSMul.{u3, u2} 𝕜' E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜' E (MonoidWithZero.toZero.{u3} 𝕜' (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜' E (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (Module.toMulActionWithZero.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5) _inst_6))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_5))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u3, u2} 𝕜' E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_5) (SMulZeroClass.toSMul.{u3, u2} 𝕜' E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜' E (MonoidWithZero.toZero.{u3} 𝕜' (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜' E (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (Module.toMulActionWithZero.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5) _inst_6))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_5) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u3, u2} (Seminorm.{u3, u2} 𝕜' E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_5) (SMulZeroClass.toSMul.{u3, u2} 𝕜' E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜' E (MonoidWithZero.toZero.{u3} 𝕜' (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜' E (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (Module.toMulActionWithZero.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5) _inst_6))))) 𝕜' E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_5) (SMulZeroClass.toSMul.{u3, u2} 𝕜' E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜' E (MonoidWithZero.toZero.{u3} 𝕜' (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜' E (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (Module.toMulActionWithZero.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5) _inst_6)))) (Seminorm.instSeminormClass.{u3, u2} 𝕜' E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_5) (SMulZeroClass.toSMul.{u3, u2} 𝕜' E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜' E (MonoidWithZero.toZero.{u3} 𝕜' (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜' E (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (Module.toMulActionWithZero.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5) _inst_6)))))))) p)
 Case conversion may be inaccurate. Consider using '#align seminorm.coe_restrict_scalars Seminorm.coe_restrictScalarsₓ'. -/
 @[simp]
 theorem coe_restrictScalars (p : Seminorm 𝕜' E) : (p.restrictScalars 𝕜 : E → ℝ) = p :=
@@ -1761,7 +1761,7 @@ theorem coe_restrictScalars (p : Seminorm 𝕜' E) : (p.restrictScalars 𝕜 : E
 lean 3 declaration is
   forall (𝕜 : Type.{u1}) {E : Type.{u2}} {𝕜' : Type.{u3}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : SeminormedRing.{u3} 𝕜'] [_inst_3 : NormedAlgebra.{u1, u3} 𝕜 𝕜' _inst_1 _inst_2] [_inst_4 : NormOneClass.{u3} 𝕜' (SeminormedRing.toHasNorm.{u3} 𝕜' _inst_2) (AddMonoidWithOne.toOne.{u3} 𝕜' (AddGroupWithOne.toAddMonoidWithOne.{u3} 𝕜' (AddCommGroupWithOne.toAddGroupWithOne.{u3} 𝕜' (Ring.toAddCommGroupWithOne.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))))] [_inst_5 : AddCommGroup.{u2} E] [_inst_6 : Module.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)] [_inst_7 : SMul.{u1, u2} 𝕜 E] [_inst_8 : IsScalarTower.{u1, u3, u2} 𝕜 𝕜' E (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 𝕜' (AddZeroClass.toHasZero.{u3} 𝕜' (AddMonoid.toAddZeroClass.{u3} 𝕜' (AddCommMonoid.toAddMonoid.{u3} 𝕜' (AddCommGroup.toAddCommMonoid.{u3} 𝕜' (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜' (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜' (SeminormedRing.toNonUnitalSeminormedRing.{u3} 𝕜' _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 𝕜' (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u3} 𝕜' (AddMonoid.toAddZeroClass.{u3} 𝕜' (AddCommMonoid.toAddMonoid.{u3} 𝕜' (AddCommGroup.toAddCommMonoid.{u3} 𝕜' (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜' (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜' (SeminormedRing.toNonUnitalSeminormedRing.{u3} 𝕜' _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 𝕜' (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u3} 𝕜' (AddMonoid.toAddZeroClass.{u3} 𝕜' (AddCommMonoid.toAddMonoid.{u3} 𝕜' (AddCommGroup.toAddCommMonoid.{u3} 𝕜' (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜' (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜' (SeminormedRing.toNonUnitalSeminormedRing.{u3} 𝕜' _inst_2))))))) (Module.toMulActionWithZero.{u1, u3} 𝕜 𝕜' (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u3} 𝕜' (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜' (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜' (SeminormedRing.toNonUnitalSeminormedRing.{u3} 𝕜' _inst_2)))) (NormedSpace.toModule.{u1, u3} 𝕜 𝕜' _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜' (SeminormedRing.toNonUnitalSeminormedRing.{u3} 𝕜' _inst_2)) (NormedAlgebra.toNormedSpace.{u1, u3} 𝕜 𝕜' _inst_1 _inst_2 _inst_3)))))) (SMulZeroClass.toHasSmul.{u3, u2} 𝕜' E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)))) (SMulWithZero.toSmulZeroClass.{u3, u2} 𝕜' E (MulZeroClass.toHasZero.{u3} 𝕜' (MulZeroOneClass.toMulZeroClass.{u3} 𝕜' (MonoidWithZero.toMulZeroOneClass.{u3} 𝕜' (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜' E (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)))) (Module.toMulActionWithZero.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5) _inst_6)))) _inst_7] (p : Seminorm.{u3, u2} 𝕜' E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_5) (SMulZeroClass.toHasSmul.{u3, u2} 𝕜' E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)))) (SMulWithZero.toSmulZeroClass.{u3, u2} 𝕜' E (MulZeroClass.toHasZero.{u3} 𝕜' (MulZeroOneClass.toMulZeroClass.{u3} 𝕜' (MonoidWithZero.toMulZeroOneClass.{u3} 𝕜' (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜' E (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)))) (Module.toMulActionWithZero.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5) _inst_6))))), Eq.{succ u2} (E -> Real -> (Set.{u2} E)) (Seminorm.ball.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) _inst_5 _inst_7 (Seminorm.restrictScalars.{u1, u2, u3} 𝕜 E 𝕜' _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 p)) (Seminorm.ball.{u3, u2} 𝕜' E _inst_2 _inst_5 (SMulZeroClass.toHasSmul.{u3, u2} 𝕜' E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)))) (SMulWithZero.toSmulZeroClass.{u3, u2} 𝕜' E (MulZeroClass.toHasZero.{u3} 𝕜' (MulZeroOneClass.toMulZeroClass.{u3} 𝕜' (MonoidWithZero.toMulZeroOneClass.{u3} 𝕜' (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜' E (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)))) (Module.toMulActionWithZero.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5) _inst_6)))) p)
 but is expected to have type
-  forall (𝕜 : Type.{u1}) {E : Type.{u2}} {𝕜' : Type.{u3}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : SeminormedRing.{u3} 𝕜'] [_inst_3 : NormedAlgebra.{u1, u3} 𝕜 𝕜' _inst_1 _inst_2] [_inst_4 : NormOneClass.{u3} 𝕜' (SeminormedRing.toNorm.{u3} 𝕜' _inst_2) (NonAssocRing.toOne.{u3} 𝕜' (Ring.toNonAssocRing.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))] [_inst_5 : AddCommGroup.{u2} E] [_inst_6 : Module.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)] [_inst_7 : SMul.{u1, u2} 𝕜 E] [_inst_8 : IsScalarTower.{u1, u3, u2} 𝕜 𝕜' E (Algebra.toSMul.{u1, u3} 𝕜 𝕜' (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))) (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (NormedAlgebra.toAlgebra.{u1, u3} 𝕜 𝕜' _inst_1 _inst_2 _inst_3)) (SMulZeroClass.toSMul.{u3, u2} 𝕜' E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜' E (MonoidWithZero.toZero.{u3} 𝕜' (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜' E (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (Module.toMulActionWithZero.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5) _inst_6)))) _inst_7] (p : Seminorm.{u3, u2} 𝕜' E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_5) (SMulZeroClass.toSMul.{u3, u2} 𝕜' E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜' E (MonoidWithZero.toZero.{u3} 𝕜' (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜' E (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (Module.toMulActionWithZero.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5) _inst_6))))), Eq.{succ u2} (E -> Real -> (Set.{u2} E)) (Seminorm.ball.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) _inst_5 _inst_7 (Seminorm.restrictScalars.{u1, u2, u3} 𝕜 E 𝕜' _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 p)) (Seminorm.ball.{u3, u2} 𝕜' E _inst_2 _inst_5 (SMulZeroClass.toSMul.{u3, u2} 𝕜' E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜' E (MonoidWithZero.toZero.{u3} 𝕜' (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜' E (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (Module.toMulActionWithZero.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5) _inst_6)))) p)
+  forall (𝕜 : Type.{u1}) {E : Type.{u2}} {𝕜' : Type.{u3}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : SeminormedRing.{u3} 𝕜'] [_inst_3 : NormedAlgebra.{u1, u3} 𝕜 𝕜' _inst_1 _inst_2] [_inst_4 : NormOneClass.{u3} 𝕜' (SeminormedRing.toNorm.{u3} 𝕜' _inst_2) (Semiring.toOne.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))] [_inst_5 : AddCommGroup.{u2} E] [_inst_6 : Module.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)] [_inst_7 : SMul.{u1, u2} 𝕜 E] [_inst_8 : IsScalarTower.{u1, u3, u2} 𝕜 𝕜' E (Algebra.toSMul.{u1, u3} 𝕜 𝕜' (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))) (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (NormedAlgebra.toAlgebra.{u1, u3} 𝕜 𝕜' _inst_1 _inst_2 _inst_3)) (SMulZeroClass.toSMul.{u3, u2} 𝕜' E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜' E (MonoidWithZero.toZero.{u3} 𝕜' (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜' E (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (Module.toMulActionWithZero.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5) _inst_6)))) _inst_7] (p : Seminorm.{u3, u2} 𝕜' E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_5) (SMulZeroClass.toSMul.{u3, u2} 𝕜' E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜' E (MonoidWithZero.toZero.{u3} 𝕜' (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜' E (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (Module.toMulActionWithZero.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5) _inst_6))))), Eq.{succ u2} (E -> Real -> (Set.{u2} E)) (Seminorm.ball.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) _inst_5 _inst_7 (Seminorm.restrictScalars.{u1, u2, u3} 𝕜 E 𝕜' _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 p)) (Seminorm.ball.{u3, u2} 𝕜' E _inst_2 _inst_5 (SMulZeroClass.toSMul.{u3, u2} 𝕜' E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜' E (MonoidWithZero.toZero.{u3} 𝕜' (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜' E (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (Module.toMulActionWithZero.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5) _inst_6)))) p)
 Case conversion may be inaccurate. Consider using '#align seminorm.restrict_scalars_ball Seminorm.restrictScalars_ballₓ'. -/
 @[simp]
 theorem restrictScalars_ball (p : Seminorm 𝕜' E) : (p.restrictScalars 𝕜).ball = p.ball :=
@@ -1772,7 +1772,7 @@ theorem restrictScalars_ball (p : Seminorm 𝕜' E) : (p.restrictScalars 𝕜).b
 lean 3 declaration is
   forall (𝕜 : Type.{u1}) {E : Type.{u2}} {𝕜' : Type.{u3}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : SeminormedRing.{u3} 𝕜'] [_inst_3 : NormedAlgebra.{u1, u3} 𝕜 𝕜' _inst_1 _inst_2] [_inst_4 : NormOneClass.{u3} 𝕜' (SeminormedRing.toHasNorm.{u3} 𝕜' _inst_2) (AddMonoidWithOne.toOne.{u3} 𝕜' (AddGroupWithOne.toAddMonoidWithOne.{u3} 𝕜' (AddCommGroupWithOne.toAddGroupWithOne.{u3} 𝕜' (Ring.toAddCommGroupWithOne.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))))] [_inst_5 : AddCommGroup.{u2} E] [_inst_6 : Module.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)] [_inst_7 : SMul.{u1, u2} 𝕜 E] [_inst_8 : IsScalarTower.{u1, u3, u2} 𝕜 𝕜' E (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 𝕜' (AddZeroClass.toHasZero.{u3} 𝕜' (AddMonoid.toAddZeroClass.{u3} 𝕜' (AddCommMonoid.toAddMonoid.{u3} 𝕜' (AddCommGroup.toAddCommMonoid.{u3} 𝕜' (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜' (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜' (SeminormedRing.toNonUnitalSeminormedRing.{u3} 𝕜' _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 𝕜' (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u3} 𝕜' (AddMonoid.toAddZeroClass.{u3} 𝕜' (AddCommMonoid.toAddMonoid.{u3} 𝕜' (AddCommGroup.toAddCommMonoid.{u3} 𝕜' (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜' (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜' (SeminormedRing.toNonUnitalSeminormedRing.{u3} 𝕜' _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 𝕜' (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u3} 𝕜' (AddMonoid.toAddZeroClass.{u3} 𝕜' (AddCommMonoid.toAddMonoid.{u3} 𝕜' (AddCommGroup.toAddCommMonoid.{u3} 𝕜' (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜' (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜' (SeminormedRing.toNonUnitalSeminormedRing.{u3} 𝕜' _inst_2))))))) (Module.toMulActionWithZero.{u1, u3} 𝕜 𝕜' (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u3} 𝕜' (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜' (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜' (SeminormedRing.toNonUnitalSeminormedRing.{u3} 𝕜' _inst_2)))) (NormedSpace.toModule.{u1, u3} 𝕜 𝕜' _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜' (SeminormedRing.toNonUnitalSeminormedRing.{u3} 𝕜' _inst_2)) (NormedAlgebra.toNormedSpace.{u1, u3} 𝕜 𝕜' _inst_1 _inst_2 _inst_3)))))) (SMulZeroClass.toHasSmul.{u3, u2} 𝕜' E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)))) (SMulWithZero.toSmulZeroClass.{u3, u2} 𝕜' E (MulZeroClass.toHasZero.{u3} 𝕜' (MulZeroOneClass.toMulZeroClass.{u3} 𝕜' (MonoidWithZero.toMulZeroOneClass.{u3} 𝕜' (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜' E (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)))) (Module.toMulActionWithZero.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5) _inst_6)))) _inst_7] (p : Seminorm.{u3, u2} 𝕜' E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_5) (SMulZeroClass.toHasSmul.{u3, u2} 𝕜' E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)))) (SMulWithZero.toSmulZeroClass.{u3, u2} 𝕜' E (MulZeroClass.toHasZero.{u3} 𝕜' (MulZeroOneClass.toMulZeroClass.{u3} 𝕜' (MonoidWithZero.toMulZeroOneClass.{u3} 𝕜' (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜' E (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)))) (Module.toMulActionWithZero.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5) _inst_6))))), Eq.{succ u2} (E -> Real -> (Set.{u2} E)) (Seminorm.closedBall.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) _inst_5 _inst_7 (Seminorm.restrictScalars.{u1, u2, u3} 𝕜 E 𝕜' _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 p)) (Seminorm.closedBall.{u3, u2} 𝕜' E _inst_2 _inst_5 (SMulZeroClass.toHasSmul.{u3, u2} 𝕜' E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)))) (SMulWithZero.toSmulZeroClass.{u3, u2} 𝕜' E (MulZeroClass.toHasZero.{u3} 𝕜' (MulZeroOneClass.toMulZeroClass.{u3} 𝕜' (MonoidWithZero.toMulZeroOneClass.{u3} 𝕜' (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜' E (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)))) (Module.toMulActionWithZero.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5) _inst_6)))) p)
 but is expected to have type
-  forall (𝕜 : Type.{u1}) {E : Type.{u2}} {𝕜' : Type.{u3}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : SeminormedRing.{u3} 𝕜'] [_inst_3 : NormedAlgebra.{u1, u3} 𝕜 𝕜' _inst_1 _inst_2] [_inst_4 : NormOneClass.{u3} 𝕜' (SeminormedRing.toNorm.{u3} 𝕜' _inst_2) (NonAssocRing.toOne.{u3} 𝕜' (Ring.toNonAssocRing.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))] [_inst_5 : AddCommGroup.{u2} E] [_inst_6 : Module.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)] [_inst_7 : SMul.{u1, u2} 𝕜 E] [_inst_8 : IsScalarTower.{u1, u3, u2} 𝕜 𝕜' E (Algebra.toSMul.{u1, u3} 𝕜 𝕜' (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))) (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (NormedAlgebra.toAlgebra.{u1, u3} 𝕜 𝕜' _inst_1 _inst_2 _inst_3)) (SMulZeroClass.toSMul.{u3, u2} 𝕜' E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜' E (MonoidWithZero.toZero.{u3} 𝕜' (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜' E (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (Module.toMulActionWithZero.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5) _inst_6)))) _inst_7] (p : Seminorm.{u3, u2} 𝕜' E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_5) (SMulZeroClass.toSMul.{u3, u2} 𝕜' E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜' E (MonoidWithZero.toZero.{u3} 𝕜' (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜' E (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (Module.toMulActionWithZero.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5) _inst_6))))), Eq.{succ u2} (E -> Real -> (Set.{u2} E)) (Seminorm.closedBall.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) _inst_5 _inst_7 (Seminorm.restrictScalars.{u1, u2, u3} 𝕜 E 𝕜' _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 p)) (Seminorm.closedBall.{u3, u2} 𝕜' E _inst_2 _inst_5 (SMulZeroClass.toSMul.{u3, u2} 𝕜' E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜' E (MonoidWithZero.toZero.{u3} 𝕜' (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜' E (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (Module.toMulActionWithZero.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5) _inst_6)))) p)
+  forall (𝕜 : Type.{u1}) {E : Type.{u2}} {𝕜' : Type.{u3}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : SeminormedRing.{u3} 𝕜'] [_inst_3 : NormedAlgebra.{u1, u3} 𝕜 𝕜' _inst_1 _inst_2] [_inst_4 : NormOneClass.{u3} 𝕜' (SeminormedRing.toNorm.{u3} 𝕜' _inst_2) (Semiring.toOne.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))] [_inst_5 : AddCommGroup.{u2} E] [_inst_6 : Module.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)] [_inst_7 : SMul.{u1, u2} 𝕜 E] [_inst_8 : IsScalarTower.{u1, u3, u2} 𝕜 𝕜' E (Algebra.toSMul.{u1, u3} 𝕜 𝕜' (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))) (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (NormedAlgebra.toAlgebra.{u1, u3} 𝕜 𝕜' _inst_1 _inst_2 _inst_3)) (SMulZeroClass.toSMul.{u3, u2} 𝕜' E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜' E (MonoidWithZero.toZero.{u3} 𝕜' (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜' E (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (Module.toMulActionWithZero.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5) _inst_6)))) _inst_7] (p : Seminorm.{u3, u2} 𝕜' E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_5) (SMulZeroClass.toSMul.{u3, u2} 𝕜' E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜' E (MonoidWithZero.toZero.{u3} 𝕜' (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜' E (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (Module.toMulActionWithZero.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5) _inst_6))))), Eq.{succ u2} (E -> Real -> (Set.{u2} E)) (Seminorm.closedBall.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) _inst_5 _inst_7 (Seminorm.restrictScalars.{u1, u2, u3} 𝕜 E 𝕜' _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 p)) (Seminorm.closedBall.{u3, u2} 𝕜' E _inst_2 _inst_5 (SMulZeroClass.toSMul.{u3, u2} 𝕜' E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜' E (MonoidWithZero.toZero.{u3} 𝕜' (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜' E (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (Module.toMulActionWithZero.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5) _inst_6)))) p)
 Case conversion may be inaccurate. Consider using '#align seminorm.restrict_scalars_closed_ball Seminorm.restrictScalars_closedBallₓ'. -/
 @[simp]
 theorem restrictScalars_closedBall (p : Seminorm 𝕜' E) :

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

@@ -94,15 +94,15 @@ def Seminorm.of [SeminormedRing 𝕜] [AddCommGroup E] [Module 𝕜 E] (f : E 
   neg' x := by rw [← neg_one_smul 𝕜, smul, norm_neg, ← smul, one_smul]
 #align seminorm.of Seminorm.of
 
-/- warning: seminorm.of_smul_le -> Seminorm.ofSmulLe is a dubious translation:
+/- warning: seminorm.of_smul_le -> Seminorm.ofSMulLe is a dubious translation:
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (f : E -> Real), (Eq.{1} Real (f (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))))))))) (OfNat.ofNat.{0} Real 0 (OfNat.mk.{0} Real 0 (Zero.zero.{0} Real Real.hasZero)))) -> (forall (x : E) (y : E), LE.le.{0} Real Real.hasLe (f (HAdd.hAdd.{u2, u2, u2} E E E (instHAdd.{u2} E (AddZeroClass.toHasAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)))))) x y)) (HAdd.hAdd.{0, 0, 0} Real Real Real (instHAdd.{0} Real Real.hasAdd) (f x) (f y))) -> (forall (r : 𝕜) (x : E), LE.le.{0} Real Real.hasLe (f (SMul.smul.{u1, u2} 𝕜 E (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) r x)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) (Norm.norm.{u1} 𝕜 (NormedField.toHasNorm.{u1} 𝕜 _inst_1) r) (f x))) -> (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))
 but is expected to have type
   forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (f : E -> Real), (Eq.{1} Real (f (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2)))))))) (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal))) -> (forall (x : E) (y : E), LE.le.{0} Real Real.instLEReal (f (HAdd.hAdd.{u2, u2, u2} E E E (instHAdd.{u2} E (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)))))) x y)) (HAdd.hAdd.{0, 0, 0} Real Real Real (instHAdd.{0} Real Real.instAddReal) (f x) (f y))) -> (forall (r : 𝕜) (x : E), LE.le.{0} Real Real.instLEReal (f (HSMul.hSMul.{u1, u2, u2} 𝕜 E E (instHSMul.{u1, u2} 𝕜 E (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) r x)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (Norm.norm.{u1} 𝕜 (NormedField.toNorm.{u1} 𝕜 _inst_1) r) (f x))) -> (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))
-Case conversion may be inaccurate. Consider using '#align seminorm.of_smul_le Seminorm.ofSmulLeₓ'. -/
+Case conversion may be inaccurate. Consider using '#align seminorm.of_smul_le Seminorm.ofSMulLeₓ'. -/
 /-- Alternative constructor for a `seminorm` over a normed field `𝕜` that only assumes `f 0 = 0`
 and an inequality for the scalar multiplication. -/
-def Seminorm.ofSmulLe [NormedField 𝕜] [AddCommGroup E] [Module 𝕜 E] (f : E → ℝ) (map_zero : f 0 = 0)
+def Seminorm.ofSMulLe [NormedField 𝕜] [AddCommGroup E] [Module 𝕜 E] (f : E → ℝ) (map_zero : f 0 = 0)
     (add_le : ∀ x y, f (x + y) ≤ f x + f y) (smul_le : ∀ (r : 𝕜) (x), f (r • x) ≤ ‖r‖ * f x) :
     Seminorm 𝕜 E :=
   Seminorm.of f add_le fun r x =>
@@ -116,7 +116,7 @@ def Seminorm.ofSmulLe [NormedField 𝕜] [AddCommGroup E] [Module 𝕜 E] (f : E
     rw [norm_inv] at smul_le
     convert smul_le
     simp [h]
-#align seminorm.of_smul_le Seminorm.ofSmulLe
+#align seminorm.of_smul_le Seminorm.ofSMulLe
 
 end Of
 
@@ -134,8 +134,8 @@ section SMul
 
 variable [SMul 𝕜 E]
 
-#print Seminorm.seminormClass /-
-instance seminormClass : SeminormClass (Seminorm 𝕜 E) 𝕜 E
+#print Seminorm.instSeminormClass /-
+instance instSeminormClass : SeminormClass (Seminorm 𝕜 E) 𝕜 E
     where
   coe f := f.toFun
   coe_injective' f g h := by cases f <;> cases g <;> congr
@@ -143,7 +143,7 @@ instance seminormClass : SeminormClass (Seminorm 𝕜 E) 𝕜 E
   map_add_le_add f := f.add_le'
   map_neg_eq_map f := f.neg'
   map_smul_eq_mul f := f.smul'
-#align seminorm.seminorm_class Seminorm.seminormClass
+#align seminorm.seminorm_class Seminorm.instSeminormClass
 -/
 
 /-- Helper instance for when there's too many metavariables to apply `fun_like.has_coe_to_fun`. -/
@@ -154,7 +154,7 @@ instance : CoeFun (Seminorm 𝕜 E) fun _ => E → ℝ :=
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddGroup.{u2} E] [_inst_3 : SMul.{u1, u2} 𝕜 E] {p : Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3} {q : Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3}, (forall (x : E), Eq.{1} Real (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (fun (_x : Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) p x) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (fun (_x : Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) q x)) -> (Eq.{succ u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) p q)
 but is expected to have type
-  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_2 : AddGroup.{u1} E] [_inst_3 : SMul.{u2, u1} 𝕜 E] {p : Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3} {q : Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3}, (forall (x : E), Eq.{1} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) x) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E _inst_2)))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real _inst_2 Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) 𝕜 E _inst_1 _inst_2 _inst_3 (Seminorm.seminormClass.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)))) p x) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E _inst_2)))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real _inst_2 Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) 𝕜 E _inst_1 _inst_2 _inst_3 (Seminorm.seminormClass.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)))) q x)) -> (Eq.{succ u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) p q)
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_2 : AddGroup.{u1} E] [_inst_3 : SMul.{u2, u1} 𝕜 E] {p : Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3} {q : Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3}, (forall (x : E), Eq.{1} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) x) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E _inst_2)))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real _inst_2 Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) 𝕜 E _inst_1 _inst_2 _inst_3 (Seminorm.instSeminormClass.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)))) p x) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E _inst_2)))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real _inst_2 Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) 𝕜 E _inst_1 _inst_2 _inst_3 (Seminorm.instSeminormClass.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)))) q x)) -> (Eq.{succ u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) p q)
 Case conversion may be inaccurate. Consider using '#align seminorm.ext Seminorm.extₓ'. -/
 @[ext]
 theorem ext {p q : Seminorm 𝕜 E} (h : ∀ x, (p : E → ℝ) x = q x) : p = q :=
@@ -168,7 +168,7 @@ instance : Zero (Seminorm 𝕜 E) :=
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddGroup.{u2} E] [_inst_3 : SMul.{u1, u2} 𝕜 E], Eq.{succ u2} (E -> Real) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (fun (_x : Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (OfNat.ofNat.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) 0 (OfNat.mk.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) 0 (Zero.zero.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.hasZero.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))))) (OfNat.ofNat.{u2} (E -> Real) 0 (OfNat.mk.{u2} (E -> Real) 0 (Zero.zero.{u2} (E -> Real) (Pi.instZero.{u2, 0} E (fun (ᾰ : E) => Real) (fun (i : E) => Real.hasZero)))))
 but is expected to have type
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddGroup.{u2} E] [_inst_3 : SMul.{u1, u2} 𝕜 E], Eq.{succ u2} (forall (ᾰ : E), (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) ᾰ) (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E _inst_2)))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) E Real _inst_2 Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) 𝕜 E _inst_1 _inst_2 _inst_3 (Seminorm.seminormClass.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)))) (OfNat.ofNat.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) 0 (Zero.toOfNat0.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.instZeroSeminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)))) (OfNat.ofNat.{u2} (forall (ᾰ : E), (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) ᾰ) 0 (Zero.toOfNat0.{u2} (forall (a : E), (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) a) (Pi.instZero.{u2, 0} E (fun (a : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) a) (fun (i : E) => Real.instZeroReal))))
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddGroup.{u2} E] [_inst_3 : SMul.{u1, u2} 𝕜 E], Eq.{succ u2} (forall (ᾰ : E), (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) ᾰ) (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E _inst_2)))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) E Real _inst_2 Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) 𝕜 E _inst_1 _inst_2 _inst_3 (Seminorm.instSeminormClass.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)))) (OfNat.ofNat.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) 0 (Zero.toOfNat0.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.instZero.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)))) (OfNat.ofNat.{u2} (forall (ᾰ : E), (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) ᾰ) 0 (Zero.toOfNat0.{u2} (forall (a : E), (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) a) (Pi.instZero.{u2, 0} E (fun (a : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) a) (fun (i : E) => Real.instZeroReal))))
 Case conversion may be inaccurate. Consider using '#align seminorm.coe_zero Seminorm.coe_zeroₓ'. -/
 @[simp]
 theorem coe_zero : ⇑(0 : Seminorm 𝕜 E) = 0 :=
@@ -179,7 +179,7 @@ theorem coe_zero : ⇑(0 : Seminorm 𝕜 E) = 0 :=
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddGroup.{u2} E] [_inst_3 : SMul.{u1, u2} 𝕜 E] (x : E), Eq.{1} Real (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (fun (_x : Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (OfNat.ofNat.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) 0 (OfNat.mk.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) 0 (Zero.zero.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.hasZero.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)))) x) (OfNat.ofNat.{0} Real 0 (OfNat.mk.{0} Real 0 (Zero.zero.{0} Real Real.hasZero)))
 but is expected to have type
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddGroup.{u2} E] [_inst_3 : SMul.{u1, u2} 𝕜 E] (x : E), Eq.{1} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) x) (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E _inst_2)))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) E Real _inst_2 Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) 𝕜 E _inst_1 _inst_2 _inst_3 (Seminorm.seminormClass.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)))) (OfNat.ofNat.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) 0 (Zero.toOfNat0.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.instZeroSeminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) x) (OfNat.ofNat.{0} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) x) 0 (Zero.toOfNat0.{0} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) x) Real.instZeroReal))
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddGroup.{u2} E] [_inst_3 : SMul.{u1, u2} 𝕜 E] (x : E), Eq.{1} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) x) (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E _inst_2)))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) E Real _inst_2 Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) 𝕜 E _inst_1 _inst_2 _inst_3 (Seminorm.instSeminormClass.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)))) (OfNat.ofNat.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) 0 (Zero.toOfNat0.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.instZero.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) x) (OfNat.ofNat.{0} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) x) 0 (Zero.toOfNat0.{0} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) x) Real.instZeroReal))
 Case conversion may be inaccurate. Consider using '#align seminorm.zero_apply Seminorm.zero_applyₓ'. -/
 @[simp]
 theorem zero_apply (x : E) : (0 : Seminorm 𝕜 E) x = 0 :=
@@ -209,7 +209,7 @@ instance [SMul R ℝ] [SMul R ℝ≥0] [IsScalarTower R ℝ≥0 ℝ] [SMul R' 
 lean 3 declaration is
   forall {R : Type.{u1}} {𝕜 : Type.{u2}} {E : Type.{u3}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_2 : AddGroup.{u3} E] [_inst_3 : SMul.{u2, u3} 𝕜 E] [_inst_4 : SMul.{u1, 0} R Real] [_inst_5 : SMul.{u1, 0} R NNReal] [_inst_6 : IsScalarTower.{u1, 0, 0} R NNReal Real _inst_5 (SMulZeroClass.toHasSmul.{0, 0} NNReal Real (AddZeroClass.toHasZero.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real Real.addCommMonoid))) (SMulWithZero.toSmulZeroClass.{0, 0} NNReal Real (MulZeroClass.toHasZero.{0} NNReal (MulZeroOneClass.toMulZeroClass.{0} NNReal (MonoidWithZero.toMulZeroOneClass.{0} NNReal (Semiring.toMonoidWithZero.{0} NNReal NNReal.semiring)))) (AddZeroClass.toHasZero.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real Real.addCommMonoid))) (MulActionWithZero.toSMulWithZero.{0, 0} NNReal Real (Semiring.toMonoidWithZero.{0} NNReal NNReal.semiring) (AddZeroClass.toHasZero.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real Real.addCommMonoid))) (Module.toMulActionWithZero.{0, 0} NNReal Real NNReal.semiring Real.addCommMonoid (NNReal.module.{0} Real Real.addCommMonoid Real.module))))) _inst_4] (r : R) (p : Seminorm.{u2, u3} 𝕜 E _inst_1 _inst_2 _inst_3), Eq.{succ u3} (E -> Real) (coeFn.{succ u3, succ u3} (Seminorm.{u2, u3} 𝕜 E _inst_1 _inst_2 _inst_3) (fun (_x : Seminorm.{u2, u3} 𝕜 E _inst_1 _inst_2 _inst_3) => E -> Real) (Seminorm.hasCoeToFun.{u2, u3} 𝕜 E _inst_1 _inst_2 _inst_3) (SMul.smul.{u1, u3} R (Seminorm.{u2, u3} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.hasSmul.{u1, u2, u3} R 𝕜 E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6) r p)) (SMul.smul.{u1, u3} R (E -> Real) (Function.hasSMul.{u3, u1, 0} E R Real _inst_4) r (coeFn.{succ u3, succ u3} (Seminorm.{u2, u3} 𝕜 E _inst_1 _inst_2 _inst_3) (fun (_x : Seminorm.{u2, u3} 𝕜 E _inst_1 _inst_2 _inst_3) => E -> Real) (Seminorm.hasCoeToFun.{u2, u3} 𝕜 E _inst_1 _inst_2 _inst_3) p))
 but is expected to have type
-  forall {R : Type.{u3}} {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_2 : AddGroup.{u1} E] [_inst_3 : SMul.{u2, u1} 𝕜 E] [_inst_4 : SMul.{u3, 0} R Real] [_inst_5 : SMul.{u3, 0} R NNReal] [_inst_6 : IsScalarTower.{u3, 0, 0} R NNReal Real _inst_5 (Algebra.toSMul.{0, 0} NNReal Real instNNRealCommSemiring Real.semiring (NNReal.instAlgebraNNRealInstNNRealCommSemiring.{0} Real Real.semiring (NormedAlgebra.toAlgebra.{0, 0} Real Real Real.normedField (SeminormedCommRing.toSeminormedRing.{0} Real (NormedCommRing.toSeminormedCommRing.{0} Real Real.normedCommRing)) (NormedAlgebra.id.{0} Real Real.normedField)))) _inst_4] (r : R) (p : Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3), Eq.{succ u1} (forall (ᾰ : E), (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) ᾰ) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E _inst_2)))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real _inst_2 Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) 𝕜 E _inst_1 _inst_2 _inst_3 (Seminorm.seminormClass.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)))) (HSMul.hSMul.{u3, u1, u1} R (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (instHSMul.{u3, u1} R (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.smul.{u3, u2, u1} R 𝕜 E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6)) r p)) (HSMul.hSMul.{u3, u1, u1} R (forall (a : E), (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) a) (forall (ᾰ : E), (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) ᾰ) (instHSMul.{u3, u1} R (forall (a : E), (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) a) (Pi.instSMul.{u1, 0, u3} E R (fun (a : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) a) (fun (i : E) => _inst_4))) r (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E _inst_2)))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real _inst_2 Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) 𝕜 E _inst_1 _inst_2 _inst_3 (Seminorm.seminormClass.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)))) p))
+  forall {R : Type.{u3}} {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_2 : AddGroup.{u1} E] [_inst_3 : SMul.{u2, u1} 𝕜 E] [_inst_4 : SMul.{u3, 0} R Real] [_inst_5 : SMul.{u3, 0} R NNReal] [_inst_6 : IsScalarTower.{u3, 0, 0} R NNReal Real _inst_5 (Algebra.toSMul.{0, 0} NNReal Real instNNRealCommSemiring Real.semiring (NNReal.instAlgebraNNRealInstNNRealCommSemiring.{0} Real Real.semiring (NormedAlgebra.toAlgebra.{0, 0} Real Real Real.normedField (SeminormedCommRing.toSeminormedRing.{0} Real (NormedCommRing.toSeminormedCommRing.{0} Real Real.normedCommRing)) (NormedAlgebra.id.{0} Real Real.normedField)))) _inst_4] (r : R) (p : Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3), Eq.{succ u1} (forall (ᾰ : E), (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) ᾰ) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E _inst_2)))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real _inst_2 Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) 𝕜 E _inst_1 _inst_2 _inst_3 (Seminorm.instSeminormClass.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)))) (HSMul.hSMul.{u3, u1, u1} R (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (instHSMul.{u3, u1} R (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.instSMul.{u3, u2, u1} R 𝕜 E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6)) r p)) (HSMul.hSMul.{u3, u1, u1} R (forall (a : E), (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) a) (forall (ᾰ : E), (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) ᾰ) (instHSMul.{u3, u1} R (forall (a : E), (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) a) (Pi.instSMul.{u1, 0, u3} E R (fun (a : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) a) (fun (i : E) => _inst_4))) r (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E _inst_2)))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real _inst_2 Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) 𝕜 E _inst_1 _inst_2 _inst_3 (Seminorm.instSeminormClass.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)))) p))
 Case conversion may be inaccurate. Consider using '#align seminorm.coe_smul Seminorm.coe_smulₓ'. -/
 theorem coe_smul [SMul R ℝ] [SMul R ℝ≥0] [IsScalarTower R ℝ≥0 ℝ] (r : R) (p : Seminorm 𝕜 E) :
     ⇑(r • p) = r • p :=
@@ -220,7 +220,7 @@ theorem coe_smul [SMul R ℝ] [SMul R ℝ≥0] [IsScalarTower R ℝ≥0 ℝ] (r
 lean 3 declaration is
   forall {R : Type.{u1}} {𝕜 : Type.{u2}} {E : Type.{u3}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_2 : AddGroup.{u3} E] [_inst_3 : SMul.{u2, u3} 𝕜 E] [_inst_4 : SMul.{u1, 0} R Real] [_inst_5 : SMul.{u1, 0} R NNReal] [_inst_6 : IsScalarTower.{u1, 0, 0} R NNReal Real _inst_5 (SMulZeroClass.toHasSmul.{0, 0} NNReal Real (AddZeroClass.toHasZero.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real Real.addCommMonoid))) (SMulWithZero.toSmulZeroClass.{0, 0} NNReal Real (MulZeroClass.toHasZero.{0} NNReal (MulZeroOneClass.toMulZeroClass.{0} NNReal (MonoidWithZero.toMulZeroOneClass.{0} NNReal (Semiring.toMonoidWithZero.{0} NNReal NNReal.semiring)))) (AddZeroClass.toHasZero.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real Real.addCommMonoid))) (MulActionWithZero.toSMulWithZero.{0, 0} NNReal Real (Semiring.toMonoidWithZero.{0} NNReal NNReal.semiring) (AddZeroClass.toHasZero.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real Real.addCommMonoid))) (Module.toMulActionWithZero.{0, 0} NNReal Real NNReal.semiring Real.addCommMonoid (NNReal.module.{0} Real Real.addCommMonoid Real.module))))) _inst_4] (r : R) (p : Seminorm.{u2, u3} 𝕜 E _inst_1 _inst_2 _inst_3) (x : E), Eq.{1} Real (coeFn.{succ u3, succ u3} (Seminorm.{u2, u3} 𝕜 E _inst_1 _inst_2 _inst_3) (fun (_x : Seminorm.{u2, u3} 𝕜 E _inst_1 _inst_2 _inst_3) => E -> Real) (Seminorm.hasCoeToFun.{u2, u3} 𝕜 E _inst_1 _inst_2 _inst_3) (SMul.smul.{u1, u3} R (Seminorm.{u2, u3} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.hasSmul.{u1, u2, u3} R 𝕜 E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6) r p) x) (SMul.smul.{u1, 0} R Real _inst_4 r (coeFn.{succ u3, succ u3} (Seminorm.{u2, u3} 𝕜 E _inst_1 _inst_2 _inst_3) (fun (_x : Seminorm.{u2, u3} 𝕜 E _inst_1 _inst_2 _inst_3) => E -> Real) (Seminorm.hasCoeToFun.{u2, u3} 𝕜 E _inst_1 _inst_2 _inst_3) p x))
 but is expected to have type
-  forall {R : Type.{u3}} {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_2 : AddGroup.{u1} E] [_inst_3 : SMul.{u2, u1} 𝕜 E] [_inst_4 : SMul.{u3, 0} R Real] [_inst_5 : SMul.{u3, 0} R NNReal] [_inst_6 : IsScalarTower.{u3, 0, 0} R NNReal Real _inst_5 (Algebra.toSMul.{0, 0} NNReal Real instNNRealCommSemiring Real.semiring (NNReal.instAlgebraNNRealInstNNRealCommSemiring.{0} Real Real.semiring (NormedAlgebra.toAlgebra.{0, 0} Real Real Real.normedField (SeminormedCommRing.toSeminormedRing.{0} Real (NormedCommRing.toSeminormedCommRing.{0} Real Real.normedCommRing)) (NormedAlgebra.id.{0} Real Real.normedField)))) _inst_4] (r : R) (p : Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (x : E), Eq.{1} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) x) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E _inst_2)))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real _inst_2 Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) 𝕜 E _inst_1 _inst_2 _inst_3 (Seminorm.seminormClass.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)))) (HSMul.hSMul.{u3, u1, u1} R (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (instHSMul.{u3, u1} R (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.smul.{u3, u2, u1} R 𝕜 E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6)) r p) x) (HSMul.hSMul.{u3, 0, 0} R ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) x) ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) x) (instHSMul.{u3, 0} R ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) x) _inst_4) r (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E _inst_2)))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real _inst_2 Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) 𝕜 E _inst_1 _inst_2 _inst_3 (Seminorm.seminormClass.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)))) p x))
+  forall {R : Type.{u3}} {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_2 : AddGroup.{u1} E] [_inst_3 : SMul.{u2, u1} 𝕜 E] [_inst_4 : SMul.{u3, 0} R Real] [_inst_5 : SMul.{u3, 0} R NNReal] [_inst_6 : IsScalarTower.{u3, 0, 0} R NNReal Real _inst_5 (Algebra.toSMul.{0, 0} NNReal Real instNNRealCommSemiring Real.semiring (NNReal.instAlgebraNNRealInstNNRealCommSemiring.{0} Real Real.semiring (NormedAlgebra.toAlgebra.{0, 0} Real Real Real.normedField (SeminormedCommRing.toSeminormedRing.{0} Real (NormedCommRing.toSeminormedCommRing.{0} Real Real.normedCommRing)) (NormedAlgebra.id.{0} Real Real.normedField)))) _inst_4] (r : R) (p : Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (x : E), Eq.{1} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) x) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E _inst_2)))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real _inst_2 Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) 𝕜 E _inst_1 _inst_2 _inst_3 (Seminorm.instSeminormClass.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)))) (HSMul.hSMul.{u3, u1, u1} R (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (instHSMul.{u3, u1} R (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.instSMul.{u3, u2, u1} R 𝕜 E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6)) r p) x) (HSMul.hSMul.{u3, 0, 0} R ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) x) ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) x) (instHSMul.{u3, 0} R ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) x) _inst_4) r (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E _inst_2)))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real _inst_2 Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) 𝕜 E _inst_1 _inst_2 _inst_3 (Seminorm.instSeminormClass.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)))) p x))
 Case conversion may be inaccurate. Consider using '#align seminorm.smul_apply Seminorm.smul_applyₓ'. -/
 @[simp]
 theorem smul_apply [SMul R ℝ] [SMul R ℝ≥0] [IsScalarTower R ℝ≥0 ℝ] (r : R) (p : Seminorm 𝕜 E)
@@ -240,7 +240,7 @@ instance : Add (Seminorm 𝕜 E)
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddGroup.{u2} E] [_inst_3 : SMul.{u1, u2} 𝕜 E] (p : Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (q : Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3), Eq.{succ u2} (E -> Real) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (fun (_x : Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (HAdd.hAdd.{u2, u2, u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (instHAdd.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.hasAdd.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) p q)) (HAdd.hAdd.{u2, u2, u2} (E -> Real) (E -> Real) (E -> Real) (instHAdd.{u2} (E -> Real) (Pi.instAdd.{u2, 0} E (fun (ᾰ : E) => Real) (fun (i : E) => Real.hasAdd))) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (fun (_x : Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) p) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (fun (_x : Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) q))
 but is expected to have type
-  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_2 : AddGroup.{u1} E] [_inst_3 : SMul.{u2, u1} 𝕜 E] (p : Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (q : Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3), Eq.{succ u1} (forall (ᾰ : E), (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) ᾰ) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E _inst_2)))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real _inst_2 Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) 𝕜 E _inst_1 _inst_2 _inst_3 (Seminorm.seminormClass.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)))) (HAdd.hAdd.{u1, u1, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (instHAdd.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.instAddSeminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) p q)) (HAdd.hAdd.{u1, u1, u1} (forall (ᾰ : E), (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) ᾰ) (forall (ᾰ : E), (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) ᾰ) (forall (ᾰ : E), (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) ᾰ) (instHAdd.{u1} (forall (ᾰ : E), (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) ᾰ) (Pi.instAdd.{u1, 0} E (fun (ᾰ : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) ᾰ) (fun (i : E) => Real.instAddReal))) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E _inst_2)))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real _inst_2 Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) 𝕜 E _inst_1 _inst_2 _inst_3 (Seminorm.seminormClass.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)))) p) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E _inst_2)))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real _inst_2 Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) 𝕜 E _inst_1 _inst_2 _inst_3 (Seminorm.seminormClass.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)))) q))
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_2 : AddGroup.{u1} E] [_inst_3 : SMul.{u2, u1} 𝕜 E] (p : Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (q : Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3), Eq.{succ u1} (forall (ᾰ : E), (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) ᾰ) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E _inst_2)))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real _inst_2 Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) 𝕜 E _inst_1 _inst_2 _inst_3 (Seminorm.instSeminormClass.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)))) (HAdd.hAdd.{u1, u1, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (instHAdd.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.instAdd.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) p q)) (HAdd.hAdd.{u1, u1, u1} (forall (ᾰ : E), (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) ᾰ) (forall (ᾰ : E), (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) ᾰ) (forall (ᾰ : E), (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) ᾰ) (instHAdd.{u1} (forall (ᾰ : E), (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) ᾰ) (Pi.instAdd.{u1, 0} E (fun (ᾰ : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) ᾰ) (fun (i : E) => Real.instAddReal))) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E _inst_2)))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real _inst_2 Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) 𝕜 E _inst_1 _inst_2 _inst_3 (Seminorm.instSeminormClass.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)))) p) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E _inst_2)))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real _inst_2 Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) 𝕜 E _inst_1 _inst_2 _inst_3 (Seminorm.instSeminormClass.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)))) q))
 Case conversion may be inaccurate. Consider using '#align seminorm.coe_add Seminorm.coe_addₓ'. -/
 theorem coe_add (p q : Seminorm 𝕜 E) : ⇑(p + q) = p + q :=
   rfl
@@ -250,7 +250,7 @@ theorem coe_add (p q : Seminorm 𝕜 E) : ⇑(p + q) = p + q :=
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddGroup.{u2} E] [_inst_3 : SMul.{u1, u2} 𝕜 E] (p : Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (q : Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (x : E), Eq.{1} Real (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (fun (_x : Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (HAdd.hAdd.{u2, u2, u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (instHAdd.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.hasAdd.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) p q) x) (HAdd.hAdd.{0, 0, 0} Real Real Real (instHAdd.{0} Real Real.hasAdd) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (fun (_x : Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) p x) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (fun (_x : Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) q x))
 but is expected to have type
-  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_2 : AddGroup.{u1} E] [_inst_3 : SMul.{u2, u1} 𝕜 E] (p : Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (q : Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (x : E), Eq.{1} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) x) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E _inst_2)))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real _inst_2 Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) 𝕜 E _inst_1 _inst_2 _inst_3 (Seminorm.seminormClass.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)))) (HAdd.hAdd.{u1, u1, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (instHAdd.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.instAddSeminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) p q) x) (HAdd.hAdd.{0, 0, 0} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) x) ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) x) ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) x) (instHAdd.{0} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) x) Real.instAddReal) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E _inst_2)))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real _inst_2 Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) 𝕜 E _inst_1 _inst_2 _inst_3 (Seminorm.seminormClass.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)))) p x) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E _inst_2)))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real _inst_2 Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) 𝕜 E _inst_1 _inst_2 _inst_3 (Seminorm.seminormClass.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)))) q x))
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_2 : AddGroup.{u1} E] [_inst_3 : SMul.{u2, u1} 𝕜 E] (p : Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (q : Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (x : E), Eq.{1} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) x) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E _inst_2)))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real _inst_2 Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) 𝕜 E _inst_1 _inst_2 _inst_3 (Seminorm.instSeminormClass.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)))) (HAdd.hAdd.{u1, u1, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (instHAdd.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.instAdd.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) p q) x) (HAdd.hAdd.{0, 0, 0} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) x) ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) x) ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) x) (instHAdd.{0} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) x) Real.instAddReal) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E _inst_2)))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real _inst_2 Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) 𝕜 E _inst_1 _inst_2 _inst_3 (Seminorm.instSeminormClass.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)))) p x) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E _inst_2)))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real _inst_2 Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) 𝕜 E _inst_1 _inst_2 _inst_3 (Seminorm.instSeminormClass.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)))) q x))
 Case conversion may be inaccurate. Consider using '#align seminorm.add_apply Seminorm.add_applyₓ'. -/
 @[simp]
 theorem add_apply (p q : Seminorm 𝕜 E) (x : E) : (p + q) x = p x + q x :=
@@ -273,7 +273,7 @@ variable (𝕜 E)
 lean 3 declaration is
   forall (𝕜 : Type.{u1}) (E : Type.{u2}) [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddGroup.{u2} E] [_inst_3 : SMul.{u1, u2} 𝕜 E], AddMonoidHom.{u2, u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (E -> Real) (AddMonoid.toAddZeroClass.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.addMonoid.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (Pi.addZeroClass.{u2, 0} E (fun (ᾰ : E) => Real) (fun (i : E) => AddMonoid.toAddZeroClass.{0} Real Real.addMonoid))
 but is expected to have type
-  forall (𝕜 : Type.{u1}) (E : Type.{u2}) [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddGroup.{u2} E] [_inst_3 : SMul.{u1, u2} 𝕜 E], AddMonoidHom.{u2, u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (E -> Real) (AddMonoid.toAddZeroClass.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.instAddMonoidSeminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (Pi.addZeroClass.{u2, 0} E (fun (ᾰ : E) => Real) (fun (i : E) => AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal))
+  forall (𝕜 : Type.{u1}) (E : Type.{u2}) [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddGroup.{u2} E] [_inst_3 : SMul.{u1, u2} 𝕜 E], AddMonoidHom.{u2, u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (E -> Real) (AddMonoid.toAddZeroClass.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.instAddMonoid.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (Pi.addZeroClass.{u2, 0} E (fun (ᾰ : E) => Real) (fun (i : E) => AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal))
 Case conversion may be inaccurate. Consider using '#align seminorm.coe_fn_add_monoid_hom Seminorm.coeFnAddMonoidHomₓ'. -/
 /-- `coe_fn` as an `add_monoid_hom`. Helper definition for showing that `seminorm 𝕜 E` is
 a module. -/
@@ -286,7 +286,7 @@ def coeFnAddMonoidHom : AddMonoidHom (Seminorm 𝕜 E) (E → ℝ) :=
 lean 3 declaration is
   forall (𝕜 : Type.{u1}) (E : Type.{u2}) [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddGroup.{u2} E] [_inst_3 : SMul.{u1, u2} 𝕜 E], Function.Injective.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (E -> Real) (coeFn.{succ u2, succ u2} (AddMonoidHom.{u2, u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (E -> Real) (AddMonoid.toAddZeroClass.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.addMonoid.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (Pi.addZeroClass.{u2, 0} E (fun (ᾰ : E) => Real) (fun (i : E) => AddMonoid.toAddZeroClass.{0} Real Real.addMonoid))) (fun (_x : AddMonoidHom.{u2, u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (E -> Real) (AddMonoid.toAddZeroClass.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.addMonoid.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (Pi.addZeroClass.{u2, 0} E (fun (ᾰ : E) => Real) (fun (i : E) => AddMonoid.toAddZeroClass.{0} Real Real.addMonoid))) => (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) -> E -> Real) (AddMonoidHom.hasCoeToFun.{u2, u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (E -> Real) (AddMonoid.toAddZeroClass.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.addMonoid.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (Pi.addZeroClass.{u2, 0} E (fun (ᾰ : E) => Real) (fun (i : E) => AddMonoid.toAddZeroClass.{0} Real Real.addMonoid))) (Seminorm.coeFnAddMonoidHom.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))
 but is expected to have type
-  forall (𝕜 : Type.{u1}) (E : Type.{u2}) [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddGroup.{u2} E] [_inst_3 : SMul.{u1, u2} 𝕜 E], Function.Injective.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (E -> Real) (FunLike.coe.{succ u2, succ u2, succ u2} (AddMonoidHom.{u2, u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (E -> Real) (AddMonoid.toAddZeroClass.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.instAddMonoidSeminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (Pi.addZeroClass.{u2, 0} E (fun (a._@.Mathlib.Analysis.Seminorm._hyg.2053 : E) => Real) (fun (i : E) => AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal))) (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (fun (_x : Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) => E -> Real) _x) (AddHomClass.toFunLike.{u2, u2, u2} (AddMonoidHom.{u2, u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (E -> Real) (AddMonoid.toAddZeroClass.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.instAddMonoidSeminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (Pi.addZeroClass.{u2, 0} E (fun (a._@.Mathlib.Analysis.Seminorm._hyg.2053 : E) => Real) (fun (i : E) => AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal))) (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (E -> Real) (AddZeroClass.toAdd.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (AddMonoid.toAddZeroClass.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.instAddMonoidSeminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) (AddZeroClass.toAdd.{u2} (E -> Real) (Pi.addZeroClass.{u2, 0} E (fun (a._@.Mathlib.Analysis.Seminorm._hyg.2053 : E) => Real) (fun (i : E) => AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal))) (AddMonoidHomClass.toAddHomClass.{u2, u2, u2} (AddMonoidHom.{u2, u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (E -> Real) (AddMonoid.toAddZeroClass.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.instAddMonoidSeminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (Pi.addZeroClass.{u2, 0} E (fun (a._@.Mathlib.Analysis.Seminorm._hyg.2053 : E) => Real) (fun (i : E) => AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal))) (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (E -> Real) (AddMonoid.toAddZeroClass.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.instAddMonoidSeminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (Pi.addZeroClass.{u2, 0} E (fun (a._@.Mathlib.Analysis.Seminorm._hyg.2053 : E) => Real) (fun (i : E) => AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)) (AddMonoidHom.addMonoidHomClass.{u2, u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (E -> Real) (AddMonoid.toAddZeroClass.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.instAddMonoidSeminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (Pi.addZeroClass.{u2, 0} E (fun (a._@.Mathlib.Analysis.Seminorm._hyg.2053 : E) => Real) (fun (i : E) => AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal))))) (Seminorm.coeFnAddMonoidHom.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))
+  forall (𝕜 : Type.{u1}) (E : Type.{u2}) [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddGroup.{u2} E] [_inst_3 : SMul.{u1, u2} 𝕜 E], Function.Injective.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (E -> Real) (FunLike.coe.{succ u2, succ u2, succ u2} (AddMonoidHom.{u2, u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (E -> Real) (AddMonoid.toAddZeroClass.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.instAddMonoid.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (Pi.addZeroClass.{u2, 0} E (fun (a._@.Mathlib.Analysis.Seminorm._hyg.2053 : E) => Real) (fun (i : E) => AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal))) (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (fun (_x : Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) => E -> Real) _x) (AddHomClass.toFunLike.{u2, u2, u2} (AddMonoidHom.{u2, u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (E -> Real) (AddMonoid.toAddZeroClass.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.instAddMonoid.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (Pi.addZeroClass.{u2, 0} E (fun (a._@.Mathlib.Analysis.Seminorm._hyg.2053 : E) => Real) (fun (i : E) => AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal))) (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (E -> Real) (AddZeroClass.toAdd.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (AddMonoid.toAddZeroClass.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.instAddMonoid.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) (AddZeroClass.toAdd.{u2} (E -> Real) (Pi.addZeroClass.{u2, 0} E (fun (a._@.Mathlib.Analysis.Seminorm._hyg.2053 : E) => Real) (fun (i : E) => AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal))) (AddMonoidHomClass.toAddHomClass.{u2, u2, u2} (AddMonoidHom.{u2, u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (E -> Real) (AddMonoid.toAddZeroClass.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.instAddMonoid.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (Pi.addZeroClass.{u2, 0} E (fun (a._@.Mathlib.Analysis.Seminorm._hyg.2053 : E) => Real) (fun (i : E) => AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal))) (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (E -> Real) (AddMonoid.toAddZeroClass.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.instAddMonoid.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (Pi.addZeroClass.{u2, 0} E (fun (a._@.Mathlib.Analysis.Seminorm._hyg.2053 : E) => Real) (fun (i : E) => AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)) (AddMonoidHom.addMonoidHomClass.{u2, u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (E -> Real) (AddMonoid.toAddZeroClass.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.instAddMonoid.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (Pi.addZeroClass.{u2, 0} E (fun (a._@.Mathlib.Analysis.Seminorm._hyg.2053 : E) => Real) (fun (i : E) => AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal))))) (Seminorm.coeFnAddMonoidHom.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))
 Case conversion may be inaccurate. Consider using '#align seminorm.coe_fn_add_monoid_hom_injective Seminorm.coeFnAddMonoidHom_injectiveₓ'. -/
 theorem coeFnAddMonoidHom_injective : Function.Injective (coeFnAddMonoidHom 𝕜 E) :=
   show @Function.Injective (Seminorm 𝕜 E) (E → ℝ) coeFn from FunLike.coe_injective
@@ -314,7 +314,7 @@ instance : Sup (Seminorm 𝕜 E)
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddGroup.{u2} E] [_inst_3 : SMul.{u1, u2} 𝕜 E] (p : Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (q : Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3), Eq.{succ u2} (E -> Real) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (fun (_x : Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (Sup.sup.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.hasSup.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) p q)) (Sup.sup.{u2} (E -> Real) (Pi.hasSup.{u2, 0} E (fun (ᾰ : E) => Real) (fun (i : E) => Real.hasSup)) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (fun (_x : Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) p) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (fun (_x : Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) q))
 but is expected to have type
-  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_2 : AddGroup.{u1} E] [_inst_3 : SMul.{u2, u1} 𝕜 E] (p : Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (q : Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3), Eq.{succ u1} (forall (ᾰ : E), (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) ᾰ) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E _inst_2)))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real _inst_2 Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) 𝕜 E _inst_1 _inst_2 _inst_3 (Seminorm.seminormClass.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)))) (Sup.sup.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.instSupSeminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) p q)) (Sup.sup.{u1} (forall (ᾰ : E), (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) ᾰ) (Pi.instSupForAll.{u1, 0} E (fun (ᾰ : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) ᾰ) (fun (i : E) => Real.instSupReal)) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E _inst_2)))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real _inst_2 Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) 𝕜 E _inst_1 _inst_2 _inst_3 (Seminorm.seminormClass.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)))) p) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E _inst_2)))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real _inst_2 Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) 𝕜 E _inst_1 _inst_2 _inst_3 (Seminorm.seminormClass.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)))) q))
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_2 : AddGroup.{u1} E] [_inst_3 : SMul.{u2, u1} 𝕜 E] (p : Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (q : Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3), Eq.{succ u1} (forall (ᾰ : E), (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) ᾰ) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E _inst_2)))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real _inst_2 Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) 𝕜 E _inst_1 _inst_2 _inst_3 (Seminorm.instSeminormClass.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)))) (Sup.sup.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.instSup.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) p q)) (Sup.sup.{u1} (forall (ᾰ : E), (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) ᾰ) (Pi.instSupForAll.{u1, 0} E (fun (ᾰ : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) ᾰ) (fun (i : E) => Real.instSupReal)) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E _inst_2)))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real _inst_2 Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) 𝕜 E _inst_1 _inst_2 _inst_3 (Seminorm.instSeminormClass.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)))) p) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E _inst_2)))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real _inst_2 Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) 𝕜 E _inst_1 _inst_2 _inst_3 (Seminorm.instSeminormClass.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)))) q))
 Case conversion may be inaccurate. Consider using '#align seminorm.coe_sup Seminorm.coe_supₓ'. -/
 @[simp]
 theorem coe_sup (p q : Seminorm 𝕜 E) : ⇑(p ⊔ q) = p ⊔ q :=
@@ -325,7 +325,7 @@ theorem coe_sup (p q : Seminorm 𝕜 E) : ⇑(p ⊔ q) = p ⊔ q :=
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddGroup.{u2} E] [_inst_3 : SMul.{u1, u2} 𝕜 E] (p : Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (q : Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (x : E), Eq.{1} Real (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (fun (_x : Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (Sup.sup.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.hasSup.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) p q) x) (Sup.sup.{0} Real Real.hasSup (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (fun (_x : Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) p x) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (fun (_x : Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) q x))
 but is expected to have type
-  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_2 : AddGroup.{u1} E] [_inst_3 : SMul.{u2, u1} 𝕜 E] (p : Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (q : Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (x : E), Eq.{1} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) x) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E _inst_2)))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real _inst_2 Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) 𝕜 E _inst_1 _inst_2 _inst_3 (Seminorm.seminormClass.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)))) (Sup.sup.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.instSupSeminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) p q) x) (Sup.sup.{0} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) x) Real.instSupReal (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E _inst_2)))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real _inst_2 Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) 𝕜 E _inst_1 _inst_2 _inst_3 (Seminorm.seminormClass.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)))) p x) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E _inst_2)))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real _inst_2 Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) 𝕜 E _inst_1 _inst_2 _inst_3 (Seminorm.seminormClass.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)))) q x))
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_2 : AddGroup.{u1} E] [_inst_3 : SMul.{u2, u1} 𝕜 E] (p : Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (q : Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (x : E), Eq.{1} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) x) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E _inst_2)))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real _inst_2 Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) 𝕜 E _inst_1 _inst_2 _inst_3 (Seminorm.instSeminormClass.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)))) (Sup.sup.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.instSup.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) p q) x) (Sup.sup.{0} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) x) Real.instSupReal (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E _inst_2)))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real _inst_2 Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) 𝕜 E _inst_1 _inst_2 _inst_3 (Seminorm.instSeminormClass.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)))) p x) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E _inst_2)))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real _inst_2 Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) 𝕜 E _inst_1 _inst_2 _inst_3 (Seminorm.instSeminormClass.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)))) q x))
 Case conversion may be inaccurate. Consider using '#align seminorm.sup_apply Seminorm.sup_applyₓ'. -/
 theorem sup_apply (p q : Seminorm 𝕜 E) (x : E) : (p ⊔ q) x = p x ⊔ q x :=
   rfl
@@ -335,7 +335,7 @@ theorem sup_apply (p q : Seminorm 𝕜 E) (x : E) : (p ⊔ q) x = p x ⊔ q x :=
 lean 3 declaration is
   forall {R : Type.{u1}} {𝕜 : Type.{u2}} {E : Type.{u3}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_2 : AddGroup.{u3} E] [_inst_3 : SMul.{u2, u3} 𝕜 E] [_inst_4 : SMul.{u1, 0} R Real] [_inst_5 : SMul.{u1, 0} R NNReal] [_inst_6 : IsScalarTower.{u1, 0, 0} R NNReal Real _inst_5 (SMulZeroClass.toHasSmul.{0, 0} NNReal Real (AddZeroClass.toHasZero.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real Real.addCommMonoid))) (SMulWithZero.toSmulZeroClass.{0, 0} NNReal Real (MulZeroClass.toHasZero.{0} NNReal (MulZeroOneClass.toMulZeroClass.{0} NNReal (MonoidWithZero.toMulZeroOneClass.{0} NNReal (Semiring.toMonoidWithZero.{0} NNReal NNReal.semiring)))) (AddZeroClass.toHasZero.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real Real.addCommMonoid))) (MulActionWithZero.toSMulWithZero.{0, 0} NNReal Real (Semiring.toMonoidWithZero.{0} NNReal NNReal.semiring) (AddZeroClass.toHasZero.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real Real.addCommMonoid))) (Module.toMulActionWithZero.{0, 0} NNReal Real NNReal.semiring Real.addCommMonoid (NNReal.module.{0} Real Real.addCommMonoid Real.module))))) _inst_4] (r : R) (p : Seminorm.{u2, u3} 𝕜 E _inst_1 _inst_2 _inst_3) (q : Seminorm.{u2, u3} 𝕜 E _inst_1 _inst_2 _inst_3), Eq.{succ u3} (Seminorm.{u2, u3} 𝕜 E _inst_1 _inst_2 _inst_3) (SMul.smul.{u1, u3} R (Seminorm.{u2, u3} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.hasSmul.{u1, u2, u3} R 𝕜 E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6) r (Sup.sup.{u3} (Seminorm.{u2, u3} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.hasSup.{u2, u3} 𝕜 E _inst_1 _inst_2 _inst_3) p q)) (Sup.sup.{u3} (Seminorm.{u2, u3} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.hasSup.{u2, u3} 𝕜 E _inst_1 _inst_2 _inst_3) (SMul.smul.{u1, u3} R (Seminorm.{u2, u3} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.hasSmul.{u1, u2, u3} R 𝕜 E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6) r p) (SMul.smul.{u1, u3} R (Seminorm.{u2, u3} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.hasSmul.{u1, u2, u3} R 𝕜 E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6) r q))
 but is expected to have type
-  forall {R : Type.{u3}} {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_2 : AddGroup.{u1} E] [_inst_3 : SMul.{u2, u1} 𝕜 E] [_inst_4 : SMul.{u3, 0} R Real] [_inst_5 : SMul.{u3, 0} R NNReal] [_inst_6 : IsScalarTower.{u3, 0, 0} R NNReal Real _inst_5 (Algebra.toSMul.{0, 0} NNReal Real instNNRealCommSemiring Real.semiring (NNReal.instAlgebraNNRealInstNNRealCommSemiring.{0} Real Real.semiring (NormedAlgebra.toAlgebra.{0, 0} Real Real Real.normedField (SeminormedCommRing.toSeminormedRing.{0} Real (NormedCommRing.toSeminormedCommRing.{0} Real Real.normedCommRing)) (NormedAlgebra.id.{0} Real Real.normedField)))) _inst_4] (r : R) (p : Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (q : Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3), Eq.{succ u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (HSMul.hSMul.{u3, u1, u1} R (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (instHSMul.{u3, u1} R (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.smul.{u3, u2, u1} R 𝕜 E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6)) r (Sup.sup.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.instSupSeminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) p q)) (Sup.sup.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.instSupSeminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (HSMul.hSMul.{u3, u1, u1} R (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (instHSMul.{u3, u1} R (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.smul.{u3, u2, u1} R 𝕜 E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6)) r p) (HSMul.hSMul.{u3, u1, u1} R (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (instHSMul.{u3, u1} R (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.smul.{u3, u2, u1} R 𝕜 E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6)) r q))
+  forall {R : Type.{u3}} {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_2 : AddGroup.{u1} E] [_inst_3 : SMul.{u2, u1} 𝕜 E] [_inst_4 : SMul.{u3, 0} R Real] [_inst_5 : SMul.{u3, 0} R NNReal] [_inst_6 : IsScalarTower.{u3, 0, 0} R NNReal Real _inst_5 (Algebra.toSMul.{0, 0} NNReal Real instNNRealCommSemiring Real.semiring (NNReal.instAlgebraNNRealInstNNRealCommSemiring.{0} Real Real.semiring (NormedAlgebra.toAlgebra.{0, 0} Real Real Real.normedField (SeminormedCommRing.toSeminormedRing.{0} Real (NormedCommRing.toSeminormedCommRing.{0} Real Real.normedCommRing)) (NormedAlgebra.id.{0} Real Real.normedField)))) _inst_4] (r : R) (p : Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (q : Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3), Eq.{succ u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (HSMul.hSMul.{u3, u1, u1} R (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (instHSMul.{u3, u1} R (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.instSMul.{u3, u2, u1} R 𝕜 E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6)) r (Sup.sup.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.instSup.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) p q)) (Sup.sup.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.instSup.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (HSMul.hSMul.{u3, u1, u1} R (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (instHSMul.{u3, u1} R (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.instSMul.{u3, u2, u1} R 𝕜 E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6)) r p) (HSMul.hSMul.{u3, u1, u1} R (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (instHSMul.{u3, u1} R (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.instSMul.{u3, u2, u1} R 𝕜 E _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6)) r q))
 Case conversion may be inaccurate. Consider using '#align seminorm.smul_sup Seminorm.smul_supₓ'. -/
 theorem smul_sup [SMul R ℝ] [SMul R ℝ≥0] [IsScalarTower R ℝ≥0 ℝ] (r : R) (p q : Seminorm 𝕜 E) :
     r • (p ⊔ q) = r • p ⊔ r • q :=
@@ -352,7 +352,7 @@ instance : PartialOrder (Seminorm 𝕜 E) :=
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddGroup.{u2} E] [_inst_3 : SMul.{u1, u2} 𝕜 E] {p : Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3} {q : Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3}, Iff (LE.le.{u2} ((fun (_x : Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) => E -> Real) p) (Pi.hasLe.{u2, 0} E (fun (ᾰ : E) => Real) (fun (i : E) => Real.hasLe)) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (fun (_x : Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) p) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (fun (_x : Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) q)) (LE.le.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (Preorder.toLE.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (PartialOrder.toPreorder.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.partialOrder.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) p q)
 but is expected to have type
-  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_2 : AddGroup.{u1} E] [_inst_3 : SMul.{u2, u1} 𝕜 E] {p : Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3} {q : Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3}, Iff (LE.le.{u1} (forall (a : E), (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) a) (Pi.hasLe.{u1, 0} E (fun (ᾰ : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) ᾰ) (fun (i : E) => Real.instLEReal)) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E _inst_2)))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real _inst_2 Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) 𝕜 E _inst_1 _inst_2 _inst_3 (Seminorm.seminormClass.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)))) p) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E _inst_2)))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real _inst_2 Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) 𝕜 E _inst_1 _inst_2 _inst_3 (Seminorm.seminormClass.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)))) q)) (LE.le.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (Preorder.toLE.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (PartialOrder.toPreorder.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.instPartialOrderSeminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3))) p q)
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_2 : AddGroup.{u1} E] [_inst_3 : SMul.{u2, u1} 𝕜 E] {p : Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3} {q : Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3}, Iff (LE.le.{u1} (forall (a : E), (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) a) (Pi.hasLe.{u1, 0} E (fun (ᾰ : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) ᾰ) (fun (i : E) => Real.instLEReal)) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E _inst_2)))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real _inst_2 Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) 𝕜 E _inst_1 _inst_2 _inst_3 (Seminorm.instSeminormClass.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)))) p) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E _inst_2)))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real _inst_2 Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) 𝕜 E _inst_1 _inst_2 _inst_3 (Seminorm.instSeminormClass.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)))) q)) (LE.le.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (Preorder.toLE.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (PartialOrder.toPreorder.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.instPartialOrder.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3))) p q)
 Case conversion may be inaccurate. Consider using '#align seminorm.coe_le_coe Seminorm.coe_le_coeₓ'. -/
 @[simp, norm_cast]
 theorem coe_le_coe {p q : Seminorm 𝕜 E} : (p : E → ℝ) ≤ q ↔ p ≤ q :=
@@ -363,7 +363,7 @@ theorem coe_le_coe {p q : Seminorm 𝕜 E} : (p : E → ℝ) ≤ q ↔ p ≤ q :
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddGroup.{u2} E] [_inst_3 : SMul.{u1, u2} 𝕜 E] {p : Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3} {q : Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3}, Iff (LT.lt.{u2} ((fun (_x : Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) => E -> Real) p) (Preorder.toLT.{u2} ((fun (_x : Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) => E -> Real) p) (Pi.preorder.{u2, 0} E (fun (ᾰ : E) => Real) (fun (i : E) => Real.preorder))) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (fun (_x : Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) p) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (fun (_x : Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) q)) (LT.lt.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (Preorder.toLT.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (PartialOrder.toPreorder.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.partialOrder.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) p q)
 but is expected to have type
-  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_2 : AddGroup.{u1} E] [_inst_3 : SMul.{u2, u1} 𝕜 E] {p : Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3} {q : Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3}, Iff (LT.lt.{u1} (forall (a : E), (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) a) (Preorder.toLT.{u1} (forall (a : E), (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) a) (Pi.preorder.{u1, 0} E (fun (ᾰ : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) ᾰ) (fun (i : E) => Real.instPreorderReal))) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E _inst_2)))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real _inst_2 Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) 𝕜 E _inst_1 _inst_2 _inst_3 (Seminorm.seminormClass.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)))) p) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E _inst_2)))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real _inst_2 Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) 𝕜 E _inst_1 _inst_2 _inst_3 (Seminorm.seminormClass.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)))) q)) (LT.lt.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (Preorder.toLT.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (PartialOrder.toPreorder.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.instPartialOrderSeminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3))) p q)
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_2 : AddGroup.{u1} E] [_inst_3 : SMul.{u2, u1} 𝕜 E] {p : Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3} {q : Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3}, Iff (LT.lt.{u1} (forall (a : E), (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) a) (Preorder.toLT.{u1} (forall (a : E), (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) a) (Pi.preorder.{u1, 0} E (fun (ᾰ : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) ᾰ) (fun (i : E) => Real.instPreorderReal))) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E _inst_2)))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real _inst_2 Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) 𝕜 E _inst_1 _inst_2 _inst_3 (Seminorm.instSeminormClass.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)))) p) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E _inst_2)))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real _inst_2 Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) 𝕜 E _inst_1 _inst_2 _inst_3 (Seminorm.instSeminormClass.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)))) q)) (LT.lt.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (Preorder.toLT.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (PartialOrder.toPreorder.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.instPartialOrder.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3))) p q)
 Case conversion may be inaccurate. Consider using '#align seminorm.coe_lt_coe Seminorm.coe_lt_coeₓ'. -/
 @[simp, norm_cast]
 theorem coe_lt_coe {p q : Seminorm 𝕜 E} : (p : E → ℝ) < q ↔ p < q :=
@@ -374,7 +374,7 @@ theorem coe_lt_coe {p q : Seminorm 𝕜 E} : (p : E → ℝ) < q ↔ p < q :=
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddGroup.{u2} E] [_inst_3 : SMul.{u1, u2} 𝕜 E] {p : Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3} {q : Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3}, Iff (LE.le.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (Preorder.toLE.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (PartialOrder.toPreorder.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.partialOrder.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) p q) (forall (x : E), LE.le.{0} Real Real.hasLe (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (fun (_x : Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) p x) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (fun (_x : Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) q x))
 but is expected to have type
-  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_2 : AddGroup.{u1} E] [_inst_3 : SMul.{u2, u1} 𝕜 E] {p : Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3} {q : Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3}, Iff (LE.le.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (Preorder.toLE.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (PartialOrder.toPreorder.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.instPartialOrderSeminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3))) p q) (forall (x : E), LE.le.{0} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) x) Real.instLEReal (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E _inst_2)))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real _inst_2 Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) 𝕜 E _inst_1 _inst_2 _inst_3 (Seminorm.seminormClass.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)))) p x) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E _inst_2)))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real _inst_2 Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) 𝕜 E _inst_1 _inst_2 _inst_3 (Seminorm.seminormClass.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)))) q x))
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_2 : AddGroup.{u1} E] [_inst_3 : SMul.{u2, u1} 𝕜 E] {p : Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3} {q : Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3}, Iff (LE.le.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (Preorder.toLE.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (PartialOrder.toPreorder.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.instPartialOrder.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3))) p q) (forall (x : E), LE.le.{0} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) x) Real.instLEReal (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E _inst_2)))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real _inst_2 Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) 𝕜 E _inst_1 _inst_2 _inst_3 (Seminorm.instSeminormClass.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)))) p x) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E _inst_2)))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real _inst_2 Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) 𝕜 E _inst_1 _inst_2 _inst_3 (Seminorm.instSeminormClass.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)))) q x))
 Case conversion may be inaccurate. Consider using '#align seminorm.le_def Seminorm.le_defₓ'. -/
 theorem le_def {p q : Seminorm 𝕜 E} : p ≤ q ↔ ∀ x, p x ≤ q x :=
   Iff.rfl
@@ -384,7 +384,7 @@ theorem le_def {p q : Seminorm 𝕜 E} : p ≤ q ↔ ∀ x, p x ≤ q x :=
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddGroup.{u2} E] [_inst_3 : SMul.{u1, u2} 𝕜 E] {p : Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3} {q : Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3}, Iff (LT.lt.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (Preorder.toLT.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (PartialOrder.toPreorder.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.partialOrder.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) p q) (And (LE.le.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (Preorder.toLE.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (PartialOrder.toPreorder.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.partialOrder.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) p q) (Exists.{succ u2} E (fun (x : E) => LT.lt.{0} Real Real.hasLt (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (fun (_x : Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) p x) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (fun (_x : Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) q x))))
 but is expected to have type
-  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_2 : AddGroup.{u1} E] [_inst_3 : SMul.{u2, u1} 𝕜 E] {p : Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3} {q : Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3}, Iff (LT.lt.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (Preorder.toLT.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (PartialOrder.toPreorder.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.instPartialOrderSeminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3))) p q) (And (LE.le.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (Preorder.toLE.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (PartialOrder.toPreorder.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.instPartialOrderSeminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3))) p q) (Exists.{succ u1} E (fun (x : E) => LT.lt.{0} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) x) Real.instLTReal (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E _inst_2)))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real _inst_2 Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) 𝕜 E _inst_1 _inst_2 _inst_3 (Seminorm.seminormClass.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)))) p x) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E _inst_2)))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real _inst_2 Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) 𝕜 E _inst_1 _inst_2 _inst_3 (Seminorm.seminormClass.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)))) q x))))
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_2 : AddGroup.{u1} E] [_inst_3 : SMul.{u2, u1} 𝕜 E] {p : Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3} {q : Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3}, Iff (LT.lt.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (Preorder.toLT.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (PartialOrder.toPreorder.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.instPartialOrder.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3))) p q) (And (LE.le.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (Preorder.toLE.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (PartialOrder.toPreorder.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.instPartialOrder.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3))) p q) (Exists.{succ u1} E (fun (x : E) => LT.lt.{0} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) x) Real.instLTReal (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E _inst_2)))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real _inst_2 Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) 𝕜 E _inst_1 _inst_2 _inst_3 (Seminorm.instSeminormClass.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)))) p x) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E _inst_2)))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real _inst_2 Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) 𝕜 E _inst_1 _inst_2 _inst_3 (Seminorm.instSeminormClass.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)))) q x))))
 Case conversion may be inaccurate. Consider using '#align seminorm.lt_def Seminorm.lt_defₓ'. -/
 theorem lt_def {p q : Seminorm 𝕜 E} : p < q ↔ p ≤ q ∧ ∃ x, p x < q x :=
   Pi.lt_def
@@ -430,7 +430,7 @@ def comp (p : Seminorm 𝕜₂ E₂) (f : E →ₛₗ[σ₁₂] E₂) : Seminorm
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {𝕜₂ : Type.{u2}} {E : Type.{u3}} {E₂ : Type.{u4}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : SeminormedRing.{u2} 𝕜₂] {σ₁₂ : RingHom.{u1, u2} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))} [_inst_4 : RingHomIsometric.{u1, u2} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (SeminormedRing.toHasNorm.{u1} 𝕜 _inst_1) (SeminormedRing.toHasNorm.{u2} 𝕜₂ _inst_2) σ₁₂] [_inst_7 : AddCommGroup.{u3} E] [_inst_8 : AddCommGroup.{u4} E₂] [_inst_12 : Module.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)] [_inst_13 : Module.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)] (p : Seminorm.{u2, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))) (f : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_12 _inst_13), Eq.{succ u3} (E -> Real) (coeFn.{succ u3, succ u3} (Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))) (fun (_x : Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))) (Seminorm.comp.{u1, u2, u3, u4} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 p f)) (Function.comp.{succ u3, succ u4, 1} E E₂ Real (coeFn.{succ u4, succ u4} (Seminorm.{u2, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))) (fun (_x : Seminorm.{u2, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))) => E₂ -> Real) (Seminorm.hasCoeToFun.{u2, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))) p) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_12 _inst_13) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_12 _inst_13) => E -> E₂) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜 𝕜₂ E E₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_12 _inst_13 σ₁₂) f))
 but is expected to have type
-  forall {𝕜 : Type.{u2}} {𝕜₂ : Type.{u4}} {E : Type.{u1}} {E₂ : Type.{u3}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_2 : SeminormedRing.{u4} 𝕜₂] {σ₁₂ : RingHom.{u2, u4} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NonAssocRing.toNonAssocSemiring.{u4} 𝕜₂ (Ring.toNonAssocRing.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))} [_inst_4 : RingHomIsometric.{u2, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (SeminormedRing.toNorm.{u2} 𝕜 _inst_1) (SeminormedRing.toNorm.{u4} 𝕜₂ _inst_2) σ₁₂] [_inst_7 : AddCommGroup.{u1} E] [_inst_8 : AddCommGroup.{u3} E₂] [_inst_12 : Module.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7)] [_inst_13 : Module.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8)] (p : Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) (f : LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_12 _inst_13), Eq.{succ u1} (forall (ᾰ : E), (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) ᾰ) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_7))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) E Real (AddCommGroup.toAddGroup.{u1} E _inst_7) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12)))) (Seminorm.seminormClass.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12)))))))) (Seminorm.comp.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 p f)) (Function.comp.{succ u1, succ u3, 1} E E₂ Real (FunLike.coe.{succ u3, succ u3, 1} (Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) E₂ (fun (_x : E₂) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E₂) => Real) _x) (SubadditiveHomClass.toFunLike.{u3, u3, 0} (Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) E₂ Real (AddZeroClass.toAdd.{u3} E₂ (AddMonoid.toAddZeroClass.{u3} E₂ (SubNegMonoid.toAddMonoid.{u3} E₂ (AddGroup.toSubNegMonoid.{u3} E₂ (AddCommGroup.toAddGroup.{u3} E₂ _inst_8))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u3, u3, 0} (Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) E₂ Real (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u3, u4, u3} (Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13)))) (Seminorm.seminormClass.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13)))))))) p) (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_12 _inst_13) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : E) => E₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_12 _inst_13 σ₁₂) f))
+  forall {𝕜 : Type.{u2}} {𝕜₂ : Type.{u4}} {E : Type.{u1}} {E₂ : Type.{u3}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_2 : SeminormedRing.{u4} 𝕜₂] {σ₁₂ : RingHom.{u2, u4} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NonAssocRing.toNonAssocSemiring.{u4} 𝕜₂ (Ring.toNonAssocRing.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))} [_inst_4 : RingHomIsometric.{u2, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (SeminormedRing.toNorm.{u2} 𝕜 _inst_1) (SeminormedRing.toNorm.{u4} 𝕜₂ _inst_2) σ₁₂] [_inst_7 : AddCommGroup.{u1} E] [_inst_8 : AddCommGroup.{u3} E₂] [_inst_12 : Module.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7)] [_inst_13 : Module.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8)] (p : Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) (f : LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_12 _inst_13), Eq.{succ u1} (forall (ᾰ : E), (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) ᾰ) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_7))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) E Real (AddCommGroup.toAddGroup.{u1} E _inst_7) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12)))) (Seminorm.instSeminormClass.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12)))))))) (Seminorm.comp.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 p f)) (Function.comp.{succ u1, succ u3, 1} E E₂ Real (FunLike.coe.{succ u3, succ u3, 1} (Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) E₂ (fun (_x : E₂) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E₂) => Real) _x) (SubadditiveHomClass.toFunLike.{u3, u3, 0} (Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) E₂ Real (AddZeroClass.toAdd.{u3} E₂ (AddMonoid.toAddZeroClass.{u3} E₂ (SubNegMonoid.toAddMonoid.{u3} E₂ (AddGroup.toSubNegMonoid.{u3} E₂ (AddCommGroup.toAddGroup.{u3} E₂ _inst_8))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u3, u3, 0} (Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) E₂ Real (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u3, u4, u3} (Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13)))) (Seminorm.instSeminormClass.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13)))))))) p) (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_12 _inst_13) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : E) => E₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_12 _inst_13 σ₁₂) f))
 Case conversion may be inaccurate. Consider using '#align seminorm.coe_comp Seminorm.coe_compₓ'. -/
 theorem coe_comp (p : Seminorm 𝕜₂ E₂) (f : E →ₛₗ[σ₁₂] E₂) : ⇑(p.comp f) = p ∘ f :=
   rfl
@@ -440,7 +440,7 @@ theorem coe_comp (p : Seminorm 𝕜₂ E₂) (f : E →ₛₗ[σ₁₂] E₂) :
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {𝕜₂ : Type.{u2}} {E : Type.{u3}} {E₂ : Type.{u4}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : SeminormedRing.{u2} 𝕜₂] {σ₁₂ : RingHom.{u1, u2} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))} [_inst_4 : RingHomIsometric.{u1, u2} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (SeminormedRing.toHasNorm.{u1} 𝕜 _inst_1) (SeminormedRing.toHasNorm.{u2} 𝕜₂ _inst_2) σ₁₂] [_inst_7 : AddCommGroup.{u3} E] [_inst_8 : AddCommGroup.{u4} E₂] [_inst_12 : Module.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)] [_inst_13 : Module.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)] (p : Seminorm.{u2, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))) (f : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_12 _inst_13) (x : E), Eq.{1} Real (coeFn.{succ u3, succ u3} (Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))) (fun (_x : Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))) (Seminorm.comp.{u1, u2, u3, u4} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 p f) x) (coeFn.{succ u4, succ u4} (Seminorm.{u2, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))) (fun (_x : Seminorm.{u2, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))) => E₂ -> Real) (Seminorm.hasCoeToFun.{u2, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))) p (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_12 _inst_13) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_12 _inst_13) => E -> E₂) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜 𝕜₂ E E₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_12 _inst_13 σ₁₂) f x))
 but is expected to have type
-  forall {𝕜 : Type.{u2}} {𝕜₂ : Type.{u4}} {E : Type.{u1}} {E₂ : Type.{u3}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_2 : SeminormedRing.{u4} 𝕜₂] {σ₁₂ : RingHom.{u2, u4} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NonAssocRing.toNonAssocSemiring.{u4} 𝕜₂ (Ring.toNonAssocRing.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))} [_inst_4 : RingHomIsometric.{u2, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (SeminormedRing.toNorm.{u2} 𝕜 _inst_1) (SeminormedRing.toNorm.{u4} 𝕜₂ _inst_2) σ₁₂] [_inst_7 : AddCommGroup.{u1} E] [_inst_8 : AddCommGroup.{u3} E₂] [_inst_12 : Module.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7)] [_inst_13 : Module.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8)] (p : Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) (f : LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_12 _inst_13) (x : E), Eq.{1} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) x) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_7))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) E Real (AddCommGroup.toAddGroup.{u1} E _inst_7) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12)))) (Seminorm.seminormClass.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12)))))))) (Seminorm.comp.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 p f) x) (FunLike.coe.{succ u3, succ u3, 1} (Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) E₂ (fun (_x : E₂) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E₂) => Real) _x) (SubadditiveHomClass.toFunLike.{u3, u3, 0} (Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) E₂ Real (AddZeroClass.toAdd.{u3} E₂ (AddMonoid.toAddZeroClass.{u3} E₂ (SubNegMonoid.toAddMonoid.{u3} E₂ (AddGroup.toSubNegMonoid.{u3} E₂ (AddCommGroup.toAddGroup.{u3} E₂ _inst_8))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u3, u3, 0} (Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) E₂ Real (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u3, u4, u3} (Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13)))) (Seminorm.seminormClass.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13)))))))) p (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_12 _inst_13) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : E) => E₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_12 _inst_13 σ₁₂) f x))
+  forall {𝕜 : Type.{u2}} {𝕜₂ : Type.{u4}} {E : Type.{u1}} {E₂ : Type.{u3}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_2 : SeminormedRing.{u4} 𝕜₂] {σ₁₂ : RingHom.{u2, u4} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NonAssocRing.toNonAssocSemiring.{u4} 𝕜₂ (Ring.toNonAssocRing.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))} [_inst_4 : RingHomIsometric.{u2, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (SeminormedRing.toNorm.{u2} 𝕜 _inst_1) (SeminormedRing.toNorm.{u4} 𝕜₂ _inst_2) σ₁₂] [_inst_7 : AddCommGroup.{u1} E] [_inst_8 : AddCommGroup.{u3} E₂] [_inst_12 : Module.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7)] [_inst_13 : Module.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8)] (p : Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) (f : LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_12 _inst_13) (x : E), Eq.{1} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) x) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_7))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) E Real (AddCommGroup.toAddGroup.{u1} E _inst_7) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12)))) (Seminorm.instSeminormClass.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12)))))))) (Seminorm.comp.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 p f) x) (FunLike.coe.{succ u3, succ u3, 1} (Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) E₂ (fun (_x : E₂) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E₂) => Real) _x) (SubadditiveHomClass.toFunLike.{u3, u3, 0} (Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) E₂ Real (AddZeroClass.toAdd.{u3} E₂ (AddMonoid.toAddZeroClass.{u3} E₂ (SubNegMonoid.toAddMonoid.{u3} E₂ (AddGroup.toSubNegMonoid.{u3} E₂ (AddCommGroup.toAddGroup.{u3} E₂ _inst_8))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u3, u3, 0} (Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) E₂ Real (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u3, u4, u3} (Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13)))) (Seminorm.instSeminormClass.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13)))))))) p (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_12 _inst_13) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : E) => E₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_12 _inst_13 σ₁₂) f x))
 Case conversion may be inaccurate. Consider using '#align seminorm.comp_apply Seminorm.comp_applyₓ'. -/
 @[simp]
 theorem comp_apply (p : Seminorm 𝕜₂ E₂) (f : E →ₛₗ[σ₁₂] E₂) (x : E) : (p.comp f) x = p (f x) :=
@@ -462,7 +462,7 @@ theorem comp_id (p : Seminorm 𝕜 E) : p.comp LinearMap.id = p :=
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {𝕜₂ : Type.{u2}} {E : Type.{u3}} {E₂ : Type.{u4}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : SeminormedRing.{u2} 𝕜₂] {σ₁₂ : RingHom.{u1, u2} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))} [_inst_4 : RingHomIsometric.{u1, u2} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (SeminormedRing.toHasNorm.{u1} 𝕜 _inst_1) (SeminormedRing.toHasNorm.{u2} 𝕜₂ _inst_2) σ₁₂] [_inst_7 : AddCommGroup.{u3} E] [_inst_8 : AddCommGroup.{u4} E₂] [_inst_12 : Module.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)] [_inst_13 : Module.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)] (p : Seminorm.{u2, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))), Eq.{succ u3} (Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))) (Seminorm.comp.{u1, u2, u3, u4} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 p (OfNat.ofNat.{max u3 u4} (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_12 _inst_13) 0 (OfNat.mk.{max u3 u4} (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_12 _inst_13) 0 (Zero.zero.{max u3 u4} (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_12 _inst_13) (LinearMap.hasZero.{u1, u2, u3, u4} 𝕜 𝕜₂ E E₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_12 _inst_13 σ₁₂))))) (OfNat.ofNat.{u3} (Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))) 0 (OfNat.mk.{u3} (Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))) 0 (Zero.zero.{u3} (Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))) (Seminorm.hasZero.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))))))
 but is expected to have type
-  forall {𝕜 : Type.{u1}} {𝕜₂ : Type.{u4}} {E : Type.{u2}} {E₂ : Type.{u3}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : SeminormedRing.{u4} 𝕜₂] {σ₁₂ : RingHom.{u1, u4} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NonAssocRing.toNonAssocSemiring.{u4} 𝕜₂ (Ring.toNonAssocRing.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))} [_inst_4 : RingHomIsometric.{u1, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (SeminormedRing.toNorm.{u1} 𝕜 _inst_1) (SeminormedRing.toNorm.{u4} 𝕜₂ _inst_2) σ₁₂] [_inst_7 : AddCommGroup.{u2} E] [_inst_8 : AddCommGroup.{u3} E₂] [_inst_12 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)] [_inst_13 : Module.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8)] (p : Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))), Eq.{succ u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Seminorm.comp.{u1, u4, u2, u3} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 p (OfNat.ofNat.{max u2 u3} (LinearMap.{u1, u4, u2, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_12 _inst_13) 0 (Zero.toOfNat0.{max u2 u3} (LinearMap.{u1, u4, u2, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_12 _inst_13) (LinearMap.instZeroLinearMap.{u1, u4, u2, u3} 𝕜 𝕜₂ E E₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_12 _inst_13 σ₁₂)))) (OfNat.ofNat.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) 0 (Zero.toOfNat0.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Seminorm.instZeroSeminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))))))
+  forall {𝕜 : Type.{u1}} {𝕜₂ : Type.{u4}} {E : Type.{u2}} {E₂ : Type.{u3}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : SeminormedRing.{u4} 𝕜₂] {σ₁₂ : RingHom.{u1, u4} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NonAssocRing.toNonAssocSemiring.{u4} 𝕜₂ (Ring.toNonAssocRing.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))} [_inst_4 : RingHomIsometric.{u1, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (SeminormedRing.toNorm.{u1} 𝕜 _inst_1) (SeminormedRing.toNorm.{u4} 𝕜₂ _inst_2) σ₁₂] [_inst_7 : AddCommGroup.{u2} E] [_inst_8 : AddCommGroup.{u3} E₂] [_inst_12 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)] [_inst_13 : Module.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8)] (p : Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))), Eq.{succ u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Seminorm.comp.{u1, u4, u2, u3} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 p (OfNat.ofNat.{max u2 u3} (LinearMap.{u1, u4, u2, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_12 _inst_13) 0 (Zero.toOfNat0.{max u2 u3} (LinearMap.{u1, u4, u2, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_12 _inst_13) (LinearMap.instZeroLinearMap.{u1, u4, u2, u3} 𝕜 𝕜₂ E E₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_12 _inst_13 σ₁₂)))) (OfNat.ofNat.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) 0 (Zero.toOfNat0.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Seminorm.instZero.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))))))
 Case conversion may be inaccurate. Consider using '#align seminorm.comp_zero Seminorm.comp_zeroₓ'. -/
 @[simp]
 theorem comp_zero (p : Seminorm 𝕜₂ E₂) : p.comp (0 : E →ₛₗ[σ₁₂] E₂) = 0 :=
@@ -473,7 +473,7 @@ theorem comp_zero (p : Seminorm 𝕜₂ E₂) : p.comp (0 : E →ₛₗ[σ₁₂
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {𝕜₂ : Type.{u2}} {E : Type.{u3}} {E₂ : Type.{u4}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : SeminormedRing.{u2} 𝕜₂] {σ₁₂ : RingHom.{u1, u2} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))} [_inst_4 : RingHomIsometric.{u1, u2} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (SeminormedRing.toHasNorm.{u1} 𝕜 _inst_1) (SeminormedRing.toHasNorm.{u2} 𝕜₂ _inst_2) σ₁₂] [_inst_7 : AddCommGroup.{u3} E] [_inst_8 : AddCommGroup.{u4} E₂] [_inst_12 : Module.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)] [_inst_13 : Module.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)] (f : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_12 _inst_13), Eq.{succ u3} (Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))) (Seminorm.comp.{u1, u2, u3, u4} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 (OfNat.ofNat.{u4} (Seminorm.{u2, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))) 0 (OfNat.mk.{u4} (Seminorm.{u2, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))) 0 (Zero.zero.{u4} (Seminorm.{u2, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))) (Seminorm.hasZero.{u2, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13)))))))) f) (OfNat.ofNat.{u3} (Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))) 0 (OfNat.mk.{u3} (Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))) 0 (Zero.zero.{u3} (Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))) (Seminorm.hasZero.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))))))
 but is expected to have type
-  forall {𝕜 : Type.{u4}} {𝕜₂ : Type.{u3}} {E : Type.{u2}} {E₂ : Type.{u1}} [_inst_1 : SeminormedRing.{u4} 𝕜] [_inst_2 : SeminormedRing.{u3} 𝕜₂] {σ₁₂ : RingHom.{u4, u3} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u4} 𝕜 (Ring.toNonAssocRing.{u4} 𝕜 (SeminormedRing.toRing.{u4} 𝕜 _inst_1))) (NonAssocRing.toNonAssocSemiring.{u3} 𝕜₂ (Ring.toNonAssocRing.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2)))} [_inst_4 : RingHomIsometric.{u4, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u4} 𝕜 (SeminormedRing.toRing.{u4} 𝕜 _inst_1)) (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2)) (SeminormedRing.toNorm.{u4} 𝕜 _inst_1) (SeminormedRing.toNorm.{u3} 𝕜₂ _inst_2) σ₁₂] [_inst_7 : AddCommGroup.{u2} E] [_inst_8 : AddCommGroup.{u1} E₂] [_inst_12 : Module.{u4, u2} 𝕜 E (Ring.toSemiring.{u4} 𝕜 (SeminormedRing.toRing.{u4} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)] [_inst_13 : Module.{u3, u1} 𝕜₂ E₂ (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} E₂ _inst_8)] (f : LinearMap.{u4, u3, u2, u1} 𝕜 𝕜₂ (Ring.toSemiring.{u4} 𝕜 (SeminormedRing.toRing.{u4} 𝕜 _inst_1)) (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) (AddCommGroup.toAddCommMonoid.{u1} E₂ _inst_8) _inst_12 _inst_13), Eq.{succ u2} (Seminorm.{u4, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u4, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u4, u2} 𝕜 E (MonoidWithZero.toZero.{u4} 𝕜 (Semiring.toMonoidWithZero.{u4} 𝕜 (Ring.toSemiring.{u4} 𝕜 (SeminormedRing.toRing.{u4} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u4, u2} 𝕜 E (Semiring.toMonoidWithZero.{u4} 𝕜 (Ring.toSemiring.{u4} 𝕜 (SeminormedRing.toRing.{u4} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u4, u2} 𝕜 E (Ring.toSemiring.{u4} 𝕜 (SeminormedRing.toRing.{u4} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Seminorm.comp.{u4, u3, u2, u1} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 (OfNat.ofNat.{u1} (Seminorm.{u3, u1} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u1} E₂ _inst_8) (SMulZeroClass.toSMul.{u3, u1} 𝕜₂ E₂ (NegZeroClass.toZero.{u1} E₂ (SubNegZeroMonoid.toNegZeroClass.{u1} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u3, u1} 𝕜₂ E₂ (MonoidWithZero.toZero.{u3} 𝕜₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u1} E₂ (SubNegZeroMonoid.toNegZeroClass.{u1} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u3, u1} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u1} E₂ (SubNegZeroMonoid.toNegZeroClass.{u1} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} E₂ _inst_8))))) (Module.toMulActionWithZero.{u3, u1} 𝕜₂ E₂ (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} E₂ _inst_8) _inst_13))))) 0 (Zero.toOfNat0.{u1} (Seminorm.{u3, u1} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u1} E₂ _inst_8) (SMulZeroClass.toSMul.{u3, u1} 𝕜₂ E₂ (NegZeroClass.toZero.{u1} E₂ (SubNegZeroMonoid.toNegZeroClass.{u1} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u3, u1} 𝕜₂ E₂ (MonoidWithZero.toZero.{u3} 𝕜₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u1} E₂ (SubNegZeroMonoid.toNegZeroClass.{u1} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u3, u1} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u1} E₂ (SubNegZeroMonoid.toNegZeroClass.{u1} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} E₂ _inst_8))))) (Module.toMulActionWithZero.{u3, u1} 𝕜₂ E₂ (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} E₂ _inst_8) _inst_13))))) (Seminorm.instZeroSeminorm.{u3, u1} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u1} E₂ _inst_8) (SMulZeroClass.toSMul.{u3, u1} 𝕜₂ E₂ (NegZeroClass.toZero.{u1} E₂ (SubNegZeroMonoid.toNegZeroClass.{u1} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u3, u1} 𝕜₂ E₂ (MonoidWithZero.toZero.{u3} 𝕜₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u1} E₂ (SubNegZeroMonoid.toNegZeroClass.{u1} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u3, u1} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u1} E₂ (SubNegZeroMonoid.toNegZeroClass.{u1} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} E₂ _inst_8))))) (Module.toMulActionWithZero.{u3, u1} 𝕜₂ E₂ (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} E₂ _inst_8) _inst_13))))))) f) (OfNat.ofNat.{u2} (Seminorm.{u4, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u4, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u4, u2} 𝕜 E (MonoidWithZero.toZero.{u4} 𝕜 (Semiring.toMonoidWithZero.{u4} 𝕜 (Ring.toSemiring.{u4} 𝕜 (SeminormedRing.toRing.{u4} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u4, u2} 𝕜 E (Semiring.toMonoidWithZero.{u4} 𝕜 (Ring.toSemiring.{u4} 𝕜 (SeminormedRing.toRing.{u4} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u4, u2} 𝕜 E (Ring.toSemiring.{u4} 𝕜 (SeminormedRing.toRing.{u4} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) 0 (Zero.toOfNat0.{u2} (Seminorm.{u4, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u4, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u4, u2} 𝕜 E (MonoidWithZero.toZero.{u4} 𝕜 (Semiring.toMonoidWithZero.{u4} 𝕜 (Ring.toSemiring.{u4} 𝕜 (SeminormedRing.toRing.{u4} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u4, u2} 𝕜 E (Semiring.toMonoidWithZero.{u4} 𝕜 (Ring.toSemiring.{u4} 𝕜 (SeminormedRing.toRing.{u4} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u4, u2} 𝕜 E (Ring.toSemiring.{u4} 𝕜 (SeminormedRing.toRing.{u4} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Seminorm.instZeroSeminorm.{u4, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u4, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u4, u2} 𝕜 E (MonoidWithZero.toZero.{u4} 𝕜 (Semiring.toMonoidWithZero.{u4} 𝕜 (Ring.toSemiring.{u4} 𝕜 (SeminormedRing.toRing.{u4} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u4, u2} 𝕜 E (Semiring.toMonoidWithZero.{u4} 𝕜 (Ring.toSemiring.{u4} 𝕜 (SeminormedRing.toRing.{u4} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u4, u2} 𝕜 E (Ring.toSemiring.{u4} 𝕜 (SeminormedRing.toRing.{u4} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))))))
+  forall {𝕜 : Type.{u4}} {𝕜₂ : Type.{u3}} {E : Type.{u2}} {E₂ : Type.{u1}} [_inst_1 : SeminormedRing.{u4} 𝕜] [_inst_2 : SeminormedRing.{u3} 𝕜₂] {σ₁₂ : RingHom.{u4, u3} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u4} 𝕜 (Ring.toNonAssocRing.{u4} 𝕜 (SeminormedRing.toRing.{u4} 𝕜 _inst_1))) (NonAssocRing.toNonAssocSemiring.{u3} 𝕜₂ (Ring.toNonAssocRing.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2)))} [_inst_4 : RingHomIsometric.{u4, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u4} 𝕜 (SeminormedRing.toRing.{u4} 𝕜 _inst_1)) (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2)) (SeminormedRing.toNorm.{u4} 𝕜 _inst_1) (SeminormedRing.toNorm.{u3} 𝕜₂ _inst_2) σ₁₂] [_inst_7 : AddCommGroup.{u2} E] [_inst_8 : AddCommGroup.{u1} E₂] [_inst_12 : Module.{u4, u2} 𝕜 E (Ring.toSemiring.{u4} 𝕜 (SeminormedRing.toRing.{u4} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)] [_inst_13 : Module.{u3, u1} 𝕜₂ E₂ (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} E₂ _inst_8)] (f : LinearMap.{u4, u3, u2, u1} 𝕜 𝕜₂ (Ring.toSemiring.{u4} 𝕜 (SeminormedRing.toRing.{u4} 𝕜 _inst_1)) (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) (AddCommGroup.toAddCommMonoid.{u1} E₂ _inst_8) _inst_12 _inst_13), Eq.{succ u2} (Seminorm.{u4, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u4, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u4, u2} 𝕜 E (MonoidWithZero.toZero.{u4} 𝕜 (Semiring.toMonoidWithZero.{u4} 𝕜 (Ring.toSemiring.{u4} 𝕜 (SeminormedRing.toRing.{u4} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u4, u2} 𝕜 E (Semiring.toMonoidWithZero.{u4} 𝕜 (Ring.toSemiring.{u4} 𝕜 (SeminormedRing.toRing.{u4} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u4, u2} 𝕜 E (Ring.toSemiring.{u4} 𝕜 (SeminormedRing.toRing.{u4} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Seminorm.comp.{u4, u3, u2, u1} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 (OfNat.ofNat.{u1} (Seminorm.{u3, u1} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u1} E₂ _inst_8) (SMulZeroClass.toSMul.{u3, u1} 𝕜₂ E₂ (NegZeroClass.toZero.{u1} E₂ (SubNegZeroMonoid.toNegZeroClass.{u1} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u3, u1} 𝕜₂ E₂ (MonoidWithZero.toZero.{u3} 𝕜₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u1} E₂ (SubNegZeroMonoid.toNegZeroClass.{u1} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u3, u1} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u1} E₂ (SubNegZeroMonoid.toNegZeroClass.{u1} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} E₂ _inst_8))))) (Module.toMulActionWithZero.{u3, u1} 𝕜₂ E₂ (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} E₂ _inst_8) _inst_13))))) 0 (Zero.toOfNat0.{u1} (Seminorm.{u3, u1} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u1} E₂ _inst_8) (SMulZeroClass.toSMul.{u3, u1} 𝕜₂ E₂ (NegZeroClass.toZero.{u1} E₂ (SubNegZeroMonoid.toNegZeroClass.{u1} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u3, u1} 𝕜₂ E₂ (MonoidWithZero.toZero.{u3} 𝕜₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u1} E₂ (SubNegZeroMonoid.toNegZeroClass.{u1} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u3, u1} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u1} E₂ (SubNegZeroMonoid.toNegZeroClass.{u1} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} E₂ _inst_8))))) (Module.toMulActionWithZero.{u3, u1} 𝕜₂ E₂ (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} E₂ _inst_8) _inst_13))))) (Seminorm.instZero.{u3, u1} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u1} E₂ _inst_8) (SMulZeroClass.toSMul.{u3, u1} 𝕜₂ E₂ (NegZeroClass.toZero.{u1} E₂ (SubNegZeroMonoid.toNegZeroClass.{u1} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u3, u1} 𝕜₂ E₂ (MonoidWithZero.toZero.{u3} 𝕜₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u1} E₂ (SubNegZeroMonoid.toNegZeroClass.{u1} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u3, u1} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u1} E₂ (SubNegZeroMonoid.toNegZeroClass.{u1} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} E₂ _inst_8))))) (Module.toMulActionWithZero.{u3, u1} 𝕜₂ E₂ (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} E₂ _inst_8) _inst_13))))))) f) (OfNat.ofNat.{u2} (Seminorm.{u4, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u4, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u4, u2} 𝕜 E (MonoidWithZero.toZero.{u4} 𝕜 (Semiring.toMonoidWithZero.{u4} 𝕜 (Ring.toSemiring.{u4} 𝕜 (SeminormedRing.toRing.{u4} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u4, u2} 𝕜 E (Semiring.toMonoidWithZero.{u4} 𝕜 (Ring.toSemiring.{u4} 𝕜 (SeminormedRing.toRing.{u4} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u4, u2} 𝕜 E (Ring.toSemiring.{u4} 𝕜 (SeminormedRing.toRing.{u4} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) 0 (Zero.toOfNat0.{u2} (Seminorm.{u4, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u4, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u4, u2} 𝕜 E (MonoidWithZero.toZero.{u4} 𝕜 (Semiring.toMonoidWithZero.{u4} 𝕜 (Ring.toSemiring.{u4} 𝕜 (SeminormedRing.toRing.{u4} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u4, u2} 𝕜 E (Semiring.toMonoidWithZero.{u4} 𝕜 (Ring.toSemiring.{u4} 𝕜 (SeminormedRing.toRing.{u4} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u4, u2} 𝕜 E (Ring.toSemiring.{u4} 𝕜 (SeminormedRing.toRing.{u4} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Seminorm.instZero.{u4, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u4, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u4, u2} 𝕜 E (MonoidWithZero.toZero.{u4} 𝕜 (Semiring.toMonoidWithZero.{u4} 𝕜 (Ring.toSemiring.{u4} 𝕜 (SeminormedRing.toRing.{u4} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u4, u2} 𝕜 E (Semiring.toMonoidWithZero.{u4} 𝕜 (Ring.toSemiring.{u4} 𝕜 (SeminormedRing.toRing.{u4} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u4, u2} 𝕜 E (Ring.toSemiring.{u4} 𝕜 (SeminormedRing.toRing.{u4} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))))))
 Case conversion may be inaccurate. Consider using '#align seminorm.zero_comp Seminorm.zero_compₓ'. -/
 @[simp]
 theorem zero_comp (f : E →ₛₗ[σ₁₂] E₂) : (0 : Seminorm 𝕜₂ E₂).comp f = 0 :=
@@ -495,7 +495,7 @@ theorem comp_comp [RingHomCompTriple σ₁₂ σ₂₃ σ₁₃] (p : Seminorm 
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {𝕜₂ : Type.{u2}} {E : Type.{u3}} {E₂ : Type.{u4}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : SeminormedRing.{u2} 𝕜₂] {σ₁₂ : RingHom.{u1, u2} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))} [_inst_4 : RingHomIsometric.{u1, u2} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (SeminormedRing.toHasNorm.{u1} 𝕜 _inst_1) (SeminormedRing.toHasNorm.{u2} 𝕜₂ _inst_2) σ₁₂] [_inst_7 : AddCommGroup.{u3} E] [_inst_8 : AddCommGroup.{u4} E₂] [_inst_12 : Module.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)] [_inst_13 : Module.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)] (p : Seminorm.{u2, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))) (q : Seminorm.{u2, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))) (f : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_12 _inst_13), Eq.{succ u3} (Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))) (Seminorm.comp.{u1, u2, u3, u4} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 (HAdd.hAdd.{u4, u4, u4} (Seminorm.{u2, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))) (Seminorm.{u2, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))) (Seminorm.{u2, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))) (instHAdd.{u4} (Seminorm.{u2, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))) (Seminorm.hasAdd.{u2, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13)))))) p q) f) (HAdd.hAdd.{u3, u3, u3} (Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))) (Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))) (Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))) (instHAdd.{u3} (Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))) (Seminorm.hasAdd.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12)))))) (Seminorm.comp.{u1, u2, u3, u4} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 p f) (Seminorm.comp.{u1, u2, u3, u4} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 q f))
 but is expected to have type
-  forall {𝕜 : Type.{u2}} {𝕜₂ : Type.{u4}} {E : Type.{u1}} {E₂ : Type.{u3}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_2 : SeminormedRing.{u4} 𝕜₂] {σ₁₂ : RingHom.{u2, u4} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NonAssocRing.toNonAssocSemiring.{u4} 𝕜₂ (Ring.toNonAssocRing.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))} [_inst_4 : RingHomIsometric.{u2, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (SeminormedRing.toNorm.{u2} 𝕜 _inst_1) (SeminormedRing.toNorm.{u4} 𝕜₂ _inst_2) σ₁₂] [_inst_7 : AddCommGroup.{u1} E] [_inst_8 : AddCommGroup.{u3} E₂] [_inst_12 : Module.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7)] [_inst_13 : Module.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8)] (p : Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) (q : Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) (f : LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_12 _inst_13), Eq.{succ u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (Seminorm.comp.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 (HAdd.hAdd.{u3, u3, u3} (Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) (Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) (Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) (instHAdd.{u3} (Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) (Seminorm.instAddSeminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13)))))) p q) f) (HAdd.hAdd.{u1, u1, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (instHAdd.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (Seminorm.instAddSeminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12)))))) (Seminorm.comp.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 p f) (Seminorm.comp.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 q f))
+  forall {𝕜 : Type.{u2}} {𝕜₂ : Type.{u4}} {E : Type.{u1}} {E₂ : Type.{u3}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_2 : SeminormedRing.{u4} 𝕜₂] {σ₁₂ : RingHom.{u2, u4} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NonAssocRing.toNonAssocSemiring.{u4} 𝕜₂ (Ring.toNonAssocRing.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))} [_inst_4 : RingHomIsometric.{u2, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (SeminormedRing.toNorm.{u2} 𝕜 _inst_1) (SeminormedRing.toNorm.{u4} 𝕜₂ _inst_2) σ₁₂] [_inst_7 : AddCommGroup.{u1} E] [_inst_8 : AddCommGroup.{u3} E₂] [_inst_12 : Module.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7)] [_inst_13 : Module.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8)] (p : Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) (q : Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) (f : LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_12 _inst_13), Eq.{succ u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (Seminorm.comp.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 (HAdd.hAdd.{u3, u3, u3} (Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) (Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) (Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) (instHAdd.{u3} (Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) (Seminorm.instAdd.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13)))))) p q) f) (HAdd.hAdd.{u1, u1, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (instHAdd.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (Seminorm.instAdd.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12)))))) (Seminorm.comp.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 p f) (Seminorm.comp.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 q f))
 Case conversion may be inaccurate. Consider using '#align seminorm.add_comp Seminorm.add_compₓ'. -/
 theorem add_comp (p q : Seminorm 𝕜₂ E₂) (f : E →ₛₗ[σ₁₂] E₂) :
     (p + q).comp f = p.comp f + q.comp f :=
@@ -506,7 +506,7 @@ theorem add_comp (p q : Seminorm 𝕜₂ E₂) (f : E →ₛₗ[σ₁₂] E₂)
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {𝕜₂ : Type.{u2}} {E : Type.{u3}} {E₂ : Type.{u4}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : SeminormedRing.{u2} 𝕜₂] {σ₁₂ : RingHom.{u1, u2} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))} [_inst_4 : RingHomIsometric.{u1, u2} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (SeminormedRing.toHasNorm.{u1} 𝕜 _inst_1) (SeminormedRing.toHasNorm.{u2} 𝕜₂ _inst_2) σ₁₂] [_inst_7 : AddCommGroup.{u3} E] [_inst_8 : AddCommGroup.{u4} E₂] [_inst_12 : Module.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)] [_inst_13 : Module.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)] (p : Seminorm.{u2, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))) (f : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_12 _inst_13) (g : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_12 _inst_13), LE.le.{u3} (Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))) (Preorder.toLE.{u3} (Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))) (PartialOrder.toPreorder.{u3} (Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))) (Seminorm.partialOrder.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))))) (Seminorm.comp.{u1, u2, u3, u4} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 p (HAdd.hAdd.{max u3 u4, max u3 u4, max u3 u4} (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_12 _inst_13) (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_12 _inst_13) (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_12 _inst_13) (instHAdd.{max u3 u4} (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_12 _inst_13) (LinearMap.hasAdd.{u1, u2, u3, u4} 𝕜 𝕜₂ E E₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_12 _inst_13 σ₁₂)) f g)) (HAdd.hAdd.{u3, u3, u3} (Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))) (Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))) (Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))) (instHAdd.{u3} (Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))) (Seminorm.hasAdd.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12)))))) (Seminorm.comp.{u1, u2, u3, u4} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 p f) (Seminorm.comp.{u1, u2, u3, u4} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 p g))
 but is expected to have type
-  forall {𝕜 : Type.{u2}} {𝕜₂ : Type.{u4}} {E : Type.{u1}} {E₂ : Type.{u3}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_2 : SeminormedRing.{u4} 𝕜₂] {σ₁₂ : RingHom.{u2, u4} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NonAssocRing.toNonAssocSemiring.{u4} 𝕜₂ (Ring.toNonAssocRing.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))} [_inst_4 : RingHomIsometric.{u2, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (SeminormedRing.toNorm.{u2} 𝕜 _inst_1) (SeminormedRing.toNorm.{u4} 𝕜₂ _inst_2) σ₁₂] [_inst_7 : AddCommGroup.{u1} E] [_inst_8 : AddCommGroup.{u3} E₂] [_inst_12 : Module.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7)] [_inst_13 : Module.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8)] (p : Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) (f : LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_12 _inst_13) (g : LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_12 _inst_13), LE.le.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (Preorder.toLE.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (PartialOrder.toPreorder.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (Seminorm.instPartialOrderSeminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))))) (Seminorm.comp.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 p (HAdd.hAdd.{max u1 u3, max u1 u3, max u1 u3} (LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_12 _inst_13) (LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_12 _inst_13) (LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_12 _inst_13) (instHAdd.{max u1 u3} (LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_12 _inst_13) (LinearMap.instAddLinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_12 _inst_13 σ₁₂)) f g)) (HAdd.hAdd.{u1, u1, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (instHAdd.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (Seminorm.instAddSeminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12)))))) (Seminorm.comp.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 p f) (Seminorm.comp.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 p g))
+  forall {𝕜 : Type.{u2}} {𝕜₂ : Type.{u4}} {E : Type.{u1}} {E₂ : Type.{u3}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_2 : SeminormedRing.{u4} 𝕜₂] {σ₁₂ : RingHom.{u2, u4} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NonAssocRing.toNonAssocSemiring.{u4} 𝕜₂ (Ring.toNonAssocRing.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))} [_inst_4 : RingHomIsometric.{u2, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (SeminormedRing.toNorm.{u2} 𝕜 _inst_1) (SeminormedRing.toNorm.{u4} 𝕜₂ _inst_2) σ₁₂] [_inst_7 : AddCommGroup.{u1} E] [_inst_8 : AddCommGroup.{u3} E₂] [_inst_12 : Module.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7)] [_inst_13 : Module.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8)] (p : Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) (f : LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_12 _inst_13) (g : LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_12 _inst_13), LE.le.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (Preorder.toLE.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (PartialOrder.toPreorder.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (Seminorm.instPartialOrder.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))))) (Seminorm.comp.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 p (HAdd.hAdd.{max u1 u3, max u1 u3, max u1 u3} (LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_12 _inst_13) (LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_12 _inst_13) (LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_12 _inst_13) (instHAdd.{max u1 u3} (LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_12 _inst_13) (LinearMap.instAddLinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_12 _inst_13 σ₁₂)) f g)) (HAdd.hAdd.{u1, u1, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (instHAdd.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (Seminorm.instAdd.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12)))))) (Seminorm.comp.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 p f) (Seminorm.comp.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 p g))
 Case conversion may be inaccurate. Consider using '#align seminorm.comp_add_le Seminorm.comp_add_leₓ'. -/
 theorem comp_add_le (p : Seminorm 𝕜₂ E₂) (f g : E →ₛₗ[σ₁₂] E₂) :
     p.comp (f + g) ≤ p.comp f + p.comp g := fun _ => map_add_le_add p _ _
@@ -516,7 +516,7 @@ theorem comp_add_le (p : Seminorm 𝕜₂ E₂) (f g : E →ₛₗ[σ₁₂] E
 lean 3 declaration is
   forall {R : Type.{u1}} {𝕜 : Type.{u2}} {𝕜₂ : Type.{u3}} {E : Type.{u4}} {E₂ : Type.{u5}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_2 : SeminormedRing.{u3} 𝕜₂] {σ₁₂ : RingHom.{u2, u3} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NonAssocRing.toNonAssocSemiring.{u3} 𝕜₂ (Ring.toNonAssocRing.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2)))} [_inst_4 : RingHomIsometric.{u2, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2)) (SeminormedRing.toHasNorm.{u2} 𝕜 _inst_1) (SeminormedRing.toHasNorm.{u3} 𝕜₂ _inst_2) σ₁₂] [_inst_7 : AddCommGroup.{u4} E] [_inst_8 : AddCommGroup.{u5} E₂] [_inst_12 : Module.{u2, u4} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} E _inst_7)] [_inst_13 : Module.{u3, u5} 𝕜₂ E₂ (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u5} E₂ _inst_8)] [_inst_17 : SMul.{u1, 0} R Real] [_inst_18 : SMul.{u1, 0} R NNReal] [_inst_19 : IsScalarTower.{u1, 0, 0} R NNReal Real _inst_18 (SMulZeroClass.toHasSmul.{0, 0} NNReal Real (AddZeroClass.toHasZero.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real Real.addCommMonoid))) (SMulWithZero.toSmulZeroClass.{0, 0} NNReal Real (MulZeroClass.toHasZero.{0} NNReal (MulZeroOneClass.toMulZeroClass.{0} NNReal (MonoidWithZero.toMulZeroOneClass.{0} NNReal (Semiring.toMonoidWithZero.{0} NNReal NNReal.semiring)))) (AddZeroClass.toHasZero.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real Real.addCommMonoid))) (MulActionWithZero.toSMulWithZero.{0, 0} NNReal Real (Semiring.toMonoidWithZero.{0} NNReal NNReal.semiring) (AddZeroClass.toHasZero.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real Real.addCommMonoid))) (Module.toMulActionWithZero.{0, 0} NNReal Real NNReal.semiring Real.addCommMonoid (NNReal.module.{0} Real Real.addCommMonoid Real.module))))) _inst_17] (p : Seminorm.{u3, u5} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u5} E₂ _inst_8) (SMulZeroClass.toHasSmul.{u3, u5} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u5} E₂ (AddMonoid.toAddZeroClass.{u5} E₂ (AddCommMonoid.toAddMonoid.{u5} E₂ (AddCommGroup.toAddCommMonoid.{u5} E₂ _inst_8)))) (SMulWithZero.toSmulZeroClass.{u3, u5} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u3} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u3} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u3} 𝕜₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u5} E₂ (AddMonoid.toAddZeroClass.{u5} E₂ (AddCommMonoid.toAddMonoid.{u5} E₂ (AddCommGroup.toAddCommMonoid.{u5} E₂ _inst_8)))) (MulActionWithZero.toSMulWithZero.{u3, u5} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u5} E₂ (AddMonoid.toAddZeroClass.{u5} E₂ (AddCommMonoid.toAddMonoid.{u5} E₂ (AddCommGroup.toAddCommMonoid.{u5} E₂ _inst_8)))) (Module.toMulActionWithZero.{u3, u5} 𝕜₂ E₂ (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u5} E₂ _inst_8) _inst_13))))) (f : LinearMap.{u2, u3, u4, u5} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u4} E _inst_7) (AddCommGroup.toAddCommMonoid.{u5} E₂ _inst_8) _inst_12 _inst_13) (c : R), Eq.{succ u4} (Seminorm.{u2, u4} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u4} E _inst_7) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜 E (AddZeroClass.toHasZero.{u4} E (AddMonoid.toAddZeroClass.{u4} E (AddCommMonoid.toAddMonoid.{u4} E (AddCommGroup.toAddCommMonoid.{u4} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜 E (MulZeroClass.toHasZero.{u2} 𝕜 (MulZeroOneClass.toMulZeroClass.{u2} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u4} E (AddMonoid.toAddZeroClass.{u4} E (AddCommMonoid.toAddMonoid.{u4} E (AddCommGroup.toAddCommMonoid.{u4} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u4} E (AddMonoid.toAddZeroClass.{u4} E (AddCommMonoid.toAddMonoid.{u4} E (AddCommGroup.toAddCommMonoid.{u4} E _inst_7)))) (Module.toMulActionWithZero.{u2, u4} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} E _inst_7) _inst_12))))) (Seminorm.comp.{u2, u3, u4, u5} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 (SMul.smul.{u1, u5} R (Seminorm.{u3, u5} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u5} E₂ _inst_8) (SMulZeroClass.toHasSmul.{u3, u5} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u5} E₂ (AddMonoid.toAddZeroClass.{u5} E₂ (AddCommMonoid.toAddMonoid.{u5} E₂ (AddCommGroup.toAddCommMonoid.{u5} E₂ _inst_8)))) (SMulWithZero.toSmulZeroClass.{u3, u5} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u3} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u3} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u3} 𝕜₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u5} E₂ (AddMonoid.toAddZeroClass.{u5} E₂ (AddCommMonoid.toAddMonoid.{u5} E₂ (AddCommGroup.toAddCommMonoid.{u5} E₂ _inst_8)))) (MulActionWithZero.toSMulWithZero.{u3, u5} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u5} E₂ (AddMonoid.toAddZeroClass.{u5} E₂ (AddCommMonoid.toAddMonoid.{u5} E₂ (AddCommGroup.toAddCommMonoid.{u5} E₂ _inst_8)))) (Module.toMulActionWithZero.{u3, u5} 𝕜₂ E₂ (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u5} E₂ _inst_8) _inst_13))))) (Seminorm.hasSmul.{u1, u3, u5} R 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u5} E₂ _inst_8) (SMulZeroClass.toHasSmul.{u3, u5} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u5} E₂ (AddMonoid.toAddZeroClass.{u5} E₂ (AddCommMonoid.toAddMonoid.{u5} E₂ (AddCommGroup.toAddCommMonoid.{u5} E₂ _inst_8)))) (SMulWithZero.toSmulZeroClass.{u3, u5} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u3} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u3} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u3} 𝕜₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u5} E₂ (AddMonoid.toAddZeroClass.{u5} E₂ (AddCommMonoid.toAddMonoid.{u5} E₂ (AddCommGroup.toAddCommMonoid.{u5} E₂ _inst_8)))) (MulActionWithZero.toSMulWithZero.{u3, u5} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u5} E₂ (AddMonoid.toAddZeroClass.{u5} E₂ (AddCommMonoid.toAddMonoid.{u5} E₂ (AddCommGroup.toAddCommMonoid.{u5} E₂ _inst_8)))) (Module.toMulActionWithZero.{u3, u5} 𝕜₂ E₂ (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u5} E₂ _inst_8) _inst_13)))) _inst_17 _inst_18 _inst_19) c p) f) (SMul.smul.{u1, u4} R (Seminorm.{u2, u4} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u4} E _inst_7) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜 E (AddZeroClass.toHasZero.{u4} E (AddMonoid.toAddZeroClass.{u4} E (AddCommMonoid.toAddMonoid.{u4} E (AddCommGroup.toAddCommMonoid.{u4} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜 E (MulZeroClass.toHasZero.{u2} 𝕜 (MulZeroOneClass.toMulZeroClass.{u2} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u4} E (AddMonoid.toAddZeroClass.{u4} E (AddCommMonoid.toAddMonoid.{u4} E (AddCommGroup.toAddCommMonoid.{u4} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u4} E (AddMonoid.toAddZeroClass.{u4} E (AddCommMonoid.toAddMonoid.{u4} E (AddCommGroup.toAddCommMonoid.{u4} E _inst_7)))) (Module.toMulActionWithZero.{u2, u4} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} E _inst_7) _inst_12))))) (Seminorm.hasSmul.{u1, u2, u4} R 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u4} E _inst_7) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜 E (AddZeroClass.toHasZero.{u4} E (AddMonoid.toAddZeroClass.{u4} E (AddCommMonoid.toAddMonoid.{u4} E (AddCommGroup.toAddCommMonoid.{u4} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜 E (MulZeroClass.toHasZero.{u2} 𝕜 (MulZeroOneClass.toMulZeroClass.{u2} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u4} E (AddMonoid.toAddZeroClass.{u4} E (AddCommMonoid.toAddMonoid.{u4} E (AddCommGroup.toAddCommMonoid.{u4} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u4} E (AddMonoid.toAddZeroClass.{u4} E (AddCommMonoid.toAddMonoid.{u4} E (AddCommGroup.toAddCommMonoid.{u4} E _inst_7)))) (Module.toMulActionWithZero.{u2, u4} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} E _inst_7) _inst_12)))) _inst_17 _inst_18 _inst_19) c (Seminorm.comp.{u2, u3, u4, u5} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 p f))
 but is expected to have type
-  forall {R : Type.{u1}} {𝕜 : Type.{u3}} {𝕜₂ : Type.{u5}} {E : Type.{u2}} {E₂ : Type.{u4}} [_inst_1 : SeminormedRing.{u3} 𝕜] [_inst_2 : SeminormedRing.{u5} 𝕜₂] {σ₁₂ : RingHom.{u3, u5} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NonAssocRing.toNonAssocSemiring.{u5} 𝕜₂ (Ring.toNonAssocRing.{u5} 𝕜₂ (SeminormedRing.toRing.{u5} 𝕜₂ _inst_2)))} [_inst_4 : RingHomIsometric.{u3, u5} 𝕜 𝕜₂ (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (Ring.toSemiring.{u5} 𝕜₂ (SeminormedRing.toRing.{u5} 𝕜₂ _inst_2)) (SeminormedRing.toNorm.{u3} 𝕜 _inst_1) (SeminormedRing.toNorm.{u5} 𝕜₂ _inst_2) σ₁₂] [_inst_7 : AddCommGroup.{u2} E] [_inst_8 : AddCommGroup.{u4} E₂] [_inst_12 : Module.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)] [_inst_13 : Module.{u5, u4} 𝕜₂ E₂ (Ring.toSemiring.{u5} 𝕜₂ (SeminormedRing.toRing.{u5} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)] [_inst_17 : SMul.{u1, 0} R Real] [_inst_18 : SMul.{u1, 0} R NNReal] [_inst_19 : IsScalarTower.{u1, 0, 0} R NNReal Real _inst_18 Seminorm.smul_nnreal_real _inst_17] (p : Seminorm.{u5, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toSMul.{u5, u4} 𝕜₂ E₂ (NegZeroClass.toZero.{u4} E₂ (SubNegZeroMonoid.toNegZeroClass.{u4} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u4} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u4} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u4} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u5, u4} 𝕜₂ E₂ (MonoidWithZero.toZero.{u5} 𝕜₂ (Semiring.toMonoidWithZero.{u5} 𝕜₂ (Ring.toSemiring.{u5} 𝕜₂ (SeminormedRing.toRing.{u5} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u4} E₂ (SubNegZeroMonoid.toNegZeroClass.{u4} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u4} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u4} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u4} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u5, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u5} 𝕜₂ (Ring.toSemiring.{u5} 𝕜₂ (SeminormedRing.toRing.{u5} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u4} E₂ (SubNegZeroMonoid.toNegZeroClass.{u4} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u4} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u4} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u4} E₂ _inst_8))))) (Module.toMulActionWithZero.{u5, u4} 𝕜₂ E₂ (Ring.toSemiring.{u5} 𝕜₂ (SeminormedRing.toRing.{u5} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))) (f : LinearMap.{u3, u5, u2, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (Ring.toSemiring.{u5} 𝕜₂ (SeminormedRing.toRing.{u5} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_12 _inst_13) (c : R), Eq.{succ u2} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Seminorm.comp.{u3, u5, u2, u4} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 (HSMul.hSMul.{u1, u4, u4} R (Seminorm.{u5, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toSMul.{u5, u4} 𝕜₂ E₂ (NegZeroClass.toZero.{u4} E₂ (SubNegZeroMonoid.toNegZeroClass.{u4} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u4} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u4} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u4} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u5, u4} 𝕜₂ E₂ (MonoidWithZero.toZero.{u5} 𝕜₂ (Semiring.toMonoidWithZero.{u5} 𝕜₂ (Ring.toSemiring.{u5} 𝕜₂ (SeminormedRing.toRing.{u5} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u4} E₂ (SubNegZeroMonoid.toNegZeroClass.{u4} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u4} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u4} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u4} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u5, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u5} 𝕜₂ (Ring.toSemiring.{u5} 𝕜₂ (SeminormedRing.toRing.{u5} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u4} E₂ (SubNegZeroMonoid.toNegZeroClass.{u4} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u4} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u4} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u4} E₂ _inst_8))))) (Module.toMulActionWithZero.{u5, u4} 𝕜₂ E₂ (Ring.toSemiring.{u5} 𝕜₂ (SeminormedRing.toRing.{u5} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))) (Seminorm.{u5, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toSMul.{u5, u4} 𝕜₂ E₂ (NegZeroClass.toZero.{u4} E₂ (SubNegZeroMonoid.toNegZeroClass.{u4} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u4} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u4} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u4} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u5, u4} 𝕜₂ E₂ (MonoidWithZero.toZero.{u5} 𝕜₂ (Semiring.toMonoidWithZero.{u5} 𝕜₂ (Ring.toSemiring.{u5} 𝕜₂ (SeminormedRing.toRing.{u5} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u4} E₂ (SubNegZeroMonoid.toNegZeroClass.{u4} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u4} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u4} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u4} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u5, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u5} 𝕜₂ (Ring.toSemiring.{u5} 𝕜₂ (SeminormedRing.toRing.{u5} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u4} E₂ (SubNegZeroMonoid.toNegZeroClass.{u4} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u4} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u4} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u4} E₂ _inst_8))))) (Module.toMulActionWithZero.{u5, u4} 𝕜₂ E₂ (Ring.toSemiring.{u5} 𝕜₂ (SeminormedRing.toRing.{u5} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))) (instHSMul.{u1, u4} R (Seminorm.{u5, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toSMul.{u5, u4} 𝕜₂ E₂ (NegZeroClass.toZero.{u4} E₂ (SubNegZeroMonoid.toNegZeroClass.{u4} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u4} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u4} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u4} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u5, u4} 𝕜₂ E₂ (MonoidWithZero.toZero.{u5} 𝕜₂ (Semiring.toMonoidWithZero.{u5} 𝕜₂ (Ring.toSemiring.{u5} 𝕜₂ (SeminormedRing.toRing.{u5} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u4} E₂ (SubNegZeroMonoid.toNegZeroClass.{u4} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u4} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u4} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u4} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u5, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u5} 𝕜₂ (Ring.toSemiring.{u5} 𝕜₂ (SeminormedRing.toRing.{u5} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u4} E₂ (SubNegZeroMonoid.toNegZeroClass.{u4} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u4} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u4} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u4} E₂ _inst_8))))) (Module.toMulActionWithZero.{u5, u4} 𝕜₂ E₂ (Ring.toSemiring.{u5} 𝕜₂ (SeminormedRing.toRing.{u5} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))) (Seminorm.smul.{u1, u5, u4} R 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toSMul.{u5, u4} 𝕜₂ E₂ (NegZeroClass.toZero.{u4} E₂ (SubNegZeroMonoid.toNegZeroClass.{u4} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u4} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u4} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u4} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u5, u4} 𝕜₂ E₂ (MonoidWithZero.toZero.{u5} 𝕜₂ (Semiring.toMonoidWithZero.{u5} 𝕜₂ (Ring.toSemiring.{u5} 𝕜₂ (SeminormedRing.toRing.{u5} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u4} E₂ (SubNegZeroMonoid.toNegZeroClass.{u4} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u4} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u4} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u4} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u5, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u5} 𝕜₂ (Ring.toSemiring.{u5} 𝕜₂ (SeminormedRing.toRing.{u5} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u4} E₂ (SubNegZeroMonoid.toNegZeroClass.{u4} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u4} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u4} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u4} E₂ _inst_8))))) (Module.toMulActionWithZero.{u5, u4} 𝕜₂ E₂ (Ring.toSemiring.{u5} 𝕜₂ (SeminormedRing.toRing.{u5} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13)))) _inst_17 _inst_18 _inst_19)) c p) f) (HSMul.hSMul.{u1, u2, u2} R (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (instHSMul.{u1, u2} R (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Seminorm.smul.{u1, u3, u2} R 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))) _inst_17 _inst_18 _inst_19)) c (Seminorm.comp.{u3, u5, u2, u4} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 p f))
+  forall {R : Type.{u1}} {𝕜 : Type.{u3}} {𝕜₂ : Type.{u5}} {E : Type.{u2}} {E₂ : Type.{u4}} [_inst_1 : SeminormedRing.{u3} 𝕜] [_inst_2 : SeminormedRing.{u5} 𝕜₂] {σ₁₂ : RingHom.{u3, u5} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NonAssocRing.toNonAssocSemiring.{u5} 𝕜₂ (Ring.toNonAssocRing.{u5} 𝕜₂ (SeminormedRing.toRing.{u5} 𝕜₂ _inst_2)))} [_inst_4 : RingHomIsometric.{u3, u5} 𝕜 𝕜₂ (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (Ring.toSemiring.{u5} 𝕜₂ (SeminormedRing.toRing.{u5} 𝕜₂ _inst_2)) (SeminormedRing.toNorm.{u3} 𝕜 _inst_1) (SeminormedRing.toNorm.{u5} 𝕜₂ _inst_2) σ₁₂] [_inst_7 : AddCommGroup.{u2} E] [_inst_8 : AddCommGroup.{u4} E₂] [_inst_12 : Module.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)] [_inst_13 : Module.{u5, u4} 𝕜₂ E₂ (Ring.toSemiring.{u5} 𝕜₂ (SeminormedRing.toRing.{u5} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)] [_inst_17 : SMul.{u1, 0} R Real] [_inst_18 : SMul.{u1, 0} R NNReal] [_inst_19 : IsScalarTower.{u1, 0, 0} R NNReal Real _inst_18 Seminorm.smul_nnreal_real _inst_17] (p : Seminorm.{u5, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toSMul.{u5, u4} 𝕜₂ E₂ (NegZeroClass.toZero.{u4} E₂ (SubNegZeroMonoid.toNegZeroClass.{u4} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u4} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u4} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u4} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u5, u4} 𝕜₂ E₂ (MonoidWithZero.toZero.{u5} 𝕜₂ (Semiring.toMonoidWithZero.{u5} 𝕜₂ (Ring.toSemiring.{u5} 𝕜₂ (SeminormedRing.toRing.{u5} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u4} E₂ (SubNegZeroMonoid.toNegZeroClass.{u4} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u4} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u4} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u4} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u5, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u5} 𝕜₂ (Ring.toSemiring.{u5} 𝕜₂ (SeminormedRing.toRing.{u5} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u4} E₂ (SubNegZeroMonoid.toNegZeroClass.{u4} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u4} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u4} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u4} E₂ _inst_8))))) (Module.toMulActionWithZero.{u5, u4} 𝕜₂ E₂ (Ring.toSemiring.{u5} 𝕜₂ (SeminormedRing.toRing.{u5} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))) (f : LinearMap.{u3, u5, u2, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (Ring.toSemiring.{u5} 𝕜₂ (SeminormedRing.toRing.{u5} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_12 _inst_13) (c : R), Eq.{succ u2} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Seminorm.comp.{u3, u5, u2, u4} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 (HSMul.hSMul.{u1, u4, u4} R (Seminorm.{u5, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toSMul.{u5, u4} 𝕜₂ E₂ (NegZeroClass.toZero.{u4} E₂ (SubNegZeroMonoid.toNegZeroClass.{u4} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u4} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u4} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u4} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u5, u4} 𝕜₂ E₂ (MonoidWithZero.toZero.{u5} 𝕜₂ (Semiring.toMonoidWithZero.{u5} 𝕜₂ (Ring.toSemiring.{u5} 𝕜₂ (SeminormedRing.toRing.{u5} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u4} E₂ (SubNegZeroMonoid.toNegZeroClass.{u4} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u4} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u4} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u4} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u5, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u5} 𝕜₂ (Ring.toSemiring.{u5} 𝕜₂ (SeminormedRing.toRing.{u5} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u4} E₂ (SubNegZeroMonoid.toNegZeroClass.{u4} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u4} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u4} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u4} E₂ _inst_8))))) (Module.toMulActionWithZero.{u5, u4} 𝕜₂ E₂ (Ring.toSemiring.{u5} 𝕜₂ (SeminormedRing.toRing.{u5} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))) (Seminorm.{u5, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toSMul.{u5, u4} 𝕜₂ E₂ (NegZeroClass.toZero.{u4} E₂ (SubNegZeroMonoid.toNegZeroClass.{u4} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u4} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u4} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u4} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u5, u4} 𝕜₂ E₂ (MonoidWithZero.toZero.{u5} 𝕜₂ (Semiring.toMonoidWithZero.{u5} 𝕜₂ (Ring.toSemiring.{u5} 𝕜₂ (SeminormedRing.toRing.{u5} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u4} E₂ (SubNegZeroMonoid.toNegZeroClass.{u4} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u4} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u4} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u4} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u5, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u5} 𝕜₂ (Ring.toSemiring.{u5} 𝕜₂ (SeminormedRing.toRing.{u5} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u4} E₂ (SubNegZeroMonoid.toNegZeroClass.{u4} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u4} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u4} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u4} E₂ _inst_8))))) (Module.toMulActionWithZero.{u5, u4} 𝕜₂ E₂ (Ring.toSemiring.{u5} 𝕜₂ (SeminormedRing.toRing.{u5} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))) (instHSMul.{u1, u4} R (Seminorm.{u5, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toSMul.{u5, u4} 𝕜₂ E₂ (NegZeroClass.toZero.{u4} E₂ (SubNegZeroMonoid.toNegZeroClass.{u4} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u4} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u4} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u4} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u5, u4} 𝕜₂ E₂ (MonoidWithZero.toZero.{u5} 𝕜₂ (Semiring.toMonoidWithZero.{u5} 𝕜₂ (Ring.toSemiring.{u5} 𝕜₂ (SeminormedRing.toRing.{u5} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u4} E₂ (SubNegZeroMonoid.toNegZeroClass.{u4} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u4} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u4} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u4} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u5, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u5} 𝕜₂ (Ring.toSemiring.{u5} 𝕜₂ (SeminormedRing.toRing.{u5} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u4} E₂ (SubNegZeroMonoid.toNegZeroClass.{u4} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u4} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u4} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u4} E₂ _inst_8))))) (Module.toMulActionWithZero.{u5, u4} 𝕜₂ E₂ (Ring.toSemiring.{u5} 𝕜₂ (SeminormedRing.toRing.{u5} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))) (Seminorm.instSMul.{u1, u5, u4} R 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toSMul.{u5, u4} 𝕜₂ E₂ (NegZeroClass.toZero.{u4} E₂ (SubNegZeroMonoid.toNegZeroClass.{u4} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u4} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u4} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u4} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u5, u4} 𝕜₂ E₂ (MonoidWithZero.toZero.{u5} 𝕜₂ (Semiring.toMonoidWithZero.{u5} 𝕜₂ (Ring.toSemiring.{u5} 𝕜₂ (SeminormedRing.toRing.{u5} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u4} E₂ (SubNegZeroMonoid.toNegZeroClass.{u4} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u4} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u4} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u4} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u5, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u5} 𝕜₂ (Ring.toSemiring.{u5} 𝕜₂ (SeminormedRing.toRing.{u5} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u4} E₂ (SubNegZeroMonoid.toNegZeroClass.{u4} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u4} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u4} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u4} E₂ _inst_8))))) (Module.toMulActionWithZero.{u5, u4} 𝕜₂ E₂ (Ring.toSemiring.{u5} 𝕜₂ (SeminormedRing.toRing.{u5} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13)))) _inst_17 _inst_18 _inst_19)) c p) f) (HSMul.hSMul.{u1, u2, u2} R (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (instHSMul.{u1, u2} R (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Seminorm.instSMul.{u1, u3, u2} R 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))) _inst_17 _inst_18 _inst_19)) c (Seminorm.comp.{u3, u5, u2, u4} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 p f))
 Case conversion may be inaccurate. Consider using '#align seminorm.smul_comp Seminorm.smul_compₓ'. -/
 theorem smul_comp (p : Seminorm 𝕜₂ E₂) (f : E →ₛₗ[σ₁₂] E₂) (c : R) :
     (c • p).comp f = c • p.comp f :=
@@ -527,7 +527,7 @@ theorem smul_comp (p : Seminorm 𝕜₂ E₂) (f : E →ₛₗ[σ₁₂] E₂) (
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {𝕜₂ : Type.{u2}} {E : Type.{u3}} {E₂ : Type.{u4}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : SeminormedRing.{u2} 𝕜₂] {σ₁₂ : RingHom.{u1, u2} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))} [_inst_4 : RingHomIsometric.{u1, u2} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (SeminormedRing.toHasNorm.{u1} 𝕜 _inst_1) (SeminormedRing.toHasNorm.{u2} 𝕜₂ _inst_2) σ₁₂] [_inst_7 : AddCommGroup.{u3} E] [_inst_8 : AddCommGroup.{u4} E₂] [_inst_12 : Module.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)] [_inst_13 : Module.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)] {p : Seminorm.{u2, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))} {q : Seminorm.{u2, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))} (f : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_12 _inst_13), (LE.le.{u4} (Seminorm.{u2, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))) (Preorder.toLE.{u4} (Seminorm.{u2, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))) (PartialOrder.toPreorder.{u4} (Seminorm.{u2, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))) (Seminorm.partialOrder.{u2, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))))) p q) -> (LE.le.{u3} (Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))) (Preorder.toLE.{u3} (Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))) (PartialOrder.toPreorder.{u3} (Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))) (Seminorm.partialOrder.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))))) (Seminorm.comp.{u1, u2, u3, u4} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 p f) (Seminorm.comp.{u1, u2, u3, u4} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 q f))
 but is expected to have type
-  forall {𝕜 : Type.{u2}} {𝕜₂ : Type.{u4}} {E : Type.{u1}} {E₂ : Type.{u3}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_2 : SeminormedRing.{u4} 𝕜₂] {σ₁₂ : RingHom.{u2, u4} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NonAssocRing.toNonAssocSemiring.{u4} 𝕜₂ (Ring.toNonAssocRing.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))} [_inst_4 : RingHomIsometric.{u2, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (SeminormedRing.toNorm.{u2} 𝕜 _inst_1) (SeminormedRing.toNorm.{u4} 𝕜₂ _inst_2) σ₁₂] [_inst_7 : AddCommGroup.{u1} E] [_inst_8 : AddCommGroup.{u3} E₂] [_inst_12 : Module.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7)] [_inst_13 : Module.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8)] {p : Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))} {q : Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))} (f : LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_12 _inst_13), (LE.le.{u3} (Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) (Preorder.toLE.{u3} (Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) (PartialOrder.toPreorder.{u3} (Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) (Seminorm.instPartialOrderSeminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))))) p q) -> (LE.le.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (Preorder.toLE.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (PartialOrder.toPreorder.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (Seminorm.instPartialOrderSeminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))))) (Seminorm.comp.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 p f) (Seminorm.comp.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 q f))
+  forall {𝕜 : Type.{u2}} {𝕜₂ : Type.{u4}} {E : Type.{u1}} {E₂ : Type.{u3}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_2 : SeminormedRing.{u4} 𝕜₂] {σ₁₂ : RingHom.{u2, u4} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NonAssocRing.toNonAssocSemiring.{u4} 𝕜₂ (Ring.toNonAssocRing.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))} [_inst_4 : RingHomIsometric.{u2, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (SeminormedRing.toNorm.{u2} 𝕜 _inst_1) (SeminormedRing.toNorm.{u4} 𝕜₂ _inst_2) σ₁₂] [_inst_7 : AddCommGroup.{u1} E] [_inst_8 : AddCommGroup.{u3} E₂] [_inst_12 : Module.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7)] [_inst_13 : Module.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8)] {p : Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))} {q : Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))} (f : LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_12 _inst_13), (LE.le.{u3} (Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) (Preorder.toLE.{u3} (Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) (PartialOrder.toPreorder.{u3} (Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) (Seminorm.instPartialOrder.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))))) p q) -> (LE.le.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (Preorder.toLE.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (PartialOrder.toPreorder.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (Seminorm.instPartialOrder.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))))) (Seminorm.comp.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 p f) (Seminorm.comp.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 q f))
 Case conversion may be inaccurate. Consider using '#align seminorm.comp_mono Seminorm.comp_monoₓ'. -/
 theorem comp_mono {p q : Seminorm 𝕜₂ E₂} (f : E →ₛₗ[σ₁₂] E₂) (hp : p ≤ q) : p.comp f ≤ q.comp f :=
   fun _ => hp _
@@ -537,7 +537,7 @@ theorem comp_mono {p q : Seminorm 𝕜₂ E₂} (f : E →ₛₗ[σ₁₂] E₂)
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {𝕜₂ : Type.{u2}} {E : Type.{u3}} {E₂ : Type.{u4}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : SeminormedRing.{u2} 𝕜₂] {σ₁₂ : RingHom.{u1, u2} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))} [_inst_4 : RingHomIsometric.{u1, u2} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (SeminormedRing.toHasNorm.{u1} 𝕜 _inst_1) (SeminormedRing.toHasNorm.{u2} 𝕜₂ _inst_2) σ₁₂] [_inst_7 : AddCommGroup.{u3} E] [_inst_8 : AddCommGroup.{u4} E₂] [_inst_12 : Module.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)] [_inst_13 : Module.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)], (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_12 _inst_13) -> (AddMonoidHom.{u4, u3} (Seminorm.{u2, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))) (Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))) (AddMonoid.toAddZeroClass.{u4} (Seminorm.{u2, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))) (Seminorm.addMonoid.{u2, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13)))))) (AddMonoid.toAddZeroClass.{u3} (Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))) (Seminorm.addMonoid.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12)))))))
 but is expected to have type
-  forall {𝕜 : Type.{u1}} {𝕜₂ : Type.{u2}} {E : Type.{u3}} {E₂ : Type.{u4}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : SeminormedRing.{u2} 𝕜₂] {σ₁₂ : RingHom.{u1, u2} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))} [_inst_4 : RingHomIsometric.{u1, u2} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (SeminormedRing.toNorm.{u1} 𝕜 _inst_1) (SeminormedRing.toNorm.{u2} 𝕜₂ _inst_2) σ₁₂] [_inst_7 : AddCommGroup.{u3} E] [_inst_8 : AddCommGroup.{u4} E₂] [_inst_12 : Module.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)] [_inst_13 : Module.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)], (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_12 _inst_13) -> (AddMonoidHom.{u4, u3} (Seminorm.{u2, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toSMul.{u2, u4} 𝕜₂ E₂ (NegZeroClass.toZero.{u4} E₂ (SubNegZeroMonoid.toNegZeroClass.{u4} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u4} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u4} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u4} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u2, u4} 𝕜₂ E₂ (MonoidWithZero.toZero.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u4} E₂ (SubNegZeroMonoid.toNegZeroClass.{u4} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u4} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u4} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u4} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u4} E₂ (SubNegZeroMonoid.toNegZeroClass.{u4} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u4} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u4} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u4} E₂ _inst_8))))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))) (Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toSMul.{u1, u3} 𝕜 E (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u3} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_7))))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))) (AddMonoid.toAddZeroClass.{u4} (Seminorm.{u2, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toSMul.{u2, u4} 𝕜₂ E₂ (NegZeroClass.toZero.{u4} E₂ (SubNegZeroMonoid.toNegZeroClass.{u4} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u4} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u4} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u4} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u2, u4} 𝕜₂ E₂ (MonoidWithZero.toZero.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u4} E₂ (SubNegZeroMonoid.toNegZeroClass.{u4} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u4} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u4} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u4} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u4} E₂ (SubNegZeroMonoid.toNegZeroClass.{u4} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u4} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u4} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u4} E₂ _inst_8))))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))) (Seminorm.instAddMonoidSeminorm.{u2, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toSMul.{u2, u4} 𝕜₂ E₂ (NegZeroClass.toZero.{u4} E₂ (SubNegZeroMonoid.toNegZeroClass.{u4} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u4} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u4} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u4} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u2, u4} 𝕜₂ E₂ (MonoidWithZero.toZero.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u4} E₂ (SubNegZeroMonoid.toNegZeroClass.{u4} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u4} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u4} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u4} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u4} E₂ (SubNegZeroMonoid.toNegZeroClass.{u4} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u4} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u4} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u4} E₂ _inst_8))))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13)))))) (AddMonoid.toAddZeroClass.{u3} (Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toSMul.{u1, u3} 𝕜 E (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u3} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_7))))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))) (Seminorm.instAddMonoidSeminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toSMul.{u1, u3} 𝕜 E (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u3} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_7))))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12)))))))
+  forall {𝕜 : Type.{u1}} {𝕜₂ : Type.{u2}} {E : Type.{u3}} {E₂ : Type.{u4}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : SeminormedRing.{u2} 𝕜₂] {σ₁₂ : RingHom.{u1, u2} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))} [_inst_4 : RingHomIsometric.{u1, u2} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (SeminormedRing.toNorm.{u1} 𝕜 _inst_1) (SeminormedRing.toNorm.{u2} 𝕜₂ _inst_2) σ₁₂] [_inst_7 : AddCommGroup.{u3} E] [_inst_8 : AddCommGroup.{u4} E₂] [_inst_12 : Module.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)] [_inst_13 : Module.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)], (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_12 _inst_13) -> (AddMonoidHom.{u4, u3} (Seminorm.{u2, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toSMul.{u2, u4} 𝕜₂ E₂ (NegZeroClass.toZero.{u4} E₂ (SubNegZeroMonoid.toNegZeroClass.{u4} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u4} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u4} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u4} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u2, u4} 𝕜₂ E₂ (MonoidWithZero.toZero.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u4} E₂ (SubNegZeroMonoid.toNegZeroClass.{u4} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u4} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u4} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u4} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u4} E₂ (SubNegZeroMonoid.toNegZeroClass.{u4} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u4} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u4} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u4} E₂ _inst_8))))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))) (Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toSMul.{u1, u3} 𝕜 E (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u3} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_7))))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))) (AddMonoid.toAddZeroClass.{u4} (Seminorm.{u2, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toSMul.{u2, u4} 𝕜₂ E₂ (NegZeroClass.toZero.{u4} E₂ (SubNegZeroMonoid.toNegZeroClass.{u4} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u4} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u4} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u4} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u2, u4} 𝕜₂ E₂ (MonoidWithZero.toZero.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u4} E₂ (SubNegZeroMonoid.toNegZeroClass.{u4} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u4} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u4} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u4} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u4} E₂ (SubNegZeroMonoid.toNegZeroClass.{u4} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u4} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u4} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u4} E₂ _inst_8))))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))) (Seminorm.instAddMonoid.{u2, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toSMul.{u2, u4} 𝕜₂ E₂ (NegZeroClass.toZero.{u4} E₂ (SubNegZeroMonoid.toNegZeroClass.{u4} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u4} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u4} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u4} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u2, u4} 𝕜₂ E₂ (MonoidWithZero.toZero.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u4} E₂ (SubNegZeroMonoid.toNegZeroClass.{u4} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u4} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u4} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u4} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u4} E₂ (SubNegZeroMonoid.toNegZeroClass.{u4} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u4} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u4} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u4} E₂ _inst_8))))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13)))))) (AddMonoid.toAddZeroClass.{u3} (Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toSMul.{u1, u3} 𝕜 E (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u3} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_7))))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))) (Seminorm.instAddMonoid.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toSMul.{u1, u3} 𝕜 E (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u3} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_7))))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12)))))))
 Case conversion may be inaccurate. Consider using '#align seminorm.pullback Seminorm.pullbackₓ'. -/
 /-- The composition as an `add_monoid_hom`. -/
 @[simps]
@@ -552,7 +552,7 @@ instance : OrderBot (Seminorm 𝕜 E) :=
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_7 : AddCommGroup.{u2} E] [_inst_12 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)], Eq.{succ u2} (E -> Real) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (fun (_x : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Bot.bot.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (OrderBot.toHasBot.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Preorder.toLE.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (PartialOrder.toPreorder.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Seminorm.partialOrder.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))))) (Seminorm.orderBot.{u1, u2} 𝕜 E _inst_1 _inst_7 _inst_12)))) (OfNat.ofNat.{u2} (E -> Real) 0 (OfNat.mk.{u2} (E -> Real) 0 (Zero.zero.{u2} (E -> Real) (Pi.instZero.{u2, 0} E (fun (ᾰ : E) => Real) (fun (i : E) => Real.hasZero)))))
 but is expected to have type
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_7 : AddCommGroup.{u2} E] [_inst_12 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)], Eq.{succ u2} (forall (ᾰ : E), (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) ᾰ) (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_7))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_7) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))) (Seminorm.seminormClass.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))))))) (Bot.bot.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (OrderBot.toBot.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Preorder.toLE.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (PartialOrder.toPreorder.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Seminorm.instPartialOrderSeminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))))) (Seminorm.instOrderBotSeminormToAddGroupToSMulToZeroToNegZeroClassToSubNegZeroMonoidToSubtractionMonoidToDivisionAddCommMonoidToSMulZeroClassToZeroToMonoidWithZeroToSemiringToRingToSMulWithZeroToMulActionWithZeroToAddCommMonoidToLEToPreorderInstPartialOrderSeminorm.{u1, u2} 𝕜 E _inst_1 _inst_7 _inst_12)))) (OfNat.ofNat.{u2} (forall (ᾰ : E), (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) ᾰ) 0 (Zero.toOfNat0.{u2} (forall (a : E), (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) a) (Pi.instZero.{u2, 0} E (fun (a : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) a) (fun (i : E) => Real.instZeroReal))))
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_7 : AddCommGroup.{u2} E] [_inst_12 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)], Eq.{succ u2} (forall (ᾰ : E), (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) ᾰ) (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_7))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_7) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))) (Seminorm.instSeminormClass.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))))))) (Bot.bot.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (OrderBot.toBot.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Preorder.toLE.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (PartialOrder.toPreorder.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Seminorm.instPartialOrder.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))))) (Seminorm.instOrderBot.{u1, u2} 𝕜 E _inst_1 _inst_7 _inst_12)))) (OfNat.ofNat.{u2} (forall (ᾰ : E), (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) ᾰ) 0 (Zero.toOfNat0.{u2} (forall (a : E), (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) a) (Pi.instZero.{u2, 0} E (fun (a : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) a) (fun (i : E) => Real.instZeroReal))))
 Case conversion may be inaccurate. Consider using '#align seminorm.coe_bot Seminorm.coe_botₓ'. -/
 @[simp]
 theorem coe_bot : ⇑(⊥ : Seminorm 𝕜 E) = 0 :=
@@ -563,7 +563,7 @@ theorem coe_bot : ⇑(⊥ : Seminorm 𝕜 E) = 0 :=
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_7 : AddCommGroup.{u2} E] [_inst_12 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)], Eq.{succ u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Bot.bot.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (OrderBot.toHasBot.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Preorder.toLE.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (PartialOrder.toPreorder.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Seminorm.partialOrder.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))))) (Seminorm.orderBot.{u1, u2} 𝕜 E _inst_1 _inst_7 _inst_12))) (OfNat.ofNat.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) 0 (OfNat.mk.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) 0 (Zero.zero.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Seminorm.hasZero.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))))))
 but is expected to have type
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_7 : AddCommGroup.{u2} E] [_inst_12 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)], Eq.{succ u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Bot.bot.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (OrderBot.toBot.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Preorder.toLE.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (PartialOrder.toPreorder.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Seminorm.instPartialOrderSeminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))))) (Seminorm.instOrderBotSeminormToAddGroupToSMulToZeroToNegZeroClassToSubNegZeroMonoidToSubtractionMonoidToDivisionAddCommMonoidToSMulZeroClassToZeroToMonoidWithZeroToSemiringToRingToSMulWithZeroToMulActionWithZeroToAddCommMonoidToLEToPreorderInstPartialOrderSeminorm.{u1, u2} 𝕜 E _inst_1 _inst_7 _inst_12))) (OfNat.ofNat.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) 0 (Zero.toOfNat0.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Seminorm.instZeroSeminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))))))
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_7 : AddCommGroup.{u2} E] [_inst_12 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)], Eq.{succ u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Bot.bot.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (OrderBot.toBot.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Preorder.toLE.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (PartialOrder.toPreorder.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Seminorm.instPartialOrder.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))))) (Seminorm.instOrderBot.{u1, u2} 𝕜 E _inst_1 _inst_7 _inst_12))) (OfNat.ofNat.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) 0 (Zero.toOfNat0.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Seminorm.instZero.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))))))
 Case conversion may be inaccurate. Consider using '#align seminorm.bot_eq_zero Seminorm.bot_eq_zeroₓ'. -/
 theorem bot_eq_zero : (⊥ : Seminorm 𝕜 E) = 0 :=
   rfl
@@ -573,7 +573,7 @@ theorem bot_eq_zero : (⊥ : Seminorm 𝕜 E) = 0 :=
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_7 : AddCommGroup.{u2} E] [_inst_12 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)] {p : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))} {q : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))} {a : NNReal} {b : NNReal}, (LE.le.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Preorder.toLE.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (PartialOrder.toPreorder.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Seminorm.partialOrder.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))))) p q) -> (LE.le.{0} NNReal (Preorder.toLE.{0} NNReal (PartialOrder.toPreorder.{0} NNReal (OrderedCancelAddCommMonoid.toPartialOrder.{0} NNReal (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} NNReal NNReal.strictOrderedSemiring)))) a b) -> (LE.le.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Preorder.toLE.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (PartialOrder.toPreorder.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Seminorm.partialOrder.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))))) (SMul.smul.{0, u2} NNReal (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Seminorm.hasSmul.{0, u1, u2} NNReal 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))) (MulAction.toHasSmul.{0, 0} NNReal Real (MonoidWithZero.toMonoid.{0} NNReal (Semiring.toMonoidWithZero.{0} NNReal NNReal.semiring)) (NNReal.mulAction.{0} Real (Monoid.toMulAction.{0} Real Real.monoid))) (Mul.toSMul.{0} NNReal (MulOneClass.toHasMul.{0} NNReal (Monoid.toMulOneClass.{0} NNReal (MonoidWithZero.toMonoid.{0} NNReal (Semiring.toMonoidWithZero.{0} NNReal NNReal.semiring))))) (IsScalarTower.left.{0, 0} NNReal Real (MonoidWithZero.toMonoid.{0} NNReal (Semiring.toMonoidWithZero.{0} NNReal NNReal.semiring)) (NNReal.mulAction.{0} Real (Monoid.toMulAction.{0} Real Real.monoid)))) a p) (SMul.smul.{0, u2} NNReal (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Seminorm.hasSmul.{0, u1, u2} NNReal 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))) (MulAction.toHasSmul.{0, 0} NNReal Real (MonoidWithZero.toMonoid.{0} NNReal (Semiring.toMonoidWithZero.{0} NNReal NNReal.semiring)) (NNReal.mulAction.{0} Real (Monoid.toMulAction.{0} Real Real.monoid))) (Mul.toSMul.{0} NNReal (MulOneClass.toHasMul.{0} NNReal (Monoid.toMulOneClass.{0} NNReal (MonoidWithZero.toMonoid.{0} NNReal (Semiring.toMonoidWithZero.{0} NNReal NNReal.semiring))))) (IsScalarTower.left.{0, 0} NNReal Real (MonoidWithZero.toMonoid.{0} NNReal (Semiring.toMonoidWithZero.{0} NNReal NNReal.semiring)) (NNReal.mulAction.{0} Real (Monoid.toMulAction.{0} Real Real.monoid)))) b q))
 but is expected to have type
-  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_7 : AddCommGroup.{u1} E] [_inst_12 : Module.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7)] {p : Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))} {q : Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))} {a : NNReal} {b : NNReal}, (LE.le.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (Preorder.toLE.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (PartialOrder.toPreorder.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (Seminorm.instPartialOrderSeminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))))) p q) -> (LE.le.{0} NNReal (Preorder.toLE.{0} NNReal (PartialOrder.toPreorder.{0} NNReal (StrictOrderedSemiring.toPartialOrder.{0} NNReal instNNRealStrictOrderedSemiring))) a b) -> (LE.le.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (Preorder.toLE.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (PartialOrder.toPreorder.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (Seminorm.instPartialOrderSeminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))))) (HSMul.hSMul.{0, u1, u1} NNReal (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (instHSMul.{0, u1} NNReal (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (Seminorm.smul.{0, u2, u1} NNReal 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12)))) Seminorm.smul_nnreal_real (Algebra.toSMul.{0, 0} NNReal NNReal instNNRealCommSemiring instNNRealSemiring (Algebra.id.{0} NNReal instNNRealCommSemiring)) (IsScalarTower.left.{0, 0} NNReal Real (MonoidWithZero.toMonoid.{0} NNReal (Semiring.toMonoidWithZero.{0} NNReal instNNRealSemiring)) (NNReal.instMulActionNNRealToMonoidToMonoidWithZeroInstNNRealSemiring.{0} Real (MulActionWithZero.toMulAction.{0, 0} Real Real Real.instMonoidWithZeroReal Real.instZeroReal (MonoidWithZero.toMulActionWithZero.{0} Real Real.instMonoidWithZeroReal)))))) a p) (HSMul.hSMul.{0, u1, u1} NNReal (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (instHSMul.{0, u1} NNReal (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (Seminorm.smul.{0, u2, u1} NNReal 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12)))) Seminorm.smul_nnreal_real (Algebra.toSMul.{0, 0} NNReal NNReal instNNRealCommSemiring instNNRealSemiring (Algebra.id.{0} NNReal instNNRealCommSemiring)) (IsScalarTower.left.{0, 0} NNReal Real (MonoidWithZero.toMonoid.{0} NNReal (Semiring.toMonoidWithZero.{0} NNReal instNNRealSemiring)) (NNReal.instMulActionNNRealToMonoidToMonoidWithZeroInstNNRealSemiring.{0} Real (MulActionWithZero.toMulAction.{0, 0} Real Real Real.instMonoidWithZeroReal Real.instZeroReal (MonoidWithZero.toMulActionWithZero.{0} Real Real.instMonoidWithZeroReal)))))) b q))
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_7 : AddCommGroup.{u1} E] [_inst_12 : Module.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7)] {p : Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))} {q : Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))} {a : NNReal} {b : NNReal}, (LE.le.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (Preorder.toLE.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (PartialOrder.toPreorder.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (Seminorm.instPartialOrder.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))))) p q) -> (LE.le.{0} NNReal (Preorder.toLE.{0} NNReal (PartialOrder.toPreorder.{0} NNReal (StrictOrderedSemiring.toPartialOrder.{0} NNReal instNNRealStrictOrderedSemiring))) a b) -> (LE.le.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (Preorder.toLE.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (PartialOrder.toPreorder.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (Seminorm.instPartialOrder.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))))) (HSMul.hSMul.{0, u1, u1} NNReal (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (instHSMul.{0, u1} NNReal (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (Seminorm.instSMul.{0, u2, u1} NNReal 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12)))) Seminorm.smul_nnreal_real (Algebra.toSMul.{0, 0} NNReal NNReal instNNRealCommSemiring instNNRealSemiring (Algebra.id.{0} NNReal instNNRealCommSemiring)) (IsScalarTower.left.{0, 0} NNReal Real (MonoidWithZero.toMonoid.{0} NNReal (Semiring.toMonoidWithZero.{0} NNReal instNNRealSemiring)) (NNReal.instMulActionNNRealToMonoidToMonoidWithZeroInstNNRealSemiring.{0} Real (MulActionWithZero.toMulAction.{0, 0} Real Real Real.instMonoidWithZeroReal Real.instZeroReal (MonoidWithZero.toMulActionWithZero.{0} Real Real.instMonoidWithZeroReal)))))) a p) (HSMul.hSMul.{0, u1, u1} NNReal (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (instHSMul.{0, u1} NNReal (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (Seminorm.instSMul.{0, u2, u1} NNReal 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12)))) Seminorm.smul_nnreal_real (Algebra.toSMul.{0, 0} NNReal NNReal instNNRealCommSemiring instNNRealSemiring (Algebra.id.{0} NNReal instNNRealCommSemiring)) (IsScalarTower.left.{0, 0} NNReal Real (MonoidWithZero.toMonoid.{0} NNReal (Semiring.toMonoidWithZero.{0} NNReal instNNRealSemiring)) (NNReal.instMulActionNNRealToMonoidToMonoidWithZeroInstNNRealSemiring.{0} Real (MulActionWithZero.toMulAction.{0, 0} Real Real Real.instMonoidWithZeroReal Real.instZeroReal (MonoidWithZero.toMulActionWithZero.{0} Real Real.instMonoidWithZeroReal)))))) b q))
 Case conversion may be inaccurate. Consider using '#align seminorm.smul_le_smul Seminorm.smul_le_smulₓ'. -/
 theorem smul_le_smul {p q : Seminorm 𝕜 E} {a b : ℝ≥0} (hpq : p ≤ q) (hab : a ≤ b) : a • p ≤ b • q :=
   by
@@ -585,9 +585,9 @@ theorem smul_le_smul {p q : Seminorm 𝕜 E} {a b : ℝ≥0} (hpq : p ≤ q) (ha
 
 /- warning: seminorm.finset_sup_apply -> Seminorm.finset_sup_apply is a dubious translation:
 lean 3 declaration is
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} {ι : Type.{u3}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_7 : AddCommGroup.{u2} E] [_inst_12 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)] (p : ι -> (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))))) (s : Finset.{u3} ι) (x : E), Eq.{1} Real (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (fun (_x : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 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(AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Finset.sup.{u2, u3} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) ι (Seminorm.semilatticeSup.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Seminorm.orderBot.{u1, u2} 𝕜 E _inst_1 _inst_7 _inst_12) s p) x) ((fun (a : Type) (b : Type) [self : HasLiftT.{1, 1} a b] => self.0) NNReal Real (HasLiftT.mk.{1, 1} NNReal Real (CoeTCₓ.coe.{1, 1} NNReal Real (coeBase.{1, 1} NNReal Real NNReal.Real.hasCoe))) (Finset.sup.{0, u3} NNReal ι NNReal.semilatticeSup NNReal.orderBot s (fun (i : ι) => Subtype.mk.{1} Real (fun (r : Real) => LE.le.{0} Real Real.hasLe (OfNat.ofNat.{0} Real 0 (OfNat.mk.{0} Real 0 (Zero.zero.{0} Real Real.hasZero))) r) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (fun (_x : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (p i) x) (NonnegHomClass.map_nonneg.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) E Real Real.hasZero Real.hasLe (AddGroupSeminormClass.toNonnegHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_7) (LinearOrderedSemiring.toLinearOrderedAddCommMonoid.{0} Real Real.linearOrderedSemiring) (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))) (Seminorm.seminormClass.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))))) (p i) x))))
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} {ι : Type.{u3}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_7 : AddCommGroup.{u2} E] [_inst_12 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)] (p : ι -> (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))))) (s : Finset.{u3} ι) (x : E), Eq.{1} Real (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (fun (_x : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Finset.sup.{u2, u3} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) ι (Seminorm.semilatticeSup.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Seminorm.orderBot.{u1, u2} 𝕜 E _inst_1 _inst_7 _inst_12) s p) x) ((fun (a : Type) (b : Type) [self : HasLiftT.{1, 1} a b] => self.0) NNReal Real (HasLiftT.mk.{1, 1} NNReal Real (CoeTCₓ.coe.{1, 1} NNReal Real (coeBase.{1, 1} NNReal Real NNReal.Real.hasCoe))) (Finset.sup.{0, u3} NNReal ι NNReal.semilatticeSup NNReal.orderBot s (fun (i : ι) => Subtype.mk.{1} Real (fun (r : Real) => LE.le.{0} Real Real.hasLe (OfNat.ofNat.{0} Real 0 (OfNat.mk.{0} Real 0 (Zero.zero.{0} Real Real.hasZero))) r) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (fun (_x : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (p i) x) (NonnegHomClass.map_nonneg.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) E Real Real.hasZero Real.hasLe (AddGroupSeminormClass.toNonnegHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_7) (LinearOrderedSemiring.toLinearOrderedAddCommMonoid.{0} Real Real.linearOrderedSemiring) (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))) (Seminorm.instSeminormClass.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))))) (p i) x))))
 but is expected to have type
-  forall {𝕜 : Type.{u3}} {E : Type.{u2}} {ι : Type.{u1}} [_inst_1 : SeminormedRing.{u3} 𝕜] [_inst_7 : AddCommGroup.{u2} E] [_inst_12 : Module.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)] (p : ι -> (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))))) (s : Finset.{u1} ι) (x : E), Eq.{1} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) x) (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_7))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_7) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u3, u2} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))) (Seminorm.seminormClass.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))))))) (Finset.sup.{u2, u1} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) ι (Seminorm.semilatticeSup.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Seminorm.instOrderBotSeminormToAddGroupToSMulToZeroToNegZeroClassToSubNegZeroMonoidToSubtractionMonoidToDivisionAddCommMonoidToSMulZeroClassToZeroToMonoidWithZeroToSemiringToRingToSMulWithZeroToMulActionWithZeroToAddCommMonoidToLEToPreorderInstPartialOrderSeminorm.{u3, u2} 𝕜 E _inst_1 _inst_7 _inst_12) s p) x) (NNReal.toReal (Finset.sup.{0, u1} NNReal ι instNNRealSemilatticeSup NNReal.instOrderBotNNRealToLEToPreorderToPartialOrderInstNNRealStrictOrderedSemiring s (fun (i : ι) => Subtype.mk.{1} Real (fun (r : Real) => LE.le.{0} Real Real.instLEReal (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) r) (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_7))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_7) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u3, u2} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))) (Seminorm.seminormClass.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))))))) (p i) x) (NonnegHomClass.map_nonneg.{u2, u2, 0} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) E Real (AddMonoid.toZero.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (LinearOrderedAddCommMonoid.toAddCommMonoid.{0} Real (LinearOrderedSemiring.toLinearOrderedAddCommMonoid.{0} Real Real.instLinearOrderedSemiringReal)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real (LinearOrderedAddCommMonoid.toOrderedAddCommMonoid.{0} Real (LinearOrderedSemiring.toLinearOrderedAddCommMonoid.{0} Real Real.instLinearOrderedSemiringReal))))) (AddGroupSeminormClass.toNonnegHomClass.{u2, u2, 0} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_7) (LinearOrderedSemiring.toLinearOrderedAddCommMonoid.{0} Real Real.instLinearOrderedSemiringReal) (SeminormClass.toAddGroupSeminormClass.{u2, u3, u2} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))) (Seminorm.seminormClass.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))))) (p i) x))))
+  forall {𝕜 : Type.{u3}} {E : Type.{u2}} {ι : Type.{u1}} [_inst_1 : SeminormedRing.{u3} 𝕜] [_inst_7 : AddCommGroup.{u2} E] [_inst_12 : Module.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)] (p : ι -> (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))))) (s : Finset.{u1} ι) (x : E), Eq.{1} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) x) (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_7))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_7) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u3, u2} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))) (Seminorm.instSeminormClass.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))))))) (Finset.sup.{u2, u1} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) ι (Seminorm.instSemilatticeSup.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Seminorm.instOrderBot.{u3, u2} 𝕜 E _inst_1 _inst_7 _inst_12) s p) x) (NNReal.toReal (Finset.sup.{0, u1} NNReal ι instNNRealSemilatticeSup NNReal.instOrderBotNNRealToLEToPreorderToPartialOrderInstNNRealStrictOrderedSemiring s (fun (i : ι) => Subtype.mk.{1} Real (fun (r : Real) => LE.le.{0} Real Real.instLEReal (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) r) (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_7))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_7) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u3, u2} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))) (Seminorm.instSeminormClass.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))))))) (p i) x) (NonnegHomClass.map_nonneg.{u2, u2, 0} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) E Real (AddMonoid.toZero.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (LinearOrderedAddCommMonoid.toAddCommMonoid.{0} Real (LinearOrderedSemiring.toLinearOrderedAddCommMonoid.{0} Real Real.instLinearOrderedSemiringReal)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real (LinearOrderedAddCommMonoid.toOrderedAddCommMonoid.{0} Real (LinearOrderedSemiring.toLinearOrderedAddCommMonoid.{0} Real Real.instLinearOrderedSemiringReal))))) (AddGroupSeminormClass.toNonnegHomClass.{u2, u2, 0} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_7) (LinearOrderedSemiring.toLinearOrderedAddCommMonoid.{0} Real Real.instLinearOrderedSemiringReal) (SeminormClass.toAddGroupSeminormClass.{u2, u3, u2} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))) (Seminorm.instSeminormClass.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))))) (p i) x))))
 Case conversion may be inaccurate. Consider using '#align seminorm.finset_sup_apply Seminorm.finset_sup_applyₓ'. -/
 theorem finset_sup_apply (p : ι → Seminorm 𝕜 E) (s : Finset ι) (x : E) :
     s.sup p x = ↑(s.sup fun i => ⟨p i x, map_nonneg (p i) x⟩ : ℝ≥0) :=
@@ -605,7 +605,7 @@ theorem finset_sup_apply (p : ι → Seminorm 𝕜 E) (s : Finset ι) (x : E) :
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {E : Type.{u2}} {ι : Type.{u3}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_7 : AddCommGroup.{u2} E] [_inst_12 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)] (p : ι -> (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))))) (s : Finset.{u3} ι), LE.le.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Preorder.toLE.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (PartialOrder.toPreorder.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Seminorm.partialOrder.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))))) (Finset.sup.{u2, u3} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) ι (Seminorm.semilatticeSup.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Seminorm.orderBot.{u1, u2} 𝕜 E _inst_1 _inst_7 _inst_12) s p) (Finset.sum.{u2, u3} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) ι (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Seminorm.orderedCancelAddCommMonoid.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))))) s (fun (i : ι) => p i))
 but is expected to have type
-  forall {𝕜 : Type.{u3}} {E : Type.{u2}} {ι : Type.{u1}} [_inst_1 : SeminormedRing.{u3} 𝕜] [_inst_7 : AddCommGroup.{u2} E] [_inst_12 : Module.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)] (p : ι -> (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))))) (s : Finset.{u1} ι), LE.le.{u2} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Preorder.toLE.{u2} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (PartialOrder.toPreorder.{u2} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Seminorm.instPartialOrderSeminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))))) (Finset.sup.{u2, u1} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) ι (Seminorm.semilatticeSup.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Seminorm.instOrderBotSeminormToAddGroupToSMulToZeroToNegZeroClassToSubNegZeroMonoidToSubtractionMonoidToDivisionAddCommMonoidToSMulZeroClassToZeroToMonoidWithZeroToSemiringToRingToSMulWithZeroToMulActionWithZeroToAddCommMonoidToLEToPreorderInstPartialOrderSeminorm.{u3, u2} 𝕜 E _inst_1 _inst_7 _inst_12) s p) (Finset.sum.{u2, u1} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) ι (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Seminorm.instOrderedCancelAddCommMonoidSeminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))))) s (fun (i : ι) => p i))
+  forall {𝕜 : Type.{u3}} {E : Type.{u2}} {ι : Type.{u1}} [_inst_1 : SeminormedRing.{u3} 𝕜] [_inst_7 : AddCommGroup.{u2} E] [_inst_12 : Module.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)] (p : ι -> (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))))) (s : Finset.{u1} ι), LE.le.{u2} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Preorder.toLE.{u2} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (PartialOrder.toPreorder.{u2} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Seminorm.instPartialOrder.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))))) (Finset.sup.{u2, u1} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) ι (Seminorm.instSemilatticeSup.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Seminorm.instOrderBot.{u3, u2} 𝕜 E _inst_1 _inst_7 _inst_12) s p) (Finset.sum.{u2, u1} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) ι (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Seminorm.instOrderedCancelAddCommMonoid.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))))) s (fun (i : ι) => p i))
 Case conversion may be inaccurate. Consider using '#align seminorm.finset_sup_le_sum Seminorm.finset_sup_le_sumₓ'. -/
 theorem finset_sup_le_sum (p : ι → Seminorm 𝕜 E) (s : Finset ι) : s.sup p ≤ ∑ i in s, p i := by
   classical
@@ -619,7 +619,7 @@ theorem finset_sup_le_sum (p : ι → Seminorm 𝕜 E) (s : Finset ι) : s.sup p
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {E : Type.{u2}} {ι : Type.{u3}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_7 : AddCommGroup.{u2} E] [_inst_12 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)] {p : ι -> (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))))} {s : Finset.{u3} ι} {x : E} {a : Real}, (LE.le.{0} Real Real.hasLe (OfNat.ofNat.{0} Real 0 (OfNat.mk.{0} Real 0 (Zero.zero.{0} Real Real.hasZero))) a) -> (forall (i : ι), (Membership.Mem.{u3, u3} ι (Finset.{u3} ι) (Finset.hasMem.{u3} ι) i s) -> (LE.le.{0} Real Real.hasLe (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (fun (_x : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (p i) x) a)) -> (LE.le.{0} Real Real.hasLe (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (fun (_x : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Finset.sup.{u2, u3} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) ι (Seminorm.semilatticeSup.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Seminorm.orderBot.{u1, u2} 𝕜 E _inst_1 _inst_7 _inst_12) s p) x) a)
 but is expected to have type
-  forall {𝕜 : Type.{u3}} {E : Type.{u2}} {ι : Type.{u1}} [_inst_1 : SeminormedRing.{u3} 𝕜] [_inst_7 : AddCommGroup.{u2} E] [_inst_12 : Module.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)] {p : ι -> (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))))} {s : Finset.{u1} ι} {x : E} {a : Real}, (LE.le.{0} Real Real.instLEReal (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) a) -> (forall (i : ι), (Membership.mem.{u1, u1} ι (Finset.{u1} ι) (Finset.instMembershipFinset.{u1} ι) i s) -> (LE.le.{0} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) x) Real.instLEReal (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_7))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_7) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u3, u2} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))) (Seminorm.seminormClass.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))))))) (p i) x) a)) -> (LE.le.{0} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) x) Real.instLEReal (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_7))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_7) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u3, u2} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))) (Seminorm.seminormClass.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))))))) (Finset.sup.{u2, u1} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) ι (Seminorm.semilatticeSup.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Seminorm.instOrderBotSeminormToAddGroupToSMulToZeroToNegZeroClassToSubNegZeroMonoidToSubtractionMonoidToDivisionAddCommMonoidToSMulZeroClassToZeroToMonoidWithZeroToSemiringToRingToSMulWithZeroToMulActionWithZeroToAddCommMonoidToLEToPreorderInstPartialOrderSeminorm.{u3, u2} 𝕜 E _inst_1 _inst_7 _inst_12) s p) x) a)
+  forall {𝕜 : Type.{u3}} {E : Type.{u2}} {ι : Type.{u1}} [_inst_1 : SeminormedRing.{u3} 𝕜] [_inst_7 : AddCommGroup.{u2} E] [_inst_12 : Module.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)] {p : ι -> (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))))} {s : Finset.{u1} ι} {x : E} {a : Real}, (LE.le.{0} Real Real.instLEReal (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) a) -> (forall (i : ι), (Membership.mem.{u1, u1} ι (Finset.{u1} ι) (Finset.instMembershipFinset.{u1} ι) i s) -> (LE.le.{0} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) x) Real.instLEReal (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_7))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_7) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u3, u2} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))) (Seminorm.instSeminormClass.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))))))) (p i) x) a)) -> (LE.le.{0} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) x) Real.instLEReal (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_7))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_7) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u3, u2} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))) (Seminorm.instSeminormClass.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))))))) (Finset.sup.{u2, u1} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) ι (Seminorm.instSemilatticeSup.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Seminorm.instOrderBot.{u3, u2} 𝕜 E _inst_1 _inst_7 _inst_12) s p) x) a)
 Case conversion may be inaccurate. Consider using '#align seminorm.finset_sup_apply_le Seminorm.finset_sup_apply_leₓ'. -/
 theorem finset_sup_apply_le {p : ι → Seminorm 𝕜 E} {s : Finset ι} {x : E} {a : ℝ} (ha : 0 ≤ a)
     (h : ∀ i, i ∈ s → p i x ≤ a) : s.sup p x ≤ a :=
@@ -633,7 +633,7 @@ theorem finset_sup_apply_le {p : ι → Seminorm 𝕜 E} {s : Finset ι} {x : E}
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {E : Type.{u2}} {ι : Type.{u3}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_7 : AddCommGroup.{u2} E] [_inst_12 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)] {p : ι -> (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))))} {s : Finset.{u3} ι} {x : E} {a : Real}, (LT.lt.{0} Real Real.hasLt (OfNat.ofNat.{0} Real 0 (OfNat.mk.{0} Real 0 (Zero.zero.{0} Real Real.hasZero))) a) -> (forall (i : ι), (Membership.Mem.{u3, u3} ι (Finset.{u3} ι) (Finset.hasMem.{u3} ι) i s) -> (LT.lt.{0} Real Real.hasLt (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (fun (_x : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (p i) x) a)) -> (LT.lt.{0} Real Real.hasLt (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (fun (_x : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Finset.sup.{u2, u3} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) ι (Seminorm.semilatticeSup.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Seminorm.orderBot.{u1, u2} 𝕜 E _inst_1 _inst_7 _inst_12) s p) x) a)
 but is expected to have type
-  forall {𝕜 : Type.{u3}} {E : Type.{u2}} {ι : Type.{u1}} [_inst_1 : SeminormedRing.{u3} 𝕜] [_inst_7 : AddCommGroup.{u2} E] [_inst_12 : Module.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)] {p : ι -> (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))))} {s : Finset.{u1} ι} {x : E} {a : Real}, (LT.lt.{0} Real Real.instLTReal (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) a) -> (forall (i : ι), (Membership.mem.{u1, u1} ι (Finset.{u1} ι) (Finset.instMembershipFinset.{u1} ι) i s) -> (LT.lt.{0} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) x) Real.instLTReal (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_7))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_7) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u3, u2} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))) (Seminorm.seminormClass.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))))))) (p i) x) a)) -> (LT.lt.{0} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) x) Real.instLTReal (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_7))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_7) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u3, u2} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))) (Seminorm.seminormClass.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))))))) (Finset.sup.{u2, u1} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) ι (Seminorm.semilatticeSup.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Seminorm.instOrderBotSeminormToAddGroupToSMulToZeroToNegZeroClassToSubNegZeroMonoidToSubtractionMonoidToDivisionAddCommMonoidToSMulZeroClassToZeroToMonoidWithZeroToSemiringToRingToSMulWithZeroToMulActionWithZeroToAddCommMonoidToLEToPreorderInstPartialOrderSeminorm.{u3, u2} 𝕜 E _inst_1 _inst_7 _inst_12) s p) x) a)
+  forall {𝕜 : Type.{u3}} {E : Type.{u2}} {ι : Type.{u1}} [_inst_1 : SeminormedRing.{u3} 𝕜] [_inst_7 : AddCommGroup.{u2} E] [_inst_12 : Module.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)] {p : ι -> (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))))} {s : Finset.{u1} ι} {x : E} {a : Real}, (LT.lt.{0} Real Real.instLTReal (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) a) -> (forall (i : ι), (Membership.mem.{u1, u1} ι (Finset.{u1} ι) (Finset.instMembershipFinset.{u1} ι) i s) -> (LT.lt.{0} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) x) Real.instLTReal (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_7))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_7) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u3, u2} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))) (Seminorm.instSeminormClass.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))))))) (p i) x) a)) -> (LT.lt.{0} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) x) Real.instLTReal (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_7))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_7) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u3, u2} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))) (Seminorm.instSeminormClass.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))))))) (Finset.sup.{u2, u1} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) ι (Seminorm.instSemilatticeSup.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Seminorm.instOrderBot.{u3, u2} 𝕜 E _inst_1 _inst_7 _inst_12) s p) x) a)
 Case conversion may be inaccurate. Consider using '#align seminorm.finset_sup_apply_lt Seminorm.finset_sup_apply_ltₓ'. -/
 theorem finset_sup_apply_lt {p : ι → Seminorm 𝕜 E} {s : Finset ι} {x : E} {a : ℝ} (ha : 0 < a)
     (h : ∀ i, i ∈ s → p i x < a) : s.sup p x < a :=
@@ -648,7 +648,7 @@ theorem finset_sup_apply_lt {p : ι → Seminorm 𝕜 E} {s : Finset ι} {x : E}
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_7 : AddCommGroup.{u2} E] [_inst_12 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)] (p : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (x : E) (y : E), LE.le.{0} Real Real.hasLe (Norm.norm.{0} Real Real.hasNorm (HSub.hSub.{0, 0, 0} Real Real Real (instHSub.{0} Real Real.hasSub) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (fun (_x : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) p x) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (fun (_x : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) p y))) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (fun (_x : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) p (HSub.hSub.{u2, u2, u2} E E E (instHSub.{u2} E (SubNegMonoid.toHasSub.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_7)))) x y))
 but is expected to have type
-  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_7 : AddCommGroup.{u1} E] [_inst_12 : Module.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7)] (p : Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (x : E) (y : E), LE.le.{0} Real Real.instLEReal (Norm.norm.{0} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) x) Real.norm (HSub.hSub.{0, 0, 0} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) x) ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) y) ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) x) (instHSub.{0} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) x) Real.instSubReal) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_7))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) E Real (AddCommGroup.toAddGroup.{u1} E _inst_7) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12)))) (Seminorm.seminormClass.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12)))))))) p x) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_7))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) E Real (AddCommGroup.toAddGroup.{u1} E _inst_7) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12)))) (Seminorm.seminormClass.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12)))))))) p y))) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_7))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) E Real (AddCommGroup.toAddGroup.{u1} E _inst_7) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12)))) (Seminorm.seminormClass.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12)))))))) p (HSub.hSub.{u1, u1, u1} E E E (instHSub.{u1} E (SubNegMonoid.toSub.{u1} E (AddGroup.toSubNegMonoid.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_7)))) x y))
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_7 : AddCommGroup.{u1} E] [_inst_12 : Module.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7)] (p : Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (x : E) (y : E), LE.le.{0} Real Real.instLEReal (Norm.norm.{0} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) x) Real.norm (HSub.hSub.{0, 0, 0} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) x) ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) y) ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) x) (instHSub.{0} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) x) Real.instSubReal) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_7))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) E Real (AddCommGroup.toAddGroup.{u1} E _inst_7) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12)))) (Seminorm.instSeminormClass.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12)))))))) p x) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_7))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) E Real (AddCommGroup.toAddGroup.{u1} E _inst_7) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12)))) (Seminorm.instSeminormClass.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12)))))))) p y))) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_7))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) E Real (AddCommGroup.toAddGroup.{u1} E _inst_7) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12)))) (Seminorm.instSeminormClass.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12)))))))) p (HSub.hSub.{u1, u1, u1} E E E (instHSub.{u1} E (SubNegMonoid.toSub.{u1} E (AddGroup.toSubNegMonoid.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_7)))) x y))
 Case conversion may be inaccurate. Consider using '#align seminorm.norm_sub_map_le_sub Seminorm.norm_sub_map_le_subₓ'. -/
 theorem norm_sub_map_le_sub (p : Seminorm 𝕜 E) (x y : E) : ‖p x - p y‖ ≤ p (x - y) :=
   abs_sub_map_le_sub p x y
@@ -670,7 +670,7 @@ variable [AddCommGroup E] [AddCommGroup E₂] [Module 𝕜 E] [Module 𝕜₂ E
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {𝕜₂ : Type.{u2}} {E : Type.{u3}} {E₂ : Type.{u4}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : SeminormedCommRing.{u2} 𝕜₂] {σ₁₂ : RingHom.{u1, u2} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))))} [_inst_3 : RingHomIsometric.{u1, u2} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))) (SeminormedRing.toHasNorm.{u1} 𝕜 _inst_1) (SeminormedRing.toHasNorm.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2)) σ₁₂] [_inst_4 : AddCommGroup.{u3} E] [_inst_5 : AddCommGroup.{u4} E₂] [_inst_6 : Module.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)] [_inst_7 : Module.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)] (p : Seminorm.{u2, u4} 𝕜₂ E₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2) (AddCommGroup.toAddGroup.{u4} E₂ _inst_5) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2)))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_7))))) (f : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_4) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_6 _inst_7) (c : 𝕜₂), Eq.{succ u3} (Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_4) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_4) _inst_6))))) (Seminorm.comp.{u1, u2, u3, u4} 𝕜 𝕜₂ E E₂ _inst_1 (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2) σ₁₂ _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 p (SMul.smul.{u2, max u3 u4} 𝕜₂ (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_4) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_6 _inst_7) (LinearMap.hasSmul.{u1, u2, u2, u3, u4} 𝕜 𝕜₂ 𝕜₂ E E₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_4) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_6 _inst_7 σ₁₂ (Ring.toMonoid.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))) (Module.toDistribMulAction.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_7) (smulCommClass_self.{u2, u4} 𝕜₂ E₂ (CommRing.toCommMonoid.{u2} 𝕜₂ (SeminormedCommRing.toCommRing.{u2} 𝕜₂ _inst_2)) (MulActionWithZero.toMulAction.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2)))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_7)))) c f)) (SMul.smul.{0, u3} NNReal (Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_4) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_4) _inst_6))))) (Seminorm.hasSmul.{0, u1, u3} NNReal 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_4) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_4) _inst_6)))) (MulAction.toHasSmul.{0, 0} NNReal Real (MonoidWithZero.toMonoid.{0} NNReal (Semiring.toMonoidWithZero.{0} NNReal NNReal.semiring)) (NNReal.mulAction.{0} Real (Monoid.toMulAction.{0} Real Real.monoid))) (Mul.toSMul.{0} NNReal (MulOneClass.toHasMul.{0} NNReal (Monoid.toMulOneClass.{0} NNReal (MonoidWithZero.toMonoid.{0} NNReal (Semiring.toMonoidWithZero.{0} NNReal NNReal.semiring))))) (IsScalarTower.left.{0, 0} NNReal Real (MonoidWithZero.toMonoid.{0} NNReal (Semiring.toMonoidWithZero.{0} NNReal NNReal.semiring)) (NNReal.mulAction.{0} Real (Monoid.toMulAction.{0} Real Real.monoid)))) (NNNorm.nnnorm.{u2} 𝕜₂ (SeminormedAddGroup.toNNNorm.{u2} 𝕜₂ (SeminormedAddCommGroup.toSeminormedAddGroup.{u2} 𝕜₂ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜₂ (SeminormedRing.toNonUnitalSeminormedRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))))) c) (Seminorm.comp.{u1, u2, u3, u4} 𝕜 𝕜₂ E E₂ _inst_1 (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2) σ₁₂ _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 p f))
 but is expected to have type
-  forall {𝕜 : Type.{u2}} {𝕜₂ : Type.{u4}} {E : Type.{u1}} {E₂ : Type.{u3}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_2 : SeminormedCommRing.{u4} 𝕜₂] {σ₁₂ : RingHom.{u2, u4} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NonAssocRing.toNonAssocSemiring.{u4} 𝕜₂ (Ring.toNonAssocRing.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2))))} [_inst_3 : RingHomIsometric.{u2, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2))) (SeminormedRing.toNorm.{u2} 𝕜 _inst_1) (SeminormedRing.toNorm.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2)) σ₁₂] [_inst_4 : AddCommGroup.{u1} E] [_inst_5 : AddCommGroup.{u3} E₂] [_inst_6 : Module.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4)] [_inst_7 : Module.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5)] (p : Seminorm.{u4, u3} 𝕜₂ E₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2) (AddCommGroup.toAddGroup.{u3} E₂ _inst_5) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (CommMonoidWithZero.toZero.{u4} 𝕜₂ (CommSemiring.toCommMonoidWithZero.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_7))))) (f : LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2))) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_6 _inst_7) (c : 𝕜₂), Eq.{succ u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_4) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) _inst_6))))) (Seminorm.comp.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ _inst_1 (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2) σ₁₂ _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 p (HSMul.hSMul.{u4, max u1 u3, max u1 u3} 𝕜₂ (LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2))) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_6 _inst_7) (LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2))) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_6 _inst_7) (instHSMul.{u4, max u1 u3} 𝕜₂ (LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2))) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_6 _inst_7) (LinearMap.instSMulLinearMap.{u2, u4, u4, u1, u3} 𝕜 𝕜₂ 𝕜₂ E E₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_6 _inst_7 σ₁₂ (MonoidWithZero.toMonoid.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2))))) (Module.toDistribMulAction.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_7) (smulCommClass_self.{u4, u3} 𝕜₂ E₂ (CommRing.toCommMonoid.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2)) (MulActionWithZero.toMulAction.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_7))))) c f)) (HSMul.hSMul.{0, u1, u1} NNReal (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_4) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) _inst_6))))) (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_4) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) _inst_6))))) (instHSMul.{0, u1} NNReal (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_4) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) _inst_6))))) (Seminorm.smul.{0, u2, u1} NNReal 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_4) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) _inst_6)))) Seminorm.smul_nnreal_real (Algebra.toSMul.{0, 0} NNReal NNReal instNNRealCommSemiring instNNRealSemiring (Algebra.id.{0} NNReal instNNRealCommSemiring)) (IsScalarTower.left.{0, 0} NNReal Real (MonoidWithZero.toMonoid.{0} NNReal (Semiring.toMonoidWithZero.{0} NNReal instNNRealSemiring)) (NNReal.instMulActionNNRealToMonoidToMonoidWithZeroInstNNRealSemiring.{0} Real (MulActionWithZero.toMulAction.{0, 0} Real Real Real.instMonoidWithZeroReal Real.instZeroReal (MonoidWithZero.toMulActionWithZero.{0} Real Real.instMonoidWithZeroReal)))))) (NNNorm.nnnorm.{u4} 𝕜₂ (SeminormedAddGroup.toNNNorm.{u4} 𝕜₂ (SeminormedAddCommGroup.toSeminormedAddGroup.{u4} 𝕜₂ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u4} 𝕜₂ (SeminormedRing.toNonUnitalSeminormedRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2))))) c) (Seminorm.comp.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ _inst_1 (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2) σ₁₂ _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 p f))
+  forall {𝕜 : Type.{u2}} {𝕜₂ : Type.{u4}} {E : Type.{u1}} {E₂ : Type.{u3}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_2 : SeminormedCommRing.{u4} 𝕜₂] {σ₁₂ : RingHom.{u2, u4} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NonAssocRing.toNonAssocSemiring.{u4} 𝕜₂ (Ring.toNonAssocRing.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2))))} [_inst_3 : RingHomIsometric.{u2, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2))) (SeminormedRing.toNorm.{u2} 𝕜 _inst_1) (SeminormedRing.toNorm.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2)) σ₁₂] [_inst_4 : AddCommGroup.{u1} E] [_inst_5 : AddCommGroup.{u3} E₂] [_inst_6 : Module.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4)] [_inst_7 : Module.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5)] (p : Seminorm.{u4, u3} 𝕜₂ E₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2) (AddCommGroup.toAddGroup.{u3} E₂ _inst_5) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (CommMonoidWithZero.toZero.{u4} 𝕜₂ (CommSemiring.toCommMonoidWithZero.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_7))))) (f : LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2))) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_6 _inst_7) (c : 𝕜₂), Eq.{succ u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_4) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) _inst_6))))) (Seminorm.comp.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ _inst_1 (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2) σ₁₂ _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 p (HSMul.hSMul.{u4, max u1 u3, max u1 u3} 𝕜₂ (LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2))) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_6 _inst_7) (LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2))) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_6 _inst_7) (instHSMul.{u4, max u1 u3} 𝕜₂ (LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2))) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_6 _inst_7) (LinearMap.instSMulLinearMap.{u2, u4, u4, u1, u3} 𝕜 𝕜₂ 𝕜₂ E E₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_6 _inst_7 σ₁₂ (MonoidWithZero.toMonoid.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2))))) (Module.toDistribMulAction.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_7) (smulCommClass_self.{u4, u3} 𝕜₂ E₂ (CommRing.toCommMonoid.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2)) (MulActionWithZero.toMulAction.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_7))))) c f)) (HSMul.hSMul.{0, u1, u1} NNReal (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_4) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) _inst_6))))) (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_4) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) _inst_6))))) (instHSMul.{0, u1} NNReal (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_4) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) _inst_6))))) (Seminorm.instSMul.{0, u2, u1} NNReal 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_4) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) _inst_6)))) Seminorm.smul_nnreal_real (Algebra.toSMul.{0, 0} NNReal NNReal instNNRealCommSemiring instNNRealSemiring (Algebra.id.{0} NNReal instNNRealCommSemiring)) (IsScalarTower.left.{0, 0} NNReal Real (MonoidWithZero.toMonoid.{0} NNReal (Semiring.toMonoidWithZero.{0} NNReal instNNRealSemiring)) (NNReal.instMulActionNNRealToMonoidToMonoidWithZeroInstNNRealSemiring.{0} Real (MulActionWithZero.toMulAction.{0, 0} Real Real Real.instMonoidWithZeroReal Real.instZeroReal (MonoidWithZero.toMulActionWithZero.{0} Real Real.instMonoidWithZeroReal)))))) (NNNorm.nnnorm.{u4} 𝕜₂ (SeminormedAddGroup.toNNNorm.{u4} 𝕜₂ (SeminormedAddCommGroup.toSeminormedAddGroup.{u4} 𝕜₂ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u4} 𝕜₂ (SeminormedRing.toNonUnitalSeminormedRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2))))) c) (Seminorm.comp.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ _inst_1 (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2) σ₁₂ _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 p f))
 Case conversion may be inaccurate. Consider using '#align seminorm.comp_smul Seminorm.comp_smulₓ'. -/
 theorem comp_smul (p : Seminorm 𝕜₂ E₂) (f : E →ₛₗ[σ₁₂] E₂) (c : 𝕜₂) :
     p.comp (c • f) = ‖c‖₊ • p.comp f :=
@@ -683,7 +683,7 @@ theorem comp_smul (p : Seminorm 𝕜₂ E₂) (f : E →ₛₗ[σ₁₂] E₂) (
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {𝕜₂ : Type.{u2}} {E : Type.{u3}} {E₂ : Type.{u4}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : SeminormedCommRing.{u2} 𝕜₂] {σ₁₂ : RingHom.{u1, u2} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))))} [_inst_3 : RingHomIsometric.{u1, u2} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))) (SeminormedRing.toHasNorm.{u1} 𝕜 _inst_1) (SeminormedRing.toHasNorm.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2)) σ₁₂] [_inst_4 : AddCommGroup.{u3} E] [_inst_5 : AddCommGroup.{u4} E₂] [_inst_6 : Module.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)] [_inst_7 : Module.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)] (p : Seminorm.{u2, u4} 𝕜₂ E₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2) (AddCommGroup.toAddGroup.{u4} E₂ _inst_5) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2)))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_7))))) (f : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_4) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_6 _inst_7) (c : 𝕜₂) (x : E), Eq.{1} Real (coeFn.{succ u3, succ u3} (Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_4) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_4) _inst_6))))) (fun (_x : Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_4) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_4) _inst_6))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_4) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_4) _inst_6))))) (Seminorm.comp.{u1, u2, u3, u4} 𝕜 𝕜₂ E E₂ _inst_1 (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2) σ₁₂ _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 p (SMul.smul.{u2, max u3 u4} 𝕜₂ (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_4) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_6 _inst_7) (LinearMap.hasSmul.{u1, u2, u2, u3, u4} 𝕜 𝕜₂ 𝕜₂ E E₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_4) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_6 _inst_7 σ₁₂ (Ring.toMonoid.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))) (Module.toDistribMulAction.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_7) (smulCommClass_self.{u2, u4} 𝕜₂ E₂ (CommRing.toCommMonoid.{u2} 𝕜₂ (SeminormedCommRing.toCommRing.{u2} 𝕜₂ _inst_2)) (MulActionWithZero.toMulAction.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2)))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_7)))) c f)) x) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) (Norm.norm.{u2} 𝕜₂ (SeminormedRing.toHasNorm.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2)) c) (coeFn.{succ u4, succ u4} (Seminorm.{u2, u4} 𝕜₂ E₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2) (AddCommGroup.toAddGroup.{u4} E₂ _inst_5) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2)))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_7))))) (fun (_x : Seminorm.{u2, u4} 𝕜₂ E₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2) (AddCommGroup.toAddGroup.{u4} E₂ _inst_5) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2)))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_7))))) => E₂ -> Real) (Seminorm.hasCoeToFun.{u2, u4} 𝕜₂ E₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2) (AddCommGroup.toAddGroup.{u4} E₂ _inst_5) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2)))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_7))))) p (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_4) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_6 _inst_7) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_4) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_6 _inst_7) => E -> E₂) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜 𝕜₂ E E₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_4) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_6 _inst_7 σ₁₂) f x)))
 but is expected to have type
-  forall {𝕜 : Type.{u2}} {𝕜₂ : Type.{u4}} {E : Type.{u1}} {E₂ : Type.{u3}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_2 : SeminormedCommRing.{u4} 𝕜₂] {σ₁₂ : RingHom.{u2, u4} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NonAssocRing.toNonAssocSemiring.{u4} 𝕜₂ (Ring.toNonAssocRing.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2))))} [_inst_3 : RingHomIsometric.{u2, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2))) (SeminormedRing.toNorm.{u2} 𝕜 _inst_1) (SeminormedRing.toNorm.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2)) σ₁₂] [_inst_4 : AddCommGroup.{u1} E] [_inst_5 : AddCommGroup.{u3} E₂] [_inst_6 : Module.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4)] [_inst_7 : Module.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5)] (p : Seminorm.{u4, u3} 𝕜₂ E₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2) (AddCommGroup.toAddGroup.{u3} E₂ _inst_5) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (CommMonoidWithZero.toZero.{u4} 𝕜₂ (CommSemiring.toCommMonoidWithZero.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_7))))) (f : LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2))) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_6 _inst_7) (c : 𝕜₂) (x : E), Eq.{1} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) x) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_4) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) _inst_6))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_4) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) _inst_6))))) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_4))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_4) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) _inst_6))))) E Real (AddCommGroup.toAddGroup.{u1} E _inst_4) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_4) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) _inst_6))))) 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_4) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) _inst_6)))) (Seminorm.seminormClass.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_4) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) _inst_6)))))))) (Seminorm.comp.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ _inst_1 (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2) σ₁₂ _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 p (HSMul.hSMul.{u4, max u1 u3, max u1 u3} 𝕜₂ (LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2))) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_6 _inst_7) (LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2))) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_6 _inst_7) (instHSMul.{u4, max u1 u3} 𝕜₂ (LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2))) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_6 _inst_7) (LinearMap.instSMulLinearMap.{u2, u4, u4, u1, u3} 𝕜 𝕜₂ 𝕜₂ E E₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_6 _inst_7 σ₁₂ (MonoidWithZero.toMonoid.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2))))) (Module.toDistribMulAction.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_7) (smulCommClass_self.{u4, u3} 𝕜₂ E₂ (CommRing.toCommMonoid.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2)) (MulActionWithZero.toMulAction.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_7))))) c f)) x) (HMul.hMul.{0, 0, 0} Real ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E₂) => Real) (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2))) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_6 _inst_7) E (fun (a : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : E) => E₂) a) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_6 _inst_7 σ₁₂) f x)) Real (instHMul.{0} Real Real.instMulReal) (Norm.norm.{u4} 𝕜₂ (SeminormedRing.toNorm.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2)) c) (FunLike.coe.{succ u3, succ u3, 1} (Seminorm.{u4, u3} 𝕜₂ E₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2) (AddCommGroup.toAddGroup.{u3} E₂ _inst_5) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (CommMonoidWithZero.toZero.{u4} 𝕜₂ (CommSemiring.toCommMonoidWithZero.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_7))))) E₂ (fun (_x : E₂) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E₂) => Real) _x) (SubadditiveHomClass.toFunLike.{u3, u3, 0} (Seminorm.{u4, u3} 𝕜₂ E₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2) (AddCommGroup.toAddGroup.{u3} E₂ _inst_5) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (CommMonoidWithZero.toZero.{u4} 𝕜₂ (CommSemiring.toCommMonoidWithZero.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_7))))) E₂ Real (AddZeroClass.toAdd.{u3} E₂ (AddMonoid.toAddZeroClass.{u3} E₂ (SubNegMonoid.toAddMonoid.{u3} E₂ (AddGroup.toSubNegMonoid.{u3} E₂ (AddCommGroup.toAddGroup.{u3} E₂ _inst_5))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u3, u3, 0} (Seminorm.{u4, u3} 𝕜₂ E₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2) (AddCommGroup.toAddGroup.{u3} E₂ _inst_5) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (CommMonoidWithZero.toZero.{u4} 𝕜₂ (CommSemiring.toCommMonoidWithZero.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_7))))) E₂ Real (AddCommGroup.toAddGroup.{u3} E₂ _inst_5) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u3, u4, u3} (Seminorm.{u4, u3} 𝕜₂ E₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2) (AddCommGroup.toAddGroup.{u3} E₂ _inst_5) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (CommMonoidWithZero.toZero.{u4} 𝕜₂ (CommSemiring.toCommMonoidWithZero.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_7))))) 𝕜₂ E₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2) (AddCommGroup.toAddGroup.{u3} E₂ _inst_5) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (CommMonoidWithZero.toZero.{u4} 𝕜₂ (CommSemiring.toCommMonoidWithZero.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_7)))) (Seminorm.seminormClass.{u4, u3} 𝕜₂ E₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2) (AddCommGroup.toAddGroup.{u3} E₂ _inst_5) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (CommMonoidWithZero.toZero.{u4} 𝕜₂ (CommSemiring.toCommMonoidWithZero.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_7)))))))) p (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2))) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_6 _inst_7) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : E) => E₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_6 _inst_7 σ₁₂) f x)))
+  forall {𝕜 : Type.{u2}} {𝕜₂ : Type.{u4}} {E : Type.{u1}} {E₂ : Type.{u3}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_2 : SeminormedCommRing.{u4} 𝕜₂] {σ₁₂ : RingHom.{u2, u4} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NonAssocRing.toNonAssocSemiring.{u4} 𝕜₂ (Ring.toNonAssocRing.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2))))} [_inst_3 : RingHomIsometric.{u2, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2))) (SeminormedRing.toNorm.{u2} 𝕜 _inst_1) (SeminormedRing.toNorm.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2)) σ₁₂] [_inst_4 : AddCommGroup.{u1} E] [_inst_5 : AddCommGroup.{u3} E₂] [_inst_6 : Module.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4)] [_inst_7 : Module.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5)] (p : Seminorm.{u4, u3} 𝕜₂ E₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2) (AddCommGroup.toAddGroup.{u3} E₂ _inst_5) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (CommMonoidWithZero.toZero.{u4} 𝕜₂ (CommSemiring.toCommMonoidWithZero.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_7))))) (f : LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2))) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_6 _inst_7) (c : 𝕜₂) (x : E), Eq.{1} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) x) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_4) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) _inst_6))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_4) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) _inst_6))))) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_4))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_4) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) _inst_6))))) E Real (AddCommGroup.toAddGroup.{u1} E _inst_4) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_4) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) _inst_6))))) 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_4) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) _inst_6)))) (Seminorm.instSeminormClass.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_4) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) _inst_6)))))))) (Seminorm.comp.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ _inst_1 (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2) σ₁₂ _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 p (HSMul.hSMul.{u4, max u1 u3, max u1 u3} 𝕜₂ (LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2))) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_6 _inst_7) (LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2))) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_6 _inst_7) (instHSMul.{u4, max u1 u3} 𝕜₂ (LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2))) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_6 _inst_7) (LinearMap.instSMulLinearMap.{u2, u4, u4, u1, u3} 𝕜 𝕜₂ 𝕜₂ E E₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_6 _inst_7 σ₁₂ (MonoidWithZero.toMonoid.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2))))) (Module.toDistribMulAction.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_7) (smulCommClass_self.{u4, u3} 𝕜₂ E₂ (CommRing.toCommMonoid.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2)) (MulActionWithZero.toMulAction.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_7))))) c f)) x) (HMul.hMul.{0, 0, 0} Real ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E₂) => Real) (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2))) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_6 _inst_7) E (fun (a : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : E) => E₂) a) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_6 _inst_7 σ₁₂) f x)) Real (instHMul.{0} Real Real.instMulReal) (Norm.norm.{u4} 𝕜₂ (SeminormedRing.toNorm.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2)) c) (FunLike.coe.{succ u3, succ u3, 1} (Seminorm.{u4, u3} 𝕜₂ E₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2) (AddCommGroup.toAddGroup.{u3} E₂ _inst_5) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (CommMonoidWithZero.toZero.{u4} 𝕜₂ (CommSemiring.toCommMonoidWithZero.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_7))))) E₂ (fun (_x : E₂) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E₂) => Real) _x) (SubadditiveHomClass.toFunLike.{u3, u3, 0} (Seminorm.{u4, u3} 𝕜₂ E₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2) (AddCommGroup.toAddGroup.{u3} E₂ _inst_5) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (CommMonoidWithZero.toZero.{u4} 𝕜₂ (CommSemiring.toCommMonoidWithZero.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_7))))) E₂ Real (AddZeroClass.toAdd.{u3} E₂ (AddMonoid.toAddZeroClass.{u3} E₂ (SubNegMonoid.toAddMonoid.{u3} E₂ (AddGroup.toSubNegMonoid.{u3} E₂ (AddCommGroup.toAddGroup.{u3} E₂ _inst_5))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u3, u3, 0} (Seminorm.{u4, u3} 𝕜₂ E₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2) (AddCommGroup.toAddGroup.{u3} E₂ _inst_5) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (CommMonoidWithZero.toZero.{u4} 𝕜₂ (CommSemiring.toCommMonoidWithZero.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_7))))) E₂ Real (AddCommGroup.toAddGroup.{u3} E₂ _inst_5) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u3, u4, u3} (Seminorm.{u4, u3} 𝕜₂ E₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2) (AddCommGroup.toAddGroup.{u3} E₂ _inst_5) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (CommMonoidWithZero.toZero.{u4} 𝕜₂ (CommSemiring.toCommMonoidWithZero.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_7))))) 𝕜₂ E₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2) (AddCommGroup.toAddGroup.{u3} E₂ _inst_5) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (CommMonoidWithZero.toZero.{u4} 𝕜₂ (CommSemiring.toCommMonoidWithZero.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_7)))) (Seminorm.instSeminormClass.{u4, u3} 𝕜₂ E₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2) (AddCommGroup.toAddGroup.{u3} E₂ _inst_5) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (CommMonoidWithZero.toZero.{u4} 𝕜₂ (CommSemiring.toCommMonoidWithZero.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_7)))))))) p (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2))) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_6 _inst_7) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : E) => E₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_6 _inst_7 σ₁₂) f x)))
 Case conversion may be inaccurate. Consider using '#align seminorm.comp_smul_apply Seminorm.comp_smul_applyₓ'. -/
 theorem comp_smul_apply (p : Seminorm 𝕜₂ E₂) (f : E →ₛₗ[σ₁₂] E₂) (c : 𝕜₂) (x : E) :
     p.comp (c • f) x = ‖c‖ * p (f x) :=
@@ -700,7 +700,7 @@ variable [NormedField 𝕜] [AddCommGroup E] [Module 𝕜 E] {p q : Seminorm 
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {p : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))} {q : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))} {x : E}, BddBelow.{0} Real Real.preorder (Set.range.{0, succ u2} Real E (fun (u : E) => HAdd.hAdd.{0, 0, 0} Real Real Real (instHAdd.{0} Real Real.hasAdd) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (fun (_x : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) p u) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (fun (_x : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) q (HSub.hSub.{u2, u2, u2} E E E (instHSub.{u2} E (SubNegMonoid.toHasSub.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)))) x u))))
 but is expected to have type
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {p : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))} {q : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))} {x : E}, BddBelow.{0} Real Real.instPreorderReal (Set.range.{0, succ u2} Real E (fun (u : E) => HAdd.hAdd.{0, 0, 0} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) u) ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) (HSub.hSub.{u2, u2, u2} E E E (instHSub.{u2} E (SubNegMonoid.toSub.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)))) x u)) ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) u) 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(NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Seminorm.seminormClass.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))))) p u) (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Seminorm.seminormClass.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))))) q (HSub.hSub.{u2, u2, u2} E E E (instHSub.{u2} E (SubNegMonoid.toSub.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)))) x u))))
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {p : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))} {q : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))} {x : E}, BddBelow.{0} Real Real.instPreorderReal (Set.range.{0, succ u2} Real E (fun (u : E) => HAdd.hAdd.{0, 0, 0} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) u) ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) (HSub.hSub.{u2, u2, u2} E E E (instHSub.{u2} E (SubNegMonoid.toSub.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)))) x u)) ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) u) (instHAdd.{0} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) u) Real.instAddReal) (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Seminorm.instSeminormClass.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))))) p u) (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E 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(Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Seminorm.instSeminormClass.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))))) q (HSub.hSub.{u2, u2, u2} E E E (instHSub.{u2} E (SubNegMonoid.toSub.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)))) x u))))
 Case conversion may be inaccurate. Consider using '#align seminorm.bdd_below_range_add Seminorm.bddBelow_range_addₓ'. -/
 /-- Auxiliary lemma to show that the infimum of seminorms is well-defined. -/
 theorem bddBelow_range_add : BddBelow (range fun u => p u + q (x - u)) :=
@@ -734,7 +734,7 @@ noncomputable instance : Inf (Seminorm 𝕜 E)
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (p : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (q : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (x : E), Eq.{1} Real (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (fun (_x : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Inf.inf.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Seminorm.hasInf.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) p q) x) (infᵢ.{0, succ u2} Real Real.hasInf E (fun (u : E) => HAdd.hAdd.{0, 0, 0} Real Real Real (instHAdd.{0} Real Real.hasAdd) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (fun (_x : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) p u) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (fun (_x : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) q (HSub.hSub.{u2, u2, u2} E E E (instHSub.{u2} E (SubNegMonoid.toHasSub.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)))) x u))))
 but is expected to have type
-  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : NormedField.{u2} 𝕜] [_inst_2 : AddCommGroup.{u1} E] [_inst_3 : Module.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)] (p : Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) (q : Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) (x : E), Eq.{1} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) x) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E 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(NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) E Real (AddCommGroup.toAddGroup.{u1} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E 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(SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))) (Seminorm.seminormClass.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))))))) (Inf.inf.{u1} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) (Seminorm.instInfSeminormToSeminormedRingToSeminormedCommRingToNormedCommRingToAddGroupToSMulToZeroToNegZeroClassToSubNegZeroMonoidToSubtractionMonoidToDivisionAddCommMonoidToSMulZeroClassToZeroToCommMonoidWithZeroToCommGroupWithZeroToSemifieldToFieldToSMulWithZeroToMonoidWithZeroToSemiringToDivisionSemiringToMulActionWithZeroToAddCommMonoid.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) p q) x) (infᵢ.{0, succ u1} Real Real.instInfSetReal E (fun (u : E) => HAdd.hAdd.{0, 0, 0} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) u) ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) (HSub.hSub.{u1, u1, u1} E E E (instHSub.{u1} E (SubNegMonoid.toSub.{u1} E (AddGroup.toSubNegMonoid.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_2)))) x u)) ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) u) (instHAdd.{0} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) u) Real.instAddReal) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 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(AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) E Real (AddCommGroup.toAddGroup.{u1} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E 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(NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))))))) p u) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 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(AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E 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(AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) E Real (AddCommGroup.toAddGroup.{u1} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))) (Seminorm.seminormClass.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))))))) q (HSub.hSub.{u1, u1, u1} E E E (instHSub.{u1} E (SubNegMonoid.toSub.{u1} E (AddGroup.toSubNegMonoid.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_2)))) x u))))
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : NormedField.{u2} 𝕜] [_inst_2 : AddCommGroup.{u1} E] [_inst_3 : Module.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)] (p : Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) (q : Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) (x : E), Eq.{1} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) x) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) E Real (AddCommGroup.toAddGroup.{u1} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))) (Seminorm.instSeminormClass.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))))))) (Inf.inf.{u1} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) (Seminorm.instInf.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) p q) x) (infᵢ.{0, succ u1} Real Real.instInfSetReal E (fun (u : E) => HAdd.hAdd.{0, 0, 0} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) u) ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) (HSub.hSub.{u1, u1, u1} E E E (instHSub.{u1} E (SubNegMonoid.toSub.{u1} E (AddGroup.toSubNegMonoid.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_2)))) x u)) ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) u) (instHAdd.{0} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) u) Real.instAddReal) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) E Real (AddCommGroup.toAddGroup.{u1} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))) (Seminorm.instSeminormClass.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))))))) p u) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) E Real (AddCommGroup.toAddGroup.{u1} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))) (Seminorm.instSeminormClass.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))))))) q (HSub.hSub.{u1, u1, u1} E E E (instHSub.{u1} E (SubNegMonoid.toSub.{u1} E (AddGroup.toSubNegMonoid.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_2)))) x u))))
 Case conversion may be inaccurate. Consider using '#align seminorm.inf_apply Seminorm.inf_applyₓ'. -/
 @[simp]
 theorem inf_apply (p q : Seminorm 𝕜 E) (x : E) : (p ⊓ q) x = ⨅ u : E, p u + q (x - u) :=
@@ -755,7 +755,7 @@ noncomputable instance : Lattice (Seminorm 𝕜 E) :=
 lean 3 declaration is
   forall {R : Type.{u1}} {𝕜 : Type.{u2}} {E : Type.{u3}} [_inst_1 : NormedField.{u2} 𝕜] [_inst_2 : AddCommGroup.{u3} E] [_inst_3 : Module.{u2, u3} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)] [_inst_4 : SMul.{u1, 0} R Real] [_inst_5 : SMul.{u1, 0} R NNReal] [_inst_6 : IsScalarTower.{u1, 0, 0} R NNReal Real _inst_5 (SMulZeroClass.toHasSmul.{0, 0} NNReal Real (AddZeroClass.toHasZero.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real Real.addCommMonoid))) (SMulWithZero.toSmulZeroClass.{0, 0} NNReal Real (MulZeroClass.toHasZero.{0} NNReal (MulZeroOneClass.toMulZeroClass.{0} NNReal (MonoidWithZero.toMulZeroOneClass.{0} NNReal (Semiring.toMonoidWithZero.{0} NNReal NNReal.semiring)))) (AddZeroClass.toHasZero.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real Real.addCommMonoid))) (MulActionWithZero.toSMulWithZero.{0, 0} NNReal Real (Semiring.toMonoidWithZero.{0} NNReal NNReal.semiring) (AddZeroClass.toHasZero.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real Real.addCommMonoid))) (Module.toMulActionWithZero.{0, 0} NNReal Real NNReal.semiring Real.addCommMonoid (NNReal.module.{0} Real Real.addCommMonoid Real.module))))) _inst_4] (r : R) (p : Seminorm.{u2, u3} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u3} E _inst_2) (SMulZeroClass.toHasSmul.{u2, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u2, u3} 𝕜 E (MulZeroClass.toHasZero.{u2} 𝕜 (MulZeroOneClass.toMulZeroClass.{u2} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u3} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)))) (Module.toMulActionWithZero.{u2, u3} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3))))) (q : Seminorm.{u2, u3} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u3} E _inst_2) (SMulZeroClass.toHasSmul.{u2, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u2, u3} 𝕜 E (MulZeroClass.toHasZero.{u2} 𝕜 (MulZeroOneClass.toMulZeroClass.{u2} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u3} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)))) (Module.toMulActionWithZero.{u2, u3} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3))))), Eq.{succ u3} (Seminorm.{u2, u3} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u3} E _inst_2) (SMulZeroClass.toHasSmul.{u2, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u2, u3} 𝕜 E (MulZeroClass.toHasZero.{u2} 𝕜 (MulZeroOneClass.toMulZeroClass.{u2} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u3} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)))) (Module.toMulActionWithZero.{u2, u3} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3))))) (SMul.smul.{u1, u3} R (Seminorm.{u2, u3} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u3} E _inst_2) (SMulZeroClass.toHasSmul.{u2, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u2, u3} 𝕜 E (MulZeroClass.toHasZero.{u2} 𝕜 (MulZeroOneClass.toMulZeroClass.{u2} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u3} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)))) (Module.toMulActionWithZero.{u2, u3} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3))))) (Seminorm.hasSmul.{u1, u2, u3} R 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u3} E _inst_2) (SMulZeroClass.toHasSmul.{u2, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u2, u3} 𝕜 E (MulZeroClass.toHasZero.{u2} 𝕜 (MulZeroOneClass.toMulZeroClass.{u2} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u3} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)))) (Module.toMulActionWithZero.{u2, u3} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3)))) _inst_4 _inst_5 _inst_6) r (Inf.inf.{u3} (Seminorm.{u2, u3} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u3} E _inst_2) (SMulZeroClass.toHasSmul.{u2, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u2, u3} 𝕜 E (MulZeroClass.toHasZero.{u2} 𝕜 (MulZeroOneClass.toMulZeroClass.{u2} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u3} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)))) (Module.toMulActionWithZero.{u2, u3} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3))))) (Seminorm.hasInf.{u2, u3} 𝕜 E _inst_1 _inst_2 _inst_3) p q)) (Inf.inf.{u3} (Seminorm.{u2, u3} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u3} E _inst_2) (SMulZeroClass.toHasSmul.{u2, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u2, u3} 𝕜 E (MulZeroClass.toHasZero.{u2} 𝕜 (MulZeroOneClass.toMulZeroClass.{u2} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u3} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)))) (Module.toMulActionWithZero.{u2, u3} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3))))) (Seminorm.hasInf.{u2, u3} 𝕜 E _inst_1 _inst_2 _inst_3) (SMul.smul.{u1, u3} R (Seminorm.{u2, u3} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u3} E _inst_2) (SMulZeroClass.toHasSmul.{u2, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u2, u3} 𝕜 E (MulZeroClass.toHasZero.{u2} 𝕜 (MulZeroOneClass.toMulZeroClass.{u2} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u3} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)))) (Module.toMulActionWithZero.{u2, u3} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3))))) (Seminorm.hasSmul.{u1, u2, u3} R 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u3} E _inst_2) (SMulZeroClass.toHasSmul.{u2, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u2, u3} 𝕜 E (MulZeroClass.toHasZero.{u2} 𝕜 (MulZeroOneClass.toMulZeroClass.{u2} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u3} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)))) (Module.toMulActionWithZero.{u2, u3} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3)))) _inst_4 _inst_5 _inst_6) r p) (SMul.smul.{u1, u3} R (Seminorm.{u2, u3} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u3} E _inst_2) (SMulZeroClass.toHasSmul.{u2, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u2, u3} 𝕜 E (MulZeroClass.toHasZero.{u2} 𝕜 (MulZeroOneClass.toMulZeroClass.{u2} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u3} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)))) (Module.toMulActionWithZero.{u2, u3} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3))))) (Seminorm.hasSmul.{u1, u2, u3} R 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u3} E _inst_2) (SMulZeroClass.toHasSmul.{u2, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u2, u3} 𝕜 E (MulZeroClass.toHasZero.{u2} 𝕜 (MulZeroOneClass.toMulZeroClass.{u2} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u3} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)))) (Module.toMulActionWithZero.{u2, u3} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3)))) _inst_4 _inst_5 _inst_6) r q))
 but is expected to have type
-  forall {R : Type.{u3}} {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : NormedField.{u2} 𝕜] [_inst_2 : AddCommGroup.{u1} E] [_inst_3 : Module.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)] [_inst_4 : SMul.{u3, 0} R Real] [_inst_5 : SMul.{u3, 0} R NNReal] [_inst_6 : IsScalarTower.{u3, 0, 0} R NNReal Real _inst_5 Seminorm.smul_nnreal_real _inst_4] (r : R) (p : Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) (q : Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))), Eq.{succ u1} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) (HSMul.hSMul.{u3, u1, u1} R (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) (instHSMul.{u3, u1} R (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) (Seminorm.smul.{u3, u2, u1} R 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))) _inst_4 _inst_5 _inst_6)) r (Inf.inf.{u1} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) (Seminorm.instInfSeminormToSeminormedRingToSeminormedCommRingToNormedCommRingToAddGroupToSMulToZeroToNegZeroClassToSubNegZeroMonoidToSubtractionMonoidToDivisionAddCommMonoidToSMulZeroClassToZeroToCommMonoidWithZeroToCommGroupWithZeroToSemifieldToFieldToSMulWithZeroToMonoidWithZeroToSemiringToDivisionSemiringToMulActionWithZeroToAddCommMonoid.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) p q)) (Inf.inf.{u1} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) (Seminorm.instInfSeminormToSeminormedRingToSeminormedCommRingToNormedCommRingToAddGroupToSMulToZeroToNegZeroClassToSubNegZeroMonoidToSubtractionMonoidToDivisionAddCommMonoidToSMulZeroClassToZeroToCommMonoidWithZeroToCommGroupWithZeroToSemifieldToFieldToSMulWithZeroToMonoidWithZeroToSemiringToDivisionSemiringToMulActionWithZeroToAddCommMonoid.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (HSMul.hSMul.{u3, u1, u1} R (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) (instHSMul.{u3, u1} R (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) (Seminorm.smul.{u3, u2, u1} R 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))) _inst_4 _inst_5 _inst_6)) r p) (HSMul.hSMul.{u3, u1, u1} R (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) (instHSMul.{u3, u1} R (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) (Seminorm.smul.{u3, u2, u1} R 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))) _inst_4 _inst_5 _inst_6)) r q))
+  forall {R : Type.{u3}} {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : NormedField.{u2} 𝕜] [_inst_2 : AddCommGroup.{u1} E] [_inst_3 : Module.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)] [_inst_4 : SMul.{u3, 0} R Real] [_inst_5 : SMul.{u3, 0} R NNReal] [_inst_6 : IsScalarTower.{u3, 0, 0} R NNReal Real _inst_5 Seminorm.smul_nnreal_real _inst_4] (r : R) (p : Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) (q : Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))), Eq.{succ u1} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) (HSMul.hSMul.{u3, u1, u1} R (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) (instHSMul.{u3, u1} R (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) (Seminorm.instSMul.{u3, u2, u1} R 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))) _inst_4 _inst_5 _inst_6)) r (Inf.inf.{u1} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) (Seminorm.instInf.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) p q)) (Inf.inf.{u1} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) (Seminorm.instInf.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (HSMul.hSMul.{u3, u1, u1} R (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) (instHSMul.{u3, u1} R (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) (Seminorm.instSMul.{u3, u2, u1} R 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))) _inst_4 _inst_5 _inst_6)) r p) (HSMul.hSMul.{u3, u1, u1} R (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) (instHSMul.{u3, u1} R (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) (Seminorm.instSMul.{u3, u2, u1} R 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))) _inst_4 _inst_5 _inst_6)) r q))
 Case conversion may be inaccurate. Consider using '#align seminorm.smul_inf Seminorm.smul_infₓ'. -/
 theorem smul_inf [SMul R ℝ] [SMul R ℝ≥0] [IsScalarTower R ℝ≥0 ℝ] (r : R) (p q : Seminorm 𝕜 E) :
     r • (p ⊓ q) = r • p ⊓ r • q := by
@@ -826,7 +826,7 @@ noncomputable instance : SupSet (Seminorm 𝕜 E)
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {s : Set.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))}, (BddAbove.{u2} (E -> Real) (Pi.preorder.{u2, 0} E (fun (ᾰ : E) => Real) (fun (i : E) => Real.preorder)) (Set.image.{u2, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (E -> Real) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (fun (ᾰ : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) s)) -> (Eq.{succ u2} (E -> Real) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 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(SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (SupSet.supₛ.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Seminorm.hasSup.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) s)) (supᵢ.{u2, succ u2} (E 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(MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) Type.{u2} (Set.hasCoeToSort.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) s) (fun (p : coeSort.{succ u2, succ (succ u2)} (Set.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) Type.{u2} (Set.hasCoeToSort.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) s) => coeFn.{succ u2, succ u2} (coeSort.{succ u2, succ (succ u2)} (Set.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) Type.{u2} (Set.hasCoeToSort.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) 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(AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) s) (fun (x : coeSort.{succ u2, succ (succ u2)} (Set.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) Type.{u2} (Set.hasCoeToSort.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) s) => E -> Real) (coeFnTrans.{succ u2, succ u2, succ u2} (coeSort.{succ u2, succ (succ u2)} (Set.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 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(NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) s) (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 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(NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (coeBaseAux.{succ u2, succ u2} (coeSort.{succ u2, succ (succ u2)} (Set.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) Type.{u2} (Set.hasCoeToSort.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) s) (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (coeSubtype.{succ u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (fun (x : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) => Membership.Mem.{u2, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Set.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) (Set.hasMem.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) x s)))) p)))
 but is expected to have type
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {s : Set.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))}, (BddAbove.{u2} (E -> Real) (Pi.preorder.{u2, 0} E (fun (ᾰ : E) => Real) (fun (i : E) => Real.instPreorderReal)) (Set.image.{u2, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (E -> Real) (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E (fun (ᾰ : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) ᾰ) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Seminorm.seminormClass.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))))))) s)) -> (Eq.{succ u2} (forall (ᾰ : E), (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) ᾰ) (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E (fun (_x : E) => (fun 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_inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Seminorm.seminormClass.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))))) (SupSet.supₛ.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Seminorm.instSupSetSeminormToSeminormedRingToSeminormedCommRingToNormedCommRingToAddGroupToSMulToZeroToNegZeroClassToSubNegZeroMonoidToSubtractionMonoidToDivisionAddCommMonoidToSMulZeroClassToZeroToCommMonoidWithZeroToCommGroupWithZeroToSemifieldToFieldToSMulWithZeroToMonoidWithZeroToSemiringToDivisionSemiringToMulActionWithZeroToAddCommMonoid.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) s)) (supᵢ.{u2, succ u2} (forall (ᾰ : E), (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) ᾰ) (Pi.supSet.{u2, 0} E (fun (ᾰ : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) ᾰ) (fun (i : E) => Real.instSupSetReal)) (Set.Elem.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) s) (fun (p : Set.Elem.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) s) => FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E (fun (x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Seminorm.seminormClass.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))))) (Subtype.val.{succ u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (fun (x : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) => Membership.mem.{u2, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Set.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) (Set.instMembershipSet.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) x s) p))))
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {s : Set.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))}, (BddAbove.{u2} (E -> Real) (Pi.preorder.{u2, 0} E (fun (ᾰ : E) => Real) (fun (i : E) => Real.instPreorderReal)) (Set.image.{u2, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (E -> Real) (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E (fun (ᾰ : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) ᾰ) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Seminorm.instSeminormClass.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))))))) s)) -> (Eq.{succ u2} (forall (ᾰ : E), (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) ᾰ) (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Seminorm.instSeminormClass.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))))) (SupSet.supₛ.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Seminorm.instSupSet.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) s)) (supᵢ.{u2, succ u2} (forall (ᾰ : E), (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) ᾰ) (Pi.supSet.{u2, 0} E (fun (ᾰ : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) ᾰ) (fun (i : E) => Real.instSupSetReal)) (Set.Elem.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) s) (fun (p : Set.Elem.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) s) => FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E (fun (x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Seminorm.instSeminormClass.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))))) (Subtype.val.{succ u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (fun (x : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) => Membership.mem.{u2, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Set.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) (Set.instMembershipSet.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) x s) p))))
 Case conversion may be inaccurate. Consider using '#align seminorm.coe_Sup_eq' Seminorm.coe_supₛ_eq'ₓ'. -/
 protected theorem coe_supₛ_eq' {s : Set <| Seminorm 𝕜 E}
     (hs : BddAbove (coeFn '' s : Set (E → ℝ))) : coeFn (supₛ s) = ⨆ p : s, p :=
@@ -837,7 +837,7 @@ protected theorem coe_supₛ_eq' {s : Set <| Seminorm 𝕜 E}
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {s : Set.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))}, Iff (BddAbove.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (PartialOrder.toPreorder.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Seminorm.partialOrder.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) s) (BddAbove.{u2} (E -> Real) (Pi.preorder.{u2, 0} E (fun (ᾰ : E) => Real) (fun (i : E) => Real.preorder)) (Set.image.{u2, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (E -> Real) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (fun (ᾰ : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) s))
 but is expected to have type
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {s : Set.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))}, Iff (BddAbove.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (PartialOrder.toPreorder.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Seminorm.instPartialOrderSeminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) s) (BddAbove.{u2} (E -> Real) (Pi.preorder.{u2, 0} E (fun (ᾰ : E) => Real) (fun (i : E) => Real.instPreorderReal)) (Set.image.{u2, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (E -> Real) (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E (fun (ᾰ : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) ᾰ) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Seminorm.seminormClass.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))))))) s))
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {s : Set.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))}, Iff (BddAbove.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (PartialOrder.toPreorder.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Seminorm.instPartialOrder.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) s) (BddAbove.{u2} (E -> Real) (Pi.preorder.{u2, 0} E (fun (ᾰ : E) => Real) (fun (i : E) => Real.instPreorderReal)) (Set.image.{u2, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (E -> Real) (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E (fun (ᾰ : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) ᾰ) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Seminorm.instSeminormClass.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))))))) s))
 Case conversion may be inaccurate. Consider using '#align seminorm.bdd_above_iff Seminorm.bddAbove_iffₓ'. -/
 protected theorem bddAbove_iff {s : Set <| Seminorm 𝕜 E} :
     BddAbove s ↔ BddAbove (coeFn '' s : Set (E → ℝ)) :=
@@ -853,7 +853,7 @@ protected theorem bddAbove_iff {s : Set <| Seminorm 𝕜 E} :
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {s : Set.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))}, (BddAbove.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (PartialOrder.toPreorder.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Seminorm.partialOrder.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E 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_inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (SupSet.supₛ.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Seminorm.hasSup.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) s)) (supᵢ.{u2, succ u2} (E -> Real) (Pi.supSet.{u2, 0} E (fun (ᾰ : E) => Real) (fun (i : E) => Real.hasSup)) (coeSort.{succ u2, succ (succ u2)} (Set.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 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(NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) s) (fun (p : coeSort.{succ u2, succ (succ u2)} (Set.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) Type.{u2} (Set.hasCoeToSort.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) s) => coeFn.{succ u2, succ u2} (coeSort.{succ u2, succ (succ u2)} (Set.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} 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(NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) Type.{u2} (Set.hasCoeToSort.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) s) (fun (x : coeSort.{succ u2, succ (succ u2)} (Set.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) Type.{u2} (Set.hasCoeToSort.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) s) => E -> Real) (coeFnTrans.{succ u2, succ u2, succ u2} (coeSort.{succ u2, succ (succ u2)} (Set.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) Type.{u2} (Set.hasCoeToSort.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) s) (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (fun (_x : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (coeBaseAux.{succ u2, succ u2} (coeSort.{succ u2, succ (succ u2)} (Set.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) Type.{u2} (Set.hasCoeToSort.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) s) (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (coeSubtype.{succ u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (fun (x : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) => Membership.Mem.{u2, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Set.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) (Set.hasMem.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) x s)))) p)))
 but is expected to have type
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {s : Set.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))}, (BddAbove.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (PartialOrder.toPreorder.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Seminorm.instPartialOrderSeminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) s) -> (Eq.{succ u2} (forall (ᾰ : E), (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) ᾰ) (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Seminorm.seminormClass.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))))) (SupSet.supₛ.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Seminorm.instSupSetSeminormToSeminormedRingToSeminormedCommRingToNormedCommRingToAddGroupToSMulToZeroToNegZeroClassToSubNegZeroMonoidToSubtractionMonoidToDivisionAddCommMonoidToSMulZeroClassToZeroToCommMonoidWithZeroToCommGroupWithZeroToSemifieldToFieldToSMulWithZeroToMonoidWithZeroToSemiringToDivisionSemiringToMulActionWithZeroToAddCommMonoid.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) s)) (supᵢ.{u2, succ u2} (forall (ᾰ : E), (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) ᾰ) (Pi.supSet.{u2, 0} E (fun (ᾰ : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) ᾰ) (fun (i : E) => Real.instSupSetReal)) (Set.Elem.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) s) (fun (p : Set.Elem.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) s) => FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E (fun (x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Seminorm.seminormClass.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))))) (Subtype.val.{succ u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (fun (x : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) => Membership.mem.{u2, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Set.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) (Set.instMembershipSet.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) x s) p))))
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {s : Set.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))}, (BddAbove.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (PartialOrder.toPreorder.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Seminorm.instPartialOrder.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) s) -> (Eq.{succ u2} (forall (ᾰ : E), (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) ᾰ) (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Seminorm.instSeminormClass.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))))) (SupSet.supₛ.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Seminorm.instSupSet.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) s)) (supᵢ.{u2, succ u2} (forall (ᾰ : E), (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) ᾰ) (Pi.supSet.{u2, 0} E (fun (ᾰ : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) ᾰ) (fun (i : E) => Real.instSupSetReal)) (Set.Elem.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) s) (fun (p : Set.Elem.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) s) => FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E (fun (x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Seminorm.instSeminormClass.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))))) (Subtype.val.{succ u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (fun (x : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) => Membership.mem.{u2, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Set.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) (Set.instMembershipSet.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) x s) p))))
 Case conversion may be inaccurate. Consider using '#align seminorm.coe_Sup_eq Seminorm.coe_supₛ_eqₓ'. -/
 protected theorem coe_supₛ_eq {s : Set <| Seminorm 𝕜 E} (hs : BddAbove s) :
     coeFn (supₛ s) = ⨆ p : s, p :=
@@ -864,7 +864,7 @@ protected theorem coe_supₛ_eq {s : Set <| Seminorm 𝕜 E} (hs : BddAbove s) :
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {ι : Type.{u3}} {p : ι -> (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))}, (BddAbove.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (PartialOrder.toPreorder.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Seminorm.partialOrder.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) (Set.range.{u2, succ u3} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) ι p)) -> (Eq.{succ u2} (E -> Real) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (fun (_x : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (supᵢ.{u2, succ u3} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Seminorm.hasSup.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) ι (fun (i : ι) => p i))) (supᵢ.{u2, succ u3} (E -> Real) (Pi.supSet.{u2, 0} E (fun (ᾰ : E) => Real) (fun (i : E) => Real.hasSup)) ι (fun (i : ι) => coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (fun (_x : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (p i))))
 but is expected to have type
-  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : NormedField.{u2} 𝕜] [_inst_2 : AddCommGroup.{u1} E] [_inst_3 : Module.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)] {ι : Type.{u3}} {p : ι -> (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))))}, (BddAbove.{u1} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) (PartialOrder.toPreorder.{u1} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) (Seminorm.instPartialOrderSeminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))))) (Set.range.{u1, succ u3} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) ι p)) -> (Eq.{succ u1} (forall (ᾰ : E), (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) ᾰ) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) E Real (AddCommGroup.toAddGroup.{u1} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))) (Seminorm.seminormClass.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))))))) (supᵢ.{u1, succ u3} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) (Seminorm.instSupSetSeminormToSeminormedRingToSeminormedCommRingToNormedCommRingToAddGroupToSMulToZeroToNegZeroClassToSubNegZeroMonoidToSubtractionMonoidToDivisionAddCommMonoidToSMulZeroClassToZeroToCommMonoidWithZeroToCommGroupWithZeroToSemifieldToFieldToSMulWithZeroToMonoidWithZeroToSemiringToDivisionSemiringToMulActionWithZeroToAddCommMonoid.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) ι (fun (i : ι) => p i))) (supᵢ.{u1, succ u3} (forall (ᾰ : E), (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) ᾰ) (Pi.supSet.{u1, 0} E (fun (ᾰ : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) ᾰ) (fun (i : E) => Real.instSupSetReal)) ι (fun (i : ι) => FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) E Real (AddCommGroup.toAddGroup.{u1} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))) (Seminorm.seminormClass.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))))))) (p i))))
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : NormedField.{u2} 𝕜] [_inst_2 : AddCommGroup.{u1} E] [_inst_3 : Module.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)] {ι : Type.{u3}} {p : ι -> (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))))}, (BddAbove.{u1} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) (PartialOrder.toPreorder.{u1} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) (Seminorm.instPartialOrder.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))))) (Set.range.{u1, succ u3} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) ι p)) -> (Eq.{succ u1} (forall (ᾰ : E), (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) ᾰ) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) E Real (AddCommGroup.toAddGroup.{u1} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))) (Seminorm.instSeminormClass.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))))))) (supᵢ.{u1, succ u3} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) (Seminorm.instSupSet.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) ι (fun (i : ι) => p i))) (supᵢ.{u1, succ u3} (forall (ᾰ : E), (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) ᾰ) (Pi.supSet.{u1, 0} E (fun (ᾰ : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) ᾰ) (fun (i : E) => Real.instSupSetReal)) ι (fun (i : ι) => FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) E Real (AddCommGroup.toAddGroup.{u1} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))) (Seminorm.instSeminormClass.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))))))) (p i))))
 Case conversion may be inaccurate. Consider using '#align seminorm.coe_supr_eq Seminorm.coe_supᵢ_eqₓ'. -/
 protected theorem coe_supᵢ_eq {ι : Type _} {p : ι → Seminorm 𝕜 E} (hp : BddAbove (range p)) :
     coeFn (⨆ i, p i) = ⨆ i, p i := by
@@ -932,7 +932,7 @@ variable {x y : E} {r : ℝ}
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : SMul.{u1, u2} 𝕜 E] (p : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) {x : E} {y : E} {r : Real}, Iff (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) y (Seminorm.ball.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 p x r)) (LT.lt.{0} Real Real.hasLt (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) (fun (_x : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) p (HSub.hSub.{u2, u2, u2} E E E (instHSub.{u2} E (SubNegMonoid.toHasSub.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)))) y x)) r)
 but is expected to have type
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : SMul.{u1, u2} 𝕜 E] (p : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) {x : E} {y : E} {r : Real}, Iff (Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) y (Seminorm.ball.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 p x r)) (LT.lt.{0} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) (HSub.hSub.{u2, u2, u2} E E E (instHSub.{u2} E (SubNegMonoid.toSub.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)))) y x)) Real.instLTReal (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) E Real (AddCommGroup.toAddGroup.{u2} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3 (Seminorm.seminormClass.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3)))) p (HSub.hSub.{u2, u2, u2} E E E (instHSub.{u2} E (SubNegMonoid.toSub.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)))) y x)) r)
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : SMul.{u1, u2} 𝕜 E] (p : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) {x : E} {y : E} {r : Real}, Iff (Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) y (Seminorm.ball.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 p x r)) (LT.lt.{0} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) (HSub.hSub.{u2, u2, u2} E E E (instHSub.{u2} E (SubNegMonoid.toSub.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)))) y x)) Real.instLTReal (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) E Real (AddCommGroup.toAddGroup.{u2} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3 (Seminorm.instSeminormClass.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3)))) p (HSub.hSub.{u2, u2, u2} E E E (instHSub.{u2} E (SubNegMonoid.toSub.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)))) y x)) r)
 Case conversion may be inaccurate. Consider using '#align seminorm.mem_ball Seminorm.mem_ballₓ'. -/
 @[simp]
 theorem mem_ball : y ∈ ball p x r ↔ p (y - x) < r :=
@@ -943,7 +943,7 @@ theorem mem_ball : y ∈ ball p x r ↔ p (y - x) < r :=
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : SMul.{u1, u2} 𝕜 E] (p : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) {x : E} {y : E} {r : Real}, Iff (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) y (Seminorm.closedBall.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 p x r)) (LE.le.{0} Real Real.hasLe (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) (fun (_x : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) p (HSub.hSub.{u2, u2, u2} E E E (instHSub.{u2} E (SubNegMonoid.toHasSub.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)))) y x)) r)
 but is expected to have type
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : SMul.{u1, u2} 𝕜 E] (p : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) {x : E} {y : E} {r : Real}, Iff (Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) y (Seminorm.closedBall.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 p x r)) (LE.le.{0} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) (HSub.hSub.{u2, u2, u2} E E E (instHSub.{u2} E (SubNegMonoid.toSub.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)))) y x)) Real.instLEReal (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) E Real (AddCommGroup.toAddGroup.{u2} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3 (Seminorm.seminormClass.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3)))) p (HSub.hSub.{u2, u2, u2} E E E (instHSub.{u2} E (SubNegMonoid.toSub.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)))) y x)) r)
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : SMul.{u1, u2} 𝕜 E] (p : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) {x : E} {y : E} {r : Real}, Iff (Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) y (Seminorm.closedBall.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 p x r)) (LE.le.{0} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) (HSub.hSub.{u2, u2, u2} E E E (instHSub.{u2} E (SubNegMonoid.toSub.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)))) y x)) Real.instLEReal (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) E Real (AddCommGroup.toAddGroup.{u2} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3 (Seminorm.instSeminormClass.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3)))) p (HSub.hSub.{u2, u2, u2} E E E (instHSub.{u2} E (SubNegMonoid.toSub.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)))) y x)) r)
 Case conversion may be inaccurate. Consider using '#align seminorm.mem_closed_ball Seminorm.mem_closedBallₓ'. -/
 @[simp]
 theorem mem_closedBall : y ∈ closedBall p x r ↔ p (y - x) ≤ r :=
@@ -972,7 +972,7 @@ theorem mem_closedBall_self (hr : 0 ≤ r) : x ∈ closedBall p x r := by simp [
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : SMul.{u1, u2} 𝕜 E] (p : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) {y : E} {r : Real}, Iff (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) y (Seminorm.ball.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 p (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)))))))) r)) (LT.lt.{0} Real Real.hasLt (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) (fun (_x : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) p y) r)
 but is expected to have type
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : SMul.{u1, u2} 𝕜 E] (p : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) {y : E} {r : Real}, Iff (Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) y (Seminorm.ball.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 p (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))))) r)) (LT.lt.{0} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) y) Real.instLTReal (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) E Real (AddCommGroup.toAddGroup.{u2} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3 (Seminorm.seminormClass.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3)))) p y) r)
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : SMul.{u1, u2} 𝕜 E] (p : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) {y : E} {r : Real}, Iff (Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) y (Seminorm.ball.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 p (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))))) r)) (LT.lt.{0} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) y) Real.instLTReal (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) E Real (AddCommGroup.toAddGroup.{u2} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3 (Seminorm.instSeminormClass.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3)))) p y) r)
 Case conversion may be inaccurate. Consider using '#align seminorm.mem_ball_zero Seminorm.mem_ball_zeroₓ'. -/
 theorem mem_ball_zero : y ∈ ball p 0 r ↔ p y < r := by rw [mem_ball, sub_zero]
 #align seminorm.mem_ball_zero Seminorm.mem_ball_zero
@@ -981,7 +981,7 @@ theorem mem_ball_zero : y ∈ ball p 0 r ↔ p y < r := by rw [mem_ball, sub_zer
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : SMul.{u1, u2} 𝕜 E] (p : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) {y : E} {r : Real}, Iff (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) y (Seminorm.closedBall.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 p (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)))))))) r)) (LE.le.{0} Real Real.hasLe (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) (fun (_x : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) p y) r)
 but is expected to have type
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : SMul.{u1, u2} 𝕜 E] (p : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) {y : E} {r : Real}, Iff (Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) y (Seminorm.closedBall.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 p (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))))) r)) (LE.le.{0} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) y) Real.instLEReal (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) E Real (AddCommGroup.toAddGroup.{u2} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3 (Seminorm.seminormClass.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3)))) p y) r)
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : SMul.{u1, u2} 𝕜 E] (p : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) {y : E} {r : Real}, Iff (Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) y (Seminorm.closedBall.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 p (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))))) r)) (LE.le.{0} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) y) Real.instLEReal (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) E Real (AddCommGroup.toAddGroup.{u2} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3 (Seminorm.instSeminormClass.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3)))) p y) r)
 Case conversion may be inaccurate. Consider using '#align seminorm.mem_closed_ball_zero Seminorm.mem_closedBall_zeroₓ'. -/
 theorem mem_closedBall_zero : y ∈ closedBall p 0 r ↔ p y ≤ r := by rw [mem_closed_ball, sub_zero]
 #align seminorm.mem_closed_ball_zero Seminorm.mem_closedBall_zero
@@ -990,7 +990,7 @@ theorem mem_closedBall_zero : y ∈ closedBall p 0 r ↔ p y ≤ r := by rw [mem
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : SMul.{u1, u2} 𝕜 E] (p : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) {r : Real}, Eq.{succ u2} (Set.{u2} E) (Seminorm.ball.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 p (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)))))))) r) (setOf.{u2} E (fun (y : E) => LT.lt.{0} Real Real.hasLt (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) (fun (_x : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) p y) r))
 but is expected to have type
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : SMul.{u1, u2} 𝕜 E] (p : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) {r : Real}, Eq.{succ u2} (Set.{u2} E) (Seminorm.ball.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 p (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))))) r) (setOf.{u2} E (fun (y : E) => LT.lt.{0} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) y) Real.instLTReal (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) E Real (AddCommGroup.toAddGroup.{u2} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3 (Seminorm.seminormClass.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3)))) p y) r))
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : SMul.{u1, u2} 𝕜 E] (p : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) {r : Real}, Eq.{succ u2} (Set.{u2} E) (Seminorm.ball.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 p (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))))) r) (setOf.{u2} E (fun (y : E) => LT.lt.{0} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) y) Real.instLTReal (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) E Real (AddCommGroup.toAddGroup.{u2} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3 (Seminorm.instSeminormClass.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3)))) p y) r))
 Case conversion may be inaccurate. Consider using '#align seminorm.ball_zero_eq Seminorm.ball_zero_eqₓ'. -/
 theorem ball_zero_eq : ball p 0 r = { y : E | p y < r } :=
   Set.ext fun x => p.mem_ball_zero
@@ -1000,7 +1000,7 @@ theorem ball_zero_eq : ball p 0 r = { y : E | p y < r } :=
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : SMul.{u1, u2} 𝕜 E] (p : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) {r : Real}, Eq.{succ u2} (Set.{u2} E) (Seminorm.closedBall.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 p (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)))))))) r) (setOf.{u2} E (fun (y : E) => LE.le.{0} Real Real.hasLe (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) (fun (_x : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) p y) r))
 but is expected to have type
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : SMul.{u1, u2} 𝕜 E] (p : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) {r : Real}, Eq.{succ u2} (Set.{u2} E) (Seminorm.closedBall.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 p (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))))) r) (setOf.{u2} E (fun (y : E) => LE.le.{0} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) y) Real.instLEReal (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) E Real (AddCommGroup.toAddGroup.{u2} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3 (Seminorm.seminormClass.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3)))) p y) r))
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : SMul.{u1, u2} 𝕜 E] (p : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) {r : Real}, Eq.{succ u2} (Set.{u2} E) (Seminorm.closedBall.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 p (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))))) r) (setOf.{u2} E (fun (y : E) => LE.le.{0} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) y) Real.instLEReal (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) E Real (AddCommGroup.toAddGroup.{u2} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3 (Seminorm.instSeminormClass.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3)))) p y) r))
 Case conversion may be inaccurate. Consider using '#align seminorm.closed_ball_zero_eq Seminorm.closedBall_zero_eqₓ'. -/
 theorem closedBall_zero_eq : closedBall p 0 r = { y : E | p y ≤ r } :=
   Set.ext fun x => p.mem_closedBall_zero
@@ -1025,7 +1025,7 @@ theorem closedBall_eq_binterᵢ_ball (x r) : closedBall p x r = ⋂ ρ > r, ball
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : SMul.{u1, u2} 𝕜 E] {r : Real} (x : E), (LT.lt.{0} Real Real.hasLt (OfNat.ofNat.{0} Real 0 (OfNat.mk.{0} Real 0 (Zero.zero.{0} Real Real.hasZero))) r) -> (Eq.{succ u2} (Set.{u2} E) (Seminorm.ball.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 (OfNat.ofNat.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) 0 (OfNat.mk.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) 0 (Zero.zero.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) (Seminorm.hasZero.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3)))) x r) (Set.univ.{u2} E))
 but is expected to have type
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : SMul.{u1, u2} 𝕜 E] {r : Real} (x : E), (LT.lt.{0} Real Real.instLTReal (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) r) -> (Eq.{succ u2} (Set.{u2} E) (Seminorm.ball.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 (OfNat.ofNat.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) 0 (Zero.toOfNat0.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) (Seminorm.instZeroSeminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3))) x r) (Set.univ.{u2} E))
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : SMul.{u1, u2} 𝕜 E] {r : Real} (x : E), (LT.lt.{0} Real Real.instLTReal (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) r) -> (Eq.{succ u2} (Set.{u2} E) (Seminorm.ball.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 (OfNat.ofNat.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) 0 (Zero.toOfNat0.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) (Seminorm.instZero.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3))) x r) (Set.univ.{u2} E))
 Case conversion may be inaccurate. Consider using '#align seminorm.ball_zero' Seminorm.ball_zero'ₓ'. -/
 @[simp]
 theorem ball_zero' (x : E) (hr : 0 < r) : ball (0 : Seminorm 𝕜 E) x r = Set.univ :=
@@ -1038,7 +1038,7 @@ theorem ball_zero' (x : E) (hr : 0 < r) : ball (0 : Seminorm 𝕜 E) x r = Set.u
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : SMul.{u1, u2} 𝕜 E] {r : Real} (x : E), (LT.lt.{0} Real Real.hasLt (OfNat.ofNat.{0} Real 0 (OfNat.mk.{0} Real 0 (Zero.zero.{0} Real Real.hasZero))) r) -> (Eq.{succ u2} (Set.{u2} E) (Seminorm.closedBall.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 (OfNat.ofNat.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) 0 (OfNat.mk.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) 0 (Zero.zero.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) (Seminorm.hasZero.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3)))) x r) (Set.univ.{u2} E))
 but is expected to have type
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : SMul.{u1, u2} 𝕜 E] {r : Real} (x : E), (LT.lt.{0} Real Real.instLTReal (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) r) -> (Eq.{succ u2} (Set.{u2} E) (Seminorm.closedBall.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 (OfNat.ofNat.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) 0 (Zero.toOfNat0.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) (Seminorm.instZeroSeminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3))) x r) (Set.univ.{u2} E))
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : SMul.{u1, u2} 𝕜 E] {r : Real} (x : E), (LT.lt.{0} Real Real.instLTReal (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) r) -> (Eq.{succ u2} (Set.{u2} E) (Seminorm.closedBall.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 (OfNat.ofNat.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) 0 (Zero.toOfNat0.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) (Seminorm.instZero.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3))) x r) (Set.univ.{u2} E))
 Case conversion may be inaccurate. Consider using '#align seminorm.closed_ball_zero' Seminorm.closedBall_zero'ₓ'. -/
 @[simp]
 theorem closedBall_zero' (x : E) (hr : 0 < r) : closedBall (0 : Seminorm 𝕜 E) x r = Set.univ :=
@@ -1049,7 +1049,7 @@ theorem closedBall_zero' (x : E) (hr : 0 < r) : closedBall (0 : Seminorm 𝕜 E)
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : SMul.{u1, u2} 𝕜 E] (p : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) {c : NNReal}, (LT.lt.{0} NNReal (Preorder.toLT.{0} NNReal (PartialOrder.toPreorder.{0} NNReal (OrderedCancelAddCommMonoid.toPartialOrder.{0} NNReal (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} NNReal NNReal.strictOrderedSemiring)))) (OfNat.ofNat.{0} NNReal 0 (OfNat.mk.{0} NNReal 0 (Zero.zero.{0} NNReal (MulZeroClass.toHasZero.{0} NNReal (NonUnitalNonAssocSemiring.toMulZeroClass.{0} NNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} NNReal (Semiring.toNonAssocSemiring.{0} NNReal NNReal.semiring))))))) c) -> (forall (r : Real) (x : E), Eq.{succ u2} (Set.{u2} E) (Seminorm.ball.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 (SMul.smul.{0, u2} NNReal (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) (Seminorm.hasSmul.{0, u1, u2} NNReal 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3 (MulAction.toHasSmul.{0, 0} NNReal Real (MonoidWithZero.toMonoid.{0} NNReal (Semiring.toMonoidWithZero.{0} NNReal NNReal.semiring)) (NNReal.mulAction.{0} Real (Monoid.toMulAction.{0} Real Real.monoid))) (Mul.toSMul.{0} NNReal (MulOneClass.toHasMul.{0} NNReal (Monoid.toMulOneClass.{0} NNReal (MonoidWithZero.toMonoid.{0} NNReal (Semiring.toMonoidWithZero.{0} NNReal NNReal.semiring))))) (IsScalarTower.left.{0, 0} NNReal Real (MonoidWithZero.toMonoid.{0} NNReal (Semiring.toMonoidWithZero.{0} NNReal NNReal.semiring)) (NNReal.mulAction.{0} Real (Monoid.toMulAction.{0} Real Real.monoid)))) c p) x r) (Seminorm.ball.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 p x (HDiv.hDiv.{0, 0, 0} Real Real Real (instHDiv.{0} Real (DivInvMonoid.toHasDiv.{0} Real (DivisionRing.toDivInvMonoid.{0} Real Real.divisionRing))) r ((fun (a : Type) (b : Type) [self : HasLiftT.{1, 1} a b] => self.0) NNReal Real (HasLiftT.mk.{1, 1} NNReal Real (CoeTCₓ.coe.{1, 1} NNReal Real (coeBase.{1, 1} NNReal Real NNReal.Real.hasCoe))) c))))
 but is expected to have type
-  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_2 : AddCommGroup.{u1} E] [_inst_3 : SMul.{u2, u1} 𝕜 E] (p : Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_2) _inst_3) {c : NNReal}, (LT.lt.{0} NNReal (Preorder.toLT.{0} NNReal (PartialOrder.toPreorder.{0} NNReal (StrictOrderedSemiring.toPartialOrder.{0} NNReal instNNRealStrictOrderedSemiring))) (OfNat.ofNat.{0} NNReal 0 (Zero.toOfNat0.{0} NNReal instNNRealZero)) c) -> (forall (r : Real) (x : E), Eq.{succ u1} (Set.{u1} E) (Seminorm.ball.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3 (HSMul.hSMul.{0, u1, u1} NNReal (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_2) _inst_3) (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_2) _inst_3) (instHSMul.{0, u1} NNReal (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_2) _inst_3) (Seminorm.smul.{0, u2, u1} NNReal 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_2) _inst_3 Seminorm.smul_nnreal_real (Algebra.toSMul.{0, 0} NNReal NNReal instNNRealCommSemiring instNNRealSemiring (Algebra.id.{0} NNReal instNNRealCommSemiring)) (IsScalarTower.left.{0, 0} NNReal Real (MonoidWithZero.toMonoid.{0} NNReal (Semiring.toMonoidWithZero.{0} NNReal instNNRealSemiring)) (NNReal.instMulActionNNRealToMonoidToMonoidWithZeroInstNNRealSemiring.{0} Real (MulActionWithZero.toMulAction.{0, 0} Real Real Real.instMonoidWithZeroReal Real.instZeroReal (MonoidWithZero.toMulActionWithZero.{0} Real Real.instMonoidWithZeroReal)))))) c p) x r) (Seminorm.ball.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3 p x (HDiv.hDiv.{0, 0, 0} Real Real Real (instHDiv.{0} Real (LinearOrderedField.toDiv.{0} Real Real.instLinearOrderedFieldReal)) r (NNReal.toReal c))))
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_2 : AddCommGroup.{u1} E] [_inst_3 : SMul.{u2, u1} 𝕜 E] (p : Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_2) _inst_3) {c : NNReal}, (LT.lt.{0} NNReal (Preorder.toLT.{0} NNReal (PartialOrder.toPreorder.{0} NNReal (StrictOrderedSemiring.toPartialOrder.{0} NNReal instNNRealStrictOrderedSemiring))) (OfNat.ofNat.{0} NNReal 0 (Zero.toOfNat0.{0} NNReal instNNRealZero)) c) -> (forall (r : Real) (x : E), Eq.{succ u1} (Set.{u1} E) (Seminorm.ball.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3 (HSMul.hSMul.{0, u1, u1} NNReal (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_2) _inst_3) (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_2) _inst_3) (instHSMul.{0, u1} NNReal (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_2) _inst_3) (Seminorm.instSMul.{0, u2, u1} NNReal 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_2) _inst_3 Seminorm.smul_nnreal_real (Algebra.toSMul.{0, 0} NNReal NNReal instNNRealCommSemiring instNNRealSemiring (Algebra.id.{0} NNReal instNNRealCommSemiring)) (IsScalarTower.left.{0, 0} NNReal Real (MonoidWithZero.toMonoid.{0} NNReal (Semiring.toMonoidWithZero.{0} NNReal instNNRealSemiring)) (NNReal.instMulActionNNRealToMonoidToMonoidWithZeroInstNNRealSemiring.{0} Real (MulActionWithZero.toMulAction.{0, 0} Real Real Real.instMonoidWithZeroReal Real.instZeroReal (MonoidWithZero.toMulActionWithZero.{0} Real Real.instMonoidWithZeroReal)))))) c p) x r) (Seminorm.ball.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3 p x (HDiv.hDiv.{0, 0, 0} Real Real Real (instHDiv.{0} Real (LinearOrderedField.toDiv.{0} Real Real.instLinearOrderedFieldReal)) r (NNReal.toReal c))))
 Case conversion may be inaccurate. Consider using '#align seminorm.ball_smul Seminorm.ball_smulₓ'. -/
 theorem ball_smul (p : Seminorm 𝕜 E) {c : NNReal} (hc : 0 < c) (r : ℝ) (x : E) :
     (c • p).ball x r = p.ball x (r / c) := by
@@ -1062,7 +1062,7 @@ theorem ball_smul (p : Seminorm 𝕜 E) {c : NNReal} (hc : 0 < c) (r : ℝ) (x :
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : SMul.{u1, u2} 𝕜 E] (p : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) {c : NNReal}, (LT.lt.{0} NNReal (Preorder.toLT.{0} NNReal (PartialOrder.toPreorder.{0} NNReal (OrderedCancelAddCommMonoid.toPartialOrder.{0} NNReal (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} NNReal NNReal.strictOrderedSemiring)))) (OfNat.ofNat.{0} NNReal 0 (OfNat.mk.{0} NNReal 0 (Zero.zero.{0} NNReal (MulZeroClass.toHasZero.{0} NNReal (NonUnitalNonAssocSemiring.toMulZeroClass.{0} NNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} NNReal (Semiring.toNonAssocSemiring.{0} NNReal NNReal.semiring))))))) c) -> (forall (r : Real) (x : E), Eq.{succ u2} (Set.{u2} E) (Seminorm.closedBall.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 (SMul.smul.{0, u2} NNReal (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) (Seminorm.hasSmul.{0, u1, u2} NNReal 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3 (MulAction.toHasSmul.{0, 0} NNReal Real (MonoidWithZero.toMonoid.{0} NNReal (Semiring.toMonoidWithZero.{0} NNReal NNReal.semiring)) (NNReal.mulAction.{0} Real (Monoid.toMulAction.{0} Real Real.monoid))) (Mul.toSMul.{0} NNReal (MulOneClass.toHasMul.{0} NNReal (Monoid.toMulOneClass.{0} NNReal (MonoidWithZero.toMonoid.{0} NNReal (Semiring.toMonoidWithZero.{0} NNReal NNReal.semiring))))) (IsScalarTower.left.{0, 0} NNReal Real (MonoidWithZero.toMonoid.{0} NNReal (Semiring.toMonoidWithZero.{0} NNReal NNReal.semiring)) (NNReal.mulAction.{0} Real (Monoid.toMulAction.{0} Real Real.monoid)))) c p) x r) (Seminorm.closedBall.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 p x (HDiv.hDiv.{0, 0, 0} Real Real Real (instHDiv.{0} Real (DivInvMonoid.toHasDiv.{0} Real (DivisionRing.toDivInvMonoid.{0} Real Real.divisionRing))) r ((fun (a : Type) (b : Type) [self : HasLiftT.{1, 1} a b] => self.0) NNReal Real (HasLiftT.mk.{1, 1} NNReal Real (CoeTCₓ.coe.{1, 1} NNReal Real (coeBase.{1, 1} NNReal Real NNReal.Real.hasCoe))) c))))
 but is expected to have type
-  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_2 : AddCommGroup.{u1} E] [_inst_3 : SMul.{u2, u1} 𝕜 E] (p : Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_2) _inst_3) {c : NNReal}, (LT.lt.{0} NNReal (Preorder.toLT.{0} NNReal (PartialOrder.toPreorder.{0} NNReal (StrictOrderedSemiring.toPartialOrder.{0} NNReal instNNRealStrictOrderedSemiring))) (OfNat.ofNat.{0} NNReal 0 (Zero.toOfNat0.{0} NNReal instNNRealZero)) c) -> (forall (r : Real) (x : E), Eq.{succ u1} (Set.{u1} E) (Seminorm.closedBall.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3 (HSMul.hSMul.{0, u1, u1} NNReal (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_2) _inst_3) (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_2) _inst_3) (instHSMul.{0, u1} NNReal (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_2) _inst_3) (Seminorm.smul.{0, u2, u1} NNReal 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_2) _inst_3 Seminorm.smul_nnreal_real (Algebra.toSMul.{0, 0} NNReal NNReal instNNRealCommSemiring instNNRealSemiring (Algebra.id.{0} NNReal instNNRealCommSemiring)) (IsScalarTower.left.{0, 0} NNReal Real (MonoidWithZero.toMonoid.{0} NNReal (Semiring.toMonoidWithZero.{0} NNReal instNNRealSemiring)) (NNReal.instMulActionNNRealToMonoidToMonoidWithZeroInstNNRealSemiring.{0} Real (MulActionWithZero.toMulAction.{0, 0} Real Real Real.instMonoidWithZeroReal Real.instZeroReal (MonoidWithZero.toMulActionWithZero.{0} Real Real.instMonoidWithZeroReal)))))) c p) x r) (Seminorm.closedBall.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3 p x (HDiv.hDiv.{0, 0, 0} Real Real Real (instHDiv.{0} Real (LinearOrderedField.toDiv.{0} Real Real.instLinearOrderedFieldReal)) r (NNReal.toReal c))))
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_2 : AddCommGroup.{u1} E] [_inst_3 : SMul.{u2, u1} 𝕜 E] (p : Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_2) _inst_3) {c : NNReal}, (LT.lt.{0} NNReal (Preorder.toLT.{0} NNReal (PartialOrder.toPreorder.{0} NNReal (StrictOrderedSemiring.toPartialOrder.{0} NNReal instNNRealStrictOrderedSemiring))) (OfNat.ofNat.{0} NNReal 0 (Zero.toOfNat0.{0} NNReal instNNRealZero)) c) -> (forall (r : Real) (x : E), Eq.{succ u1} (Set.{u1} E) (Seminorm.closedBall.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3 (HSMul.hSMul.{0, u1, u1} NNReal (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_2) _inst_3) (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_2) _inst_3) (instHSMul.{0, u1} NNReal (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_2) _inst_3) (Seminorm.instSMul.{0, u2, u1} NNReal 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_2) _inst_3 Seminorm.smul_nnreal_real (Algebra.toSMul.{0, 0} NNReal NNReal instNNRealCommSemiring instNNRealSemiring (Algebra.id.{0} NNReal instNNRealCommSemiring)) (IsScalarTower.left.{0, 0} NNReal Real (MonoidWithZero.toMonoid.{0} NNReal (Semiring.toMonoidWithZero.{0} NNReal instNNRealSemiring)) (NNReal.instMulActionNNRealToMonoidToMonoidWithZeroInstNNRealSemiring.{0} Real (MulActionWithZero.toMulAction.{0, 0} Real Real Real.instMonoidWithZeroReal Real.instZeroReal (MonoidWithZero.toMulActionWithZero.{0} Real Real.instMonoidWithZeroReal)))))) c p) x r) (Seminorm.closedBall.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3 p x (HDiv.hDiv.{0, 0, 0} Real Real Real (instHDiv.{0} Real (LinearOrderedField.toDiv.{0} Real Real.instLinearOrderedFieldReal)) r (NNReal.toReal c))))
 Case conversion may be inaccurate. Consider using '#align seminorm.closed_ball_smul Seminorm.closedBall_smulₓ'. -/
 theorem closedBall_smul (p : Seminorm 𝕜 E) {c : NNReal} (hc : 0 < c) (r : ℝ) (x : E) :
     (c • p).closedBall x r = p.closedBall x (r / c) :=
@@ -1076,7 +1076,7 @@ theorem closedBall_smul (p : Seminorm 𝕜 E) {c : NNReal} (hc : 0 < c) (r : ℝ
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : SMul.{u1, u2} 𝕜 E] (p : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) (q : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) (e : E) (r : Real), Eq.{succ u2} (Set.{u2} E) (Seminorm.ball.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 (Sup.sup.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) (Seminorm.hasSup.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) p q) e r) (Inter.inter.{u2} (Set.{u2} E) (Set.hasInter.{u2} E) (Seminorm.ball.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 p e r) (Seminorm.ball.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 q e r))
 but is expected to have type
-  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_2 : AddCommGroup.{u1} E] [_inst_3 : SMul.{u2, u1} 𝕜 E] (p : Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_2) _inst_3) (q : Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_2) _inst_3) (e : E) (r : Real), Eq.{succ u1} (Set.{u1} E) (Seminorm.ball.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3 (Sup.sup.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_2) _inst_3) (Seminorm.instSupSeminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_2) _inst_3) p q) e r) (Inter.inter.{u1} (Set.{u1} E) (Set.instInterSet.{u1} E) (Seminorm.ball.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3 p e r) (Seminorm.ball.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3 q e r))
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_2 : AddCommGroup.{u1} E] [_inst_3 : SMul.{u2, u1} 𝕜 E] (p : Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_2) _inst_3) (q : Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_2) _inst_3) (e : E) (r : Real), Eq.{succ u1} (Set.{u1} E) (Seminorm.ball.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3 (Sup.sup.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_2) _inst_3) (Seminorm.instSup.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_2) _inst_3) p q) e r) (Inter.inter.{u1} (Set.{u1} E) (Set.instInterSet.{u1} E) (Seminorm.ball.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3 p e r) (Seminorm.ball.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3 q e r))
 Case conversion may be inaccurate. Consider using '#align seminorm.ball_sup Seminorm.ball_supₓ'. -/
 theorem ball_sup (p : Seminorm 𝕜 E) (q : Seminorm 𝕜 E) (e : E) (r : ℝ) :
     ball (p ⊔ q) e r = ball p e r ∩ ball q e r := by
@@ -1087,7 +1087,7 @@ theorem ball_sup (p : Seminorm 𝕜 E) (q : Seminorm 𝕜 E) (e : E) (r : ℝ) :
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : SMul.{u1, u2} 𝕜 E] (p : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) (q : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) (e : E) (r : Real), Eq.{succ u2} (Set.{u2} E) (Seminorm.closedBall.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 (Sup.sup.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) (Seminorm.hasSup.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) p q) e r) (Inter.inter.{u2} (Set.{u2} E) (Set.hasInter.{u2} E) (Seminorm.closedBall.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 p e r) (Seminorm.closedBall.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 q e r))
 but is expected to have type
-  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_2 : AddCommGroup.{u1} E] [_inst_3 : SMul.{u2, u1} 𝕜 E] (p : Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_2) _inst_3) (q : Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_2) _inst_3) (e : E) (r : Real), Eq.{succ u1} (Set.{u1} E) (Seminorm.closedBall.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3 (Sup.sup.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_2) _inst_3) (Seminorm.instSupSeminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_2) _inst_3) p q) e r) (Inter.inter.{u1} (Set.{u1} E) (Set.instInterSet.{u1} E) (Seminorm.closedBall.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3 p e r) (Seminorm.closedBall.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3 q e r))
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_2 : AddCommGroup.{u1} E] [_inst_3 : SMul.{u2, u1} 𝕜 E] (p : Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_2) _inst_3) (q : Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_2) _inst_3) (e : E) (r : Real), Eq.{succ u1} (Set.{u1} E) (Seminorm.closedBall.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3 (Sup.sup.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_2) _inst_3) (Seminorm.instSup.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_2) _inst_3) p q) e r) (Inter.inter.{u1} (Set.{u1} E) (Set.instInterSet.{u1} E) (Seminorm.closedBall.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3 p e r) (Seminorm.closedBall.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3 q e r))
 Case conversion may be inaccurate. Consider using '#align seminorm.closed_ball_sup Seminorm.closedBall_supₓ'. -/
 theorem closedBall_sup (p : Seminorm 𝕜 E) (q : Seminorm 𝕜 E) (e : E) (r : ℝ) :
     closedBall (p ⊔ q) e r = closedBall p e r ∩ closedBall q e r := by
@@ -1098,7 +1098,7 @@ theorem closedBall_sup (p : Seminorm 𝕜 E) (q : Seminorm 𝕜 E) (e : E) (r :
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {E : Type.{u2}} {ι : Type.{u3}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : SMul.{u1, u2} 𝕜 E] (p : ι -> (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3)) (s : Finset.{u3} ι) (H : Finset.Nonempty.{u3} ι s) (e : E) (r : Real), Eq.{succ u2} (Set.{u2} E) (Seminorm.ball.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 (Finset.sup'.{u2, u3} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) ι (Seminorm.semilatticeSup.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) s H p) e r) (Finset.inf'.{u2, u3} (Set.{u2} E) ι (Lattice.toSemilatticeInf.{u2} (Set.{u2} E) (ConditionallyCompleteLattice.toLattice.{u2} (Set.{u2} E) (CompleteLattice.toConditionallyCompleteLattice.{u2} (Set.{u2} E) (Order.Coframe.toCompleteLattice.{u2} (Set.{u2} E) (CompleteDistribLattice.toCoframe.{u2} (Set.{u2} E) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u2} (Set.{u2} E) (Set.completeBooleanAlgebra.{u2} E))))))) s H (fun (i : ι) => Seminorm.ball.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 (p i) e r))
 but is expected to have type
-  forall {𝕜 : Type.{u3}} {E : Type.{u2}} {ι : Type.{u1}} [_inst_1 : SeminormedRing.{u3} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : SMul.{u3, u2} 𝕜 E] (p : ι -> (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3)) (s : Finset.{u1} ι) (H : Finset.Nonempty.{u1} ι s) (e : E) (r : Real), Eq.{succ u2} (Set.{u2} E) (Seminorm.ball.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3 (Finset.sup'.{u2, u1} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) ι (Seminorm.semilatticeSup.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) s H p) e r) (Finset.inf'.{u2, u1} (Set.{u2} E) ι (Lattice.toSemilatticeInf.{u2} (Set.{u2} E) (ConditionallyCompleteLattice.toLattice.{u2} (Set.{u2} E) (CompleteLattice.toConditionallyCompleteLattice.{u2} (Set.{u2} E) (Order.Coframe.toCompleteLattice.{u2} (Set.{u2} E) (CompleteDistribLattice.toCoframe.{u2} (Set.{u2} E) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u2} (Set.{u2} E) (Set.instCompleteBooleanAlgebraSet.{u2} E))))))) s H (fun (i : ι) => Seminorm.ball.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3 (p i) e r))
+  forall {𝕜 : Type.{u3}} {E : Type.{u2}} {ι : Type.{u1}} [_inst_1 : SeminormedRing.{u3} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : SMul.{u3, u2} 𝕜 E] (p : ι -> (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3)) (s : Finset.{u1} ι) (H : Finset.Nonempty.{u1} ι s) (e : E) (r : Real), Eq.{succ u2} (Set.{u2} E) (Seminorm.ball.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3 (Finset.sup'.{u2, u1} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) ι (Seminorm.instSemilatticeSup.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) s H p) e r) (Finset.inf'.{u2, u1} (Set.{u2} E) ι (Lattice.toSemilatticeInf.{u2} (Set.{u2} E) (ConditionallyCompleteLattice.toLattice.{u2} (Set.{u2} E) (CompleteLattice.toConditionallyCompleteLattice.{u2} (Set.{u2} E) (Order.Coframe.toCompleteLattice.{u2} (Set.{u2} E) (CompleteDistribLattice.toCoframe.{u2} (Set.{u2} E) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u2} (Set.{u2} E) (Set.instCompleteBooleanAlgebraSet.{u2} E))))))) s H (fun (i : ι) => Seminorm.ball.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3 (p i) e r))
 Case conversion may be inaccurate. Consider using '#align seminorm.ball_finset_sup' Seminorm.ball_finset_sup'ₓ'. -/
 theorem ball_finset_sup' (p : ι → Seminorm 𝕜 E) (s : Finset ι) (H : s.Nonempty) (e : E) (r : ℝ) :
     ball (s.sup' H p) e r = s.inf' H fun i => ball (p i) e r :=
@@ -1112,7 +1112,7 @@ theorem ball_finset_sup' (p : ι → Seminorm 𝕜 E) (s : Finset ι) (H : s.Non
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {E : Type.{u2}} {ι : Type.{u3}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : SMul.{u1, u2} 𝕜 E] (p : ι -> (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3)) (s : Finset.{u3} ι) (H : Finset.Nonempty.{u3} ι s) (e : E) (r : Real), Eq.{succ u2} (Set.{u2} E) (Seminorm.closedBall.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 (Finset.sup'.{u2, u3} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) ι (Seminorm.semilatticeSup.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) s H p) e r) (Finset.inf'.{u2, u3} (Set.{u2} E) ι (Lattice.toSemilatticeInf.{u2} (Set.{u2} E) (ConditionallyCompleteLattice.toLattice.{u2} (Set.{u2} E) (CompleteLattice.toConditionallyCompleteLattice.{u2} (Set.{u2} E) (Order.Coframe.toCompleteLattice.{u2} (Set.{u2} E) (CompleteDistribLattice.toCoframe.{u2} (Set.{u2} E) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u2} (Set.{u2} E) (Set.completeBooleanAlgebra.{u2} E))))))) s H (fun (i : ι) => Seminorm.closedBall.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 (p i) e r))
 but is expected to have type
-  forall {𝕜 : Type.{u3}} {E : Type.{u2}} {ι : Type.{u1}} [_inst_1 : SeminormedRing.{u3} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : SMul.{u3, u2} 𝕜 E] (p : ι -> (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3)) (s : Finset.{u1} ι) (H : Finset.Nonempty.{u1} ι s) (e : E) (r : Real), Eq.{succ u2} (Set.{u2} E) (Seminorm.closedBall.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3 (Finset.sup'.{u2, u1} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) ι (Seminorm.semilatticeSup.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) s H p) e r) (Finset.inf'.{u2, u1} (Set.{u2} E) ι (Lattice.toSemilatticeInf.{u2} (Set.{u2} E) (ConditionallyCompleteLattice.toLattice.{u2} (Set.{u2} E) (CompleteLattice.toConditionallyCompleteLattice.{u2} (Set.{u2} E) (Order.Coframe.toCompleteLattice.{u2} (Set.{u2} E) (CompleteDistribLattice.toCoframe.{u2} (Set.{u2} E) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u2} (Set.{u2} E) (Set.instCompleteBooleanAlgebraSet.{u2} E))))))) s H (fun (i : ι) => Seminorm.closedBall.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3 (p i) e r))
+  forall {𝕜 : Type.{u3}} {E : Type.{u2}} {ι : Type.{u1}} [_inst_1 : SeminormedRing.{u3} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : SMul.{u3, u2} 𝕜 E] (p : ι -> (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3)) (s : Finset.{u1} ι) (H : Finset.Nonempty.{u1} ι s) (e : E) (r : Real), Eq.{succ u2} (Set.{u2} E) (Seminorm.closedBall.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3 (Finset.sup'.{u2, u1} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) ι (Seminorm.instSemilatticeSup.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) s H p) e r) (Finset.inf'.{u2, u1} (Set.{u2} E) ι (Lattice.toSemilatticeInf.{u2} (Set.{u2} E) (ConditionallyCompleteLattice.toLattice.{u2} (Set.{u2} E) (CompleteLattice.toConditionallyCompleteLattice.{u2} (Set.{u2} E) (Order.Coframe.toCompleteLattice.{u2} (Set.{u2} E) (CompleteDistribLattice.toCoframe.{u2} (Set.{u2} E) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u2} (Set.{u2} E) (Set.instCompleteBooleanAlgebraSet.{u2} E))))))) s H (fun (i : ι) => Seminorm.closedBall.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3 (p i) e r))
 Case conversion may be inaccurate. Consider using '#align seminorm.closed_ball_finset_sup' Seminorm.closedBall_finset_sup'ₓ'. -/
 theorem closedBall_finset_sup' (p : ι → Seminorm 𝕜 E) (s : Finset ι) (H : s.Nonempty) (e : E)
     (r : ℝ) : closedBall (s.sup' H p) e r = s.inf' H fun i => closedBall (p i) e r :=
@@ -1146,7 +1146,7 @@ theorem closedBall_mono {p : Seminorm 𝕜 E} {r₁ r₂ : ℝ} (h : r₁ ≤ r
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : SMul.{u1, u2} 𝕜 E] {x : E} {r : Real} {p : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3} {q : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3}, (LE.le.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) (Preorder.toLE.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) (PartialOrder.toPreorder.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) (Seminorm.partialOrder.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3))) q p) -> (HasSubset.Subset.{u2} (Set.{u2} E) (Set.hasSubset.{u2} E) (Seminorm.ball.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 p x r) (Seminorm.ball.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 q x r))
 but is expected to have type
-  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_2 : AddCommGroup.{u1} E] [_inst_3 : SMul.{u2, u1} 𝕜 E] {x : E} {r : Real} {p : Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_2) _inst_3} {q : Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_2) _inst_3}, (LE.le.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_2) _inst_3) (Preorder.toLE.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_2) _inst_3) (PartialOrder.toPreorder.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_2) _inst_3) (Seminorm.instPartialOrderSeminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_2) _inst_3))) q p) -> (HasSubset.Subset.{u1} (Set.{u1} E) (Set.instHasSubsetSet.{u1} E) (Seminorm.ball.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3 p x r) (Seminorm.ball.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3 q x r))
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_2 : AddCommGroup.{u1} E] [_inst_3 : SMul.{u2, u1} 𝕜 E] {x : E} {r : Real} {p : Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_2) _inst_3} {q : Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_2) _inst_3}, (LE.le.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_2) _inst_3) (Preorder.toLE.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_2) _inst_3) (PartialOrder.toPreorder.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_2) _inst_3) (Seminorm.instPartialOrder.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_2) _inst_3))) q p) -> (HasSubset.Subset.{u1} (Set.{u1} E) (Set.instHasSubsetSet.{u1} E) (Seminorm.ball.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3 p x r) (Seminorm.ball.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3 q x r))
 Case conversion may be inaccurate. Consider using '#align seminorm.ball_antitone Seminorm.ball_antitoneₓ'. -/
 theorem ball_antitone {p q : Seminorm 𝕜 E} (h : q ≤ p) : p.ball x r ⊆ q.ball x r := fun _ =>
   (h _).trans_lt
@@ -1156,7 +1156,7 @@ theorem ball_antitone {p q : Seminorm 𝕜 E} (h : q ≤ p) : p.ball x r ⊆ q.b
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : SMul.{u1, u2} 𝕜 E] {x : E} {r : Real} {p : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3} {q : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3}, (LE.le.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) (Preorder.toLE.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) (PartialOrder.toPreorder.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) (Seminorm.partialOrder.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3))) q p) -> (HasSubset.Subset.{u2} (Set.{u2} E) (Set.hasSubset.{u2} E) (Seminorm.closedBall.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 p x r) (Seminorm.closedBall.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 q x r))
 but is expected to have type
-  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_2 : AddCommGroup.{u1} E] [_inst_3 : SMul.{u2, u1} 𝕜 E] {x : E} {r : Real} {p : Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_2) _inst_3} {q : Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_2) _inst_3}, (LE.le.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_2) _inst_3) (Preorder.toLE.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_2) _inst_3) (PartialOrder.toPreorder.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_2) _inst_3) (Seminorm.instPartialOrderSeminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_2) _inst_3))) q p) -> (HasSubset.Subset.{u1} (Set.{u1} E) (Set.instHasSubsetSet.{u1} E) (Seminorm.closedBall.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3 p x r) (Seminorm.closedBall.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3 q x r))
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_2 : AddCommGroup.{u1} E] [_inst_3 : SMul.{u2, u1} 𝕜 E] {x : E} {r : Real} {p : Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_2) _inst_3} {q : Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_2) _inst_3}, (LE.le.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_2) _inst_3) (Preorder.toLE.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_2) _inst_3) (PartialOrder.toPreorder.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_2) _inst_3) (Seminorm.instPartialOrder.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_2) _inst_3))) q p) -> (HasSubset.Subset.{u1} (Set.{u1} E) (Set.instHasSubsetSet.{u1} E) (Seminorm.closedBall.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3 p x r) (Seminorm.closedBall.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3 q x r))
 Case conversion may be inaccurate. Consider using '#align seminorm.closed_ball_antitone Seminorm.closedBall_antitoneₓ'. -/
 theorem closedBall_antitone {p q : Seminorm 𝕜 E} (h : q ≤ p) :
     p.closedBall x r ⊆ q.closedBall x r := fun _ => (h _).trans
@@ -1266,7 +1266,7 @@ variable (p : Seminorm 𝕜 E)
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (p : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) {r : Real}, Eq.{succ u2} (Set.{u2} E) (Set.preimage.{u2, 0} E Real (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (fun (_x : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) p) (Metric.ball.{0} Real Real.pseudoMetricSpace (OfNat.ofNat.{0} Real 0 (OfNat.mk.{0} Real 0 (Zero.zero.{0} Real Real.hasZero))) r)) (setOf.{u2} E (fun (x : E) => LT.lt.{0} Real Real.hasLt (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (fun (_x : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) p x) r))
 but is expected to have type
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (p : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) {r : Real}, Eq.{succ u2} (Set.{u2} E) (Set.preimage.{u2, 0} E Real (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Seminorm.seminormClass.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))))) p) (Metric.ball.{0} Real Real.pseudoMetricSpace (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) r)) (setOf.{u2} E (fun (x : E) => LT.lt.{0} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) x) Real.instLTReal (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Seminorm.seminormClass.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))))) p x) r))
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (p : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) {r : Real}, Eq.{succ u2} (Set.{u2} E) (Set.preimage.{u2, 0} E Real (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Seminorm.instSeminormClass.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))))) p) (Metric.ball.{0} Real Real.pseudoMetricSpace (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) r)) (setOf.{u2} E (fun (x : E) => LT.lt.{0} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) x) Real.instLTReal (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Seminorm.instSeminormClass.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))))) p x) r))
 Case conversion may be inaccurate. Consider using '#align seminorm.preimage_metric_ball Seminorm.preimage_metric_ballₓ'. -/
 theorem preimage_metric_ball {r : ℝ} : p ⁻¹' Metric.ball 0 r = { x | p x < r } :=
   by
@@ -1278,7 +1278,7 @@ theorem preimage_metric_ball {r : ℝ} : p ⁻¹' Metric.ball 0 r = { x | p x <
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (p : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) {r : Real}, Eq.{succ u2} (Set.{u2} E) (Set.preimage.{u2, 0} E Real (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (fun (_x : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) p) (Metric.closedBall.{0} Real Real.pseudoMetricSpace (OfNat.ofNat.{0} Real 0 (OfNat.mk.{0} Real 0 (Zero.zero.{0} Real Real.hasZero))) r)) (setOf.{u2} E (fun (x : E) => LE.le.{0} Real Real.hasLe (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (fun (_x : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) p x) r))
 but is expected to have type
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (p : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) {r : Real}, Eq.{succ u2} (Set.{u2} E) (Set.preimage.{u2, 0} E Real (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Seminorm.seminormClass.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))))) p) (Metric.closedBall.{0} Real Real.pseudoMetricSpace (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) r)) (setOf.{u2} E (fun (x : E) => LE.le.{0} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) x) Real.instLEReal (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Seminorm.seminormClass.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))))) p x) r))
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (p : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) {r : Real}, Eq.{succ u2} (Set.{u2} E) (Set.preimage.{u2, 0} E Real (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Seminorm.instSeminormClass.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))))) p) (Metric.closedBall.{0} Real Real.pseudoMetricSpace (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) r)) (setOf.{u2} E (fun (x : E) => LE.le.{0} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) x) Real.instLEReal (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Seminorm.instSeminormClass.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))))) p x) r))
 Case conversion may be inaccurate. Consider using '#align seminorm.preimage_metric_closed_ball Seminorm.preimage_metric_closedBallₓ'. -/
 theorem preimage_metric_closedBall {r : ℝ} : p ⁻¹' Metric.closedBall 0 r = { x | p x ≤ r } :=
   by
@@ -1291,7 +1291,7 @@ theorem preimage_metric_closedBall {r : ℝ} : p ⁻¹' Metric.closedBall 0 r =
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (p : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) {r : Real}, Eq.{succ u2} (Set.{u2} E) (Seminorm.ball.{u1, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) p (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)))))))) r) (Set.preimage.{u2, 0} E Real (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (fun (_x : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) p) (Metric.ball.{0} Real Real.pseudoMetricSpace (OfNat.ofNat.{0} Real 0 (OfNat.mk.{0} Real 0 (Zero.zero.{0} Real Real.hasZero))) r))
 but is expected to have type
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (p : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) {r : Real}, Eq.{succ u2} (Set.{u2} E) (Seminorm.ball.{u1, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) p (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))))) r) (Set.preimage.{u2, 0} E Real (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Seminorm.seminormClass.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))))) p) (Metric.ball.{0} Real Real.pseudoMetricSpace (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) r))
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (p : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) {r : Real}, Eq.{succ u2} (Set.{u2} E) (Seminorm.ball.{u1, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) p (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))))) r) (Set.preimage.{u2, 0} E Real (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Seminorm.instSeminormClass.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))))) p) (Metric.ball.{0} Real Real.pseudoMetricSpace (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) r))
 Case conversion may be inaccurate. Consider using '#align seminorm.ball_zero_eq_preimage_ball Seminorm.ball_zero_eq_preimage_ballₓ'. -/
 theorem ball_zero_eq_preimage_ball {r : ℝ} : p.ball 0 r = p ⁻¹' Metric.ball 0 r := by
   rw [ball_zero_eq, preimage_metric_ball]
@@ -1301,7 +1301,7 @@ theorem ball_zero_eq_preimage_ball {r : ℝ} : p.ball 0 r = p ⁻¹' Metric.ball
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (p : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) {r : Real}, Eq.{succ u2} (Set.{u2} E) (Seminorm.closedBall.{u1, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) p (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)))))))) r) (Set.preimage.{u2, 0} E Real (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (fun (_x : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) p) (Metric.closedBall.{0} Real Real.pseudoMetricSpace (OfNat.ofNat.{0} Real 0 (OfNat.mk.{0} Real 0 (Zero.zero.{0} Real Real.hasZero))) r))
 but is expected to have type
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (p : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) {r : Real}, Eq.{succ u2} (Set.{u2} E) (Seminorm.closedBall.{u1, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) p (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))))) r) (Set.preimage.{u2, 0} E Real (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Seminorm.seminormClass.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))))) p) (Metric.closedBall.{0} Real Real.pseudoMetricSpace (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) r))
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (p : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) {r : Real}, Eq.{succ u2} (Set.{u2} E) (Seminorm.closedBall.{u1, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) p (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))))) r) (Set.preimage.{u2, 0} E Real (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Seminorm.instSeminormClass.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))))) p) (Metric.closedBall.{0} Real Real.pseudoMetricSpace (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) r))
 Case conversion may be inaccurate. Consider using '#align seminorm.closed_ball_zero_eq_preimage_closed_ball Seminorm.closedBall_zero_eq_preimage_closedBallₓ'. -/
 theorem closedBall_zero_eq_preimage_closedBall {r : ℝ} :
     p.closedBall 0 r = p ⁻¹' Metric.closedBall 0 r := by
@@ -1312,7 +1312,7 @@ theorem closedBall_zero_eq_preimage_closedBall {r : ℝ} :
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {r : Real} (x : E), (LT.lt.{0} Real Real.hasLt (OfNat.ofNat.{0} Real 0 (OfNat.mk.{0} Real 0 (Zero.zero.{0} Real Real.hasZero))) r) -> (Eq.{succ u2} (Set.{u2} E) (Seminorm.ball.{u1, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Bot.bot.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (OrderBot.toHasBot.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Preorder.toLE.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (PartialOrder.toPreorder.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Seminorm.partialOrder.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))))) (Seminorm.orderBot.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) x r) (Set.univ.{u2} E))
 but is expected to have type
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {r : Real} (x : E), (LT.lt.{0} Real Real.instLTReal (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) r) -> (Eq.{succ u2} (Set.{u2} E) (Seminorm.ball.{u1, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Bot.bot.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (OrderBot.toBot.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Preorder.toLE.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (PartialOrder.toPreorder.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Seminorm.instPartialOrderSeminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))))) (Seminorm.instOrderBotSeminormToAddGroupToSMulToZeroToNegZeroClassToSubNegZeroMonoidToSubtractionMonoidToDivisionAddCommMonoidToSMulZeroClassToZeroToMonoidWithZeroToSemiringToRingToSMulWithZeroToMulActionWithZeroToAddCommMonoidToLEToPreorderInstPartialOrderSeminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) x r) (Set.univ.{u2} E))
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {r : Real} (x : E), (LT.lt.{0} Real Real.instLTReal (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) r) -> (Eq.{succ u2} (Set.{u2} E) (Seminorm.ball.{u1, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Bot.bot.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (OrderBot.toBot.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Preorder.toLE.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (PartialOrder.toPreorder.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Seminorm.instPartialOrder.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))))) (Seminorm.instOrderBot.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) x r) (Set.univ.{u2} E))
 Case conversion may be inaccurate. Consider using '#align seminorm.ball_bot Seminorm.ball_botₓ'. -/
 @[simp]
 theorem ball_bot {r : ℝ} (x : E) (hr : 0 < r) : ball (⊥ : Seminorm 𝕜 E) x r = Set.univ :=
@@ -1323,7 +1323,7 @@ theorem ball_bot {r : ℝ} (x : E) (hr : 0 < r) : ball (⊥ : Seminorm 𝕜 E) x
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {r : Real} (x : E), (LT.lt.{0} Real Real.hasLt (OfNat.ofNat.{0} Real 0 (OfNat.mk.{0} Real 0 (Zero.zero.{0} Real Real.hasZero))) r) -> (Eq.{succ u2} (Set.{u2} E) (Seminorm.closedBall.{u1, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Bot.bot.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (OrderBot.toHasBot.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Preorder.toLE.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (PartialOrder.toPreorder.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Seminorm.partialOrder.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))))) (Seminorm.orderBot.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) x r) (Set.univ.{u2} E))
 but is expected to have type
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {r : Real} (x : E), (LT.lt.{0} Real Real.instLTReal (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) r) -> (Eq.{succ u2} (Set.{u2} E) (Seminorm.closedBall.{u1, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Bot.bot.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (OrderBot.toBot.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Preorder.toLE.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (PartialOrder.toPreorder.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Seminorm.instPartialOrderSeminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))))) (Seminorm.instOrderBotSeminormToAddGroupToSMulToZeroToNegZeroClassToSubNegZeroMonoidToSubtractionMonoidToDivisionAddCommMonoidToSMulZeroClassToZeroToMonoidWithZeroToSemiringToRingToSMulWithZeroToMulActionWithZeroToAddCommMonoidToLEToPreorderInstPartialOrderSeminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) x r) (Set.univ.{u2} E))
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {r : Real} (x : E), (LT.lt.{0} Real Real.instLTReal (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) r) -> (Eq.{succ u2} (Set.{u2} E) (Seminorm.closedBall.{u1, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Bot.bot.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (OrderBot.toBot.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Preorder.toLE.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (PartialOrder.toPreorder.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Seminorm.instPartialOrder.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))))) (Seminorm.instOrderBot.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) x r) (Set.univ.{u2} E))
 Case conversion may be inaccurate. Consider using '#align seminorm.closed_ball_bot Seminorm.closedBall_botₓ'. -/
 @[simp]
 theorem closedBall_bot {r : ℝ} (x : E) (hr : 0 < r) :
@@ -1369,7 +1369,7 @@ theorem balanced_closedBall_zero (r : ℝ) : Balanced 𝕜 (closedBall p 0 r) :=
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {E : Type.{u2}} {ι : Type.{u3}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (p : ι -> (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) (s : Finset.{u3} ι) (x : E) {r : Real}, (LT.lt.{0} Real Real.hasLt (OfNat.ofNat.{0} Real 0 (OfNat.mk.{0} Real 0 (Zero.zero.{0} Real Real.hasZero))) r) -> (Eq.{succ u2} (Set.{u2} E) (Seminorm.ball.{u1, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Finset.sup.{u2, u3} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) ι (Seminorm.semilatticeSup.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Seminorm.orderBot.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) s p) x r) (Set.interᵢ.{u2, succ u3} E ι (fun (i : ι) => Set.interᵢ.{u2, 0} E (Membership.Mem.{u3, u3} ι (Finset.{u3} ι) (Finset.hasMem.{u3} ι) i s) (fun (H : Membership.Mem.{u3, u3} ι (Finset.{u3} ι) (Finset.hasMem.{u3} ι) i s) => Seminorm.ball.{u1, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (p i) x r))))
 but is expected to have type
-  forall {𝕜 : Type.{u3}} {E : Type.{u2}} {ι : Type.{u1}} [_inst_1 : SeminormedRing.{u3} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (p : ι -> (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) (s : Finset.{u1} ι) (x : E) {r : Real}, (LT.lt.{0} Real Real.instLTReal (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) r) -> (Eq.{succ u2} (Set.{u2} E) (Seminorm.ball.{u3, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Finset.sup.{u2, u1} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) ι (Seminorm.semilatticeSup.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Seminorm.instOrderBotSeminormToAddGroupToSMulToZeroToNegZeroClassToSubNegZeroMonoidToSubtractionMonoidToDivisionAddCommMonoidToSMulZeroClassToZeroToMonoidWithZeroToSemiringToRingToSMulWithZeroToMulActionWithZeroToAddCommMonoidToLEToPreorderInstPartialOrderSeminorm.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3) s p) x r) (Set.interᵢ.{u2, succ u1} E ι (fun (i : ι) => Set.interᵢ.{u2, 0} E (Membership.mem.{u1, u1} ι (Finset.{u1} ι) (Finset.instMembershipFinset.{u1} ι) i s) (fun (H : Membership.mem.{u1, u1} ι (Finset.{u1} ι) (Finset.instMembershipFinset.{u1} ι) i s) => Seminorm.ball.{u3, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (p i) x r))))
+  forall {𝕜 : Type.{u3}} {E : Type.{u2}} {ι : Type.{u1}} [_inst_1 : SeminormedRing.{u3} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (p : ι -> (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) (s : Finset.{u1} ι) (x : E) {r : Real}, (LT.lt.{0} Real Real.instLTReal (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) r) -> (Eq.{succ u2} (Set.{u2} E) (Seminorm.ball.{u3, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Finset.sup.{u2, u1} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) ι (Seminorm.instSemilatticeSup.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Seminorm.instOrderBot.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3) s p) x r) (Set.interᵢ.{u2, succ u1} E ι (fun (i : ι) => Set.interᵢ.{u2, 0} E (Membership.mem.{u1, u1} ι (Finset.{u1} ι) (Finset.instMembershipFinset.{u1} ι) i s) (fun (H : Membership.mem.{u1, u1} ι (Finset.{u1} ι) (Finset.instMembershipFinset.{u1} ι) i s) => Seminorm.ball.{u3, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (p i) x r))))
 Case conversion may be inaccurate. Consider using '#align seminorm.ball_finset_sup_eq_Inter Seminorm.ball_finset_sup_eq_interᵢₓ'. -/
 theorem ball_finset_sup_eq_interᵢ (p : ι → Seminorm 𝕜 E) (s : Finset ι) (x : E) {r : ℝ}
     (hr : 0 < r) : ball (s.sup p) x r = ⋂ i ∈ s, ball (p i) x r :=
@@ -1383,7 +1383,7 @@ theorem ball_finset_sup_eq_interᵢ (p : ι → Seminorm 𝕜 E) (s : Finset ι)
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {E : Type.{u2}} {ι : Type.{u3}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (p : ι -> (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) (s : Finset.{u3} ι) (x : E) {r : Real}, (LE.le.{0} Real Real.hasLe (OfNat.ofNat.{0} Real 0 (OfNat.mk.{0} Real 0 (Zero.zero.{0} Real Real.hasZero))) r) -> (Eq.{succ u2} (Set.{u2} E) (Seminorm.closedBall.{u1, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Finset.sup.{u2, u3} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) ι (Seminorm.semilatticeSup.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Seminorm.orderBot.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) s p) x r) (Set.interᵢ.{u2, succ u3} E ι (fun (i : ι) => Set.interᵢ.{u2, 0} E (Membership.Mem.{u3, u3} ι (Finset.{u3} ι) (Finset.hasMem.{u3} ι) i s) (fun (H : Membership.Mem.{u3, u3} ι (Finset.{u3} ι) (Finset.hasMem.{u3} ι) i s) => Seminorm.closedBall.{u1, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (p i) x r))))
 but is expected to have type
-  forall {𝕜 : Type.{u3}} {E : Type.{u2}} {ι : Type.{u1}} [_inst_1 : SeminormedRing.{u3} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (p : ι -> (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) (s : Finset.{u1} ι) (x : E) {r : Real}, (LE.le.{0} Real Real.instLEReal (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) r) -> (Eq.{succ u2} (Set.{u2} E) (Seminorm.closedBall.{u3, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Finset.sup.{u2, u1} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) ι (Seminorm.semilatticeSup.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Seminorm.instOrderBotSeminormToAddGroupToSMulToZeroToNegZeroClassToSubNegZeroMonoidToSubtractionMonoidToDivisionAddCommMonoidToSMulZeroClassToZeroToMonoidWithZeroToSemiringToRingToSMulWithZeroToMulActionWithZeroToAddCommMonoidToLEToPreorderInstPartialOrderSeminorm.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3) s p) x r) (Set.interᵢ.{u2, succ u1} E ι (fun (i : ι) => Set.interᵢ.{u2, 0} E (Membership.mem.{u1, u1} ι (Finset.{u1} ι) (Finset.instMembershipFinset.{u1} ι) i s) (fun (H : Membership.mem.{u1, u1} ι (Finset.{u1} ι) (Finset.instMembershipFinset.{u1} ι) i s) => Seminorm.closedBall.{u3, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (p i) x r))))
+  forall {𝕜 : Type.{u3}} {E : Type.{u2}} {ι : Type.{u1}} [_inst_1 : SeminormedRing.{u3} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (p : ι -> (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) (s : Finset.{u1} ι) (x : E) {r : Real}, (LE.le.{0} Real Real.instLEReal (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) r) -> (Eq.{succ u2} (Set.{u2} E) (Seminorm.closedBall.{u3, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Finset.sup.{u2, u1} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) ι (Seminorm.instSemilatticeSup.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Seminorm.instOrderBot.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3) s p) x r) (Set.interᵢ.{u2, succ u1} E ι (fun (i : ι) => Set.interᵢ.{u2, 0} E (Membership.mem.{u1, u1} ι (Finset.{u1} ι) (Finset.instMembershipFinset.{u1} ι) i s) (fun (H : Membership.mem.{u1, u1} ι (Finset.{u1} ι) (Finset.instMembershipFinset.{u1} ι) i s) => Seminorm.closedBall.{u3, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (p i) x r))))
 Case conversion may be inaccurate. Consider using '#align seminorm.closed_ball_finset_sup_eq_Inter Seminorm.closedBall_finset_sup_eq_interᵢₓ'. -/
 theorem closedBall_finset_sup_eq_interᵢ (p : ι → Seminorm 𝕜 E) (s : Finset ι) (x : E) {r : ℝ}
     (hr : 0 ≤ r) : closedBall (s.sup p) x r = ⋂ i ∈ s, closedBall (p i) x r :=
@@ -1397,7 +1397,7 @@ theorem closedBall_finset_sup_eq_interᵢ (p : ι → Seminorm 𝕜 E) (s : Fins
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {E : Type.{u2}} {ι : Type.{u3}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (p : ι -> (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) (s : Finset.{u3} ι) (x : E) {r : Real}, (LT.lt.{0} Real Real.hasLt (OfNat.ofNat.{0} Real 0 (OfNat.mk.{0} Real 0 (Zero.zero.{0} Real Real.hasZero))) r) -> (Eq.{succ u2} (Set.{u2} E) (Seminorm.ball.{u1, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Finset.sup.{u2, u3} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) ι (Seminorm.semilatticeSup.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Seminorm.orderBot.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) s p) x r) (Finset.inf.{u2, u3} (Set.{u2} E) ι (Lattice.toSemilatticeInf.{u2} (Set.{u2} E) (ConditionallyCompleteLattice.toLattice.{u2} (Set.{u2} E) (CompleteLattice.toConditionallyCompleteLattice.{u2} (Set.{u2} E) (Order.Coframe.toCompleteLattice.{u2} (Set.{u2} E) (CompleteDistribLattice.toCoframe.{u2} (Set.{u2} E) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u2} (Set.{u2} E) (Set.completeBooleanAlgebra.{u2} E))))))) (Set.orderTop.{u2} E) s (fun (i : ι) => Seminorm.ball.{u1, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (p i) x r)))
 but is expected to have type
-  forall {𝕜 : Type.{u3}} {E : Type.{u2}} {ι : Type.{u1}} [_inst_1 : SeminormedRing.{u3} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (p : ι -> (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) (s : Finset.{u1} ι) (x : E) {r : Real}, (LT.lt.{0} Real Real.instLTReal (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) r) -> (Eq.{succ u2} (Set.{u2} E) (Seminorm.ball.{u3, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Finset.sup.{u2, u1} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) ι (Seminorm.semilatticeSup.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Seminorm.instOrderBotSeminormToAddGroupToSMulToZeroToNegZeroClassToSubNegZeroMonoidToSubtractionMonoidToDivisionAddCommMonoidToSMulZeroClassToZeroToMonoidWithZeroToSemiringToRingToSMulWithZeroToMulActionWithZeroToAddCommMonoidToLEToPreorderInstPartialOrderSeminorm.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3) s p) x r) (Finset.inf.{u2, u1} (Set.{u2} E) ι (Lattice.toSemilatticeInf.{u2} (Set.{u2} E) (ConditionallyCompleteLattice.toLattice.{u2} (Set.{u2} E) (CompleteLattice.toConditionallyCompleteLattice.{u2} (Set.{u2} E) (Order.Coframe.toCompleteLattice.{u2} (Set.{u2} E) (CompleteDistribLattice.toCoframe.{u2} (Set.{u2} E) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u2} (Set.{u2} E) (Set.instCompleteBooleanAlgebraSet.{u2} E))))))) (Set.instOrderTopSetInstLESet.{u2} E) s (fun (i : ι) => Seminorm.ball.{u3, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (p i) x r)))
+  forall {𝕜 : Type.{u3}} {E : Type.{u2}} {ι : Type.{u1}} [_inst_1 : SeminormedRing.{u3} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (p : ι -> (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) (s : Finset.{u1} ι) (x : E) {r : Real}, (LT.lt.{0} Real Real.instLTReal (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) r) -> (Eq.{succ u2} (Set.{u2} E) (Seminorm.ball.{u3, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Finset.sup.{u2, u1} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) ι (Seminorm.instSemilatticeSup.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Seminorm.instOrderBot.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3) s p) x r) (Finset.inf.{u2, u1} (Set.{u2} E) ι (Lattice.toSemilatticeInf.{u2} (Set.{u2} E) (ConditionallyCompleteLattice.toLattice.{u2} (Set.{u2} E) (CompleteLattice.toConditionallyCompleteLattice.{u2} (Set.{u2} E) (Order.Coframe.toCompleteLattice.{u2} (Set.{u2} E) (CompleteDistribLattice.toCoframe.{u2} (Set.{u2} E) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u2} (Set.{u2} E) (Set.instCompleteBooleanAlgebraSet.{u2} E))))))) (Set.instOrderTopSetInstLESet.{u2} E) s (fun (i : ι) => Seminorm.ball.{u3, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (p i) x r)))
 Case conversion may be inaccurate. Consider using '#align seminorm.ball_finset_sup Seminorm.ball_finset_supₓ'. -/
 theorem ball_finset_sup (p : ι → Seminorm 𝕜 E) (s : Finset ι) (x : E) {r : ℝ} (hr : 0 < r) :
     ball (s.sup p) x r = s.inf fun i => ball (p i) x r :=
@@ -1410,7 +1410,7 @@ theorem ball_finset_sup (p : ι → Seminorm 𝕜 E) (s : Finset ι) (x : E) {r
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {E : Type.{u2}} {ι : Type.{u3}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (p : ι -> (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) (s : Finset.{u3} ι) (x : E) {r : Real}, (LE.le.{0} Real Real.hasLe (OfNat.ofNat.{0} Real 0 (OfNat.mk.{0} Real 0 (Zero.zero.{0} Real Real.hasZero))) r) -> (Eq.{succ u2} (Set.{u2} E) (Seminorm.closedBall.{u1, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Finset.sup.{u2, u3} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) ι (Seminorm.semilatticeSup.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Seminorm.orderBot.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) s p) x r) (Finset.inf.{u2, u3} (Set.{u2} E) ι (Lattice.toSemilatticeInf.{u2} (Set.{u2} E) (ConditionallyCompleteLattice.toLattice.{u2} (Set.{u2} E) (CompleteLattice.toConditionallyCompleteLattice.{u2} (Set.{u2} E) (Order.Coframe.toCompleteLattice.{u2} (Set.{u2} E) (CompleteDistribLattice.toCoframe.{u2} (Set.{u2} E) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u2} (Set.{u2} E) (Set.completeBooleanAlgebra.{u2} E))))))) (Set.orderTop.{u2} E) s (fun (i : ι) => Seminorm.closedBall.{u1, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (p i) x r)))
 but is expected to have type
-  forall {𝕜 : Type.{u3}} {E : Type.{u2}} {ι : Type.{u1}} [_inst_1 : SeminormedRing.{u3} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (p : ι -> (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) (s : Finset.{u1} ι) (x : E) {r : Real}, (LE.le.{0} Real Real.instLEReal (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) r) -> (Eq.{succ u2} (Set.{u2} E) (Seminorm.closedBall.{u3, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Finset.sup.{u2, u1} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) ι (Seminorm.semilatticeSup.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Seminorm.instOrderBotSeminormToAddGroupToSMulToZeroToNegZeroClassToSubNegZeroMonoidToSubtractionMonoidToDivisionAddCommMonoidToSMulZeroClassToZeroToMonoidWithZeroToSemiringToRingToSMulWithZeroToMulActionWithZeroToAddCommMonoidToLEToPreorderInstPartialOrderSeminorm.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3) s p) x r) (Finset.inf.{u2, u1} (Set.{u2} E) ι (Lattice.toSemilatticeInf.{u2} (Set.{u2} E) (ConditionallyCompleteLattice.toLattice.{u2} (Set.{u2} E) (CompleteLattice.toConditionallyCompleteLattice.{u2} (Set.{u2} E) (Order.Coframe.toCompleteLattice.{u2} (Set.{u2} E) (CompleteDistribLattice.toCoframe.{u2} (Set.{u2} E) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u2} (Set.{u2} E) (Set.instCompleteBooleanAlgebraSet.{u2} E))))))) (Set.instOrderTopSetInstLESet.{u2} E) s (fun (i : ι) => Seminorm.closedBall.{u3, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (p i) x r)))
+  forall {𝕜 : Type.{u3}} {E : Type.{u2}} {ι : Type.{u1}} [_inst_1 : SeminormedRing.{u3} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (p : ι -> (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) (s : Finset.{u1} ι) (x : E) {r : Real}, (LE.le.{0} Real Real.instLEReal (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) r) -> (Eq.{succ u2} (Set.{u2} E) (Seminorm.closedBall.{u3, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Finset.sup.{u2, u1} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) ι (Seminorm.instSemilatticeSup.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Seminorm.instOrderBot.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3) s p) x r) (Finset.inf.{u2, u1} (Set.{u2} E) ι (Lattice.toSemilatticeInf.{u2} (Set.{u2} E) (ConditionallyCompleteLattice.toLattice.{u2} (Set.{u2} E) (CompleteLattice.toConditionallyCompleteLattice.{u2} (Set.{u2} E) (Order.Coframe.toCompleteLattice.{u2} (Set.{u2} E) (CompleteDistribLattice.toCoframe.{u2} (Set.{u2} E) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u2} (Set.{u2} E) (Set.instCompleteBooleanAlgebraSet.{u2} E))))))) (Set.instOrderTopSetInstLESet.{u2} E) s (fun (i : ι) => Seminorm.closedBall.{u3, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (p i) x r)))
 Case conversion may be inaccurate. Consider using '#align seminorm.closed_ball_finset_sup Seminorm.closedBall_finset_supₓ'. -/
 theorem closedBall_finset_sup (p : ι → Seminorm 𝕜 E) (s : Finset ι) (x : E) {r : ℝ} (hr : 0 ≤ r) :
     closedBall (s.sup p) x r = s.inf fun i => closedBall (p i) x r :=
@@ -1607,7 +1607,7 @@ protected theorem absorbent_closedBall_zero (hr : 0 < r) : Absorbent 𝕜 (close
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (p : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) {r : Real} {x : E}, (LT.lt.{0} Real Real.hasLt (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (fun (_x : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) p x) r) -> (Absorbent.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Seminorm.ball.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) p x r))
 but is expected to have type
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (p : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) {r : Real} {x : E}, (LT.lt.{0} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) x) Real.instLTReal (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Seminorm.seminormClass.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))))) p x) r) -> (Absorbent.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Seminorm.ball.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) _inst_2 (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) p x r))
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (p : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) {r : Real} {x : E}, (LT.lt.{0} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) x) Real.instLTReal (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Seminorm.instSeminormClass.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))))) p x) r) -> (Absorbent.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Seminorm.ball.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) _inst_2 (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) p x r))
 Case conversion may be inaccurate. Consider using '#align seminorm.absorbent_ball Seminorm.absorbent_ballₓ'. -/
 /-- Seminorm-balls containing the origin are absorbent. -/
 protected theorem absorbent_ball (hpr : p x < r) : Absorbent 𝕜 (ball p x r) :=
@@ -1621,7 +1621,7 @@ protected theorem absorbent_ball (hpr : p x < r) : Absorbent 𝕜 (ball p x r) :
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (p : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) {r : Real} {x : E}, (LT.lt.{0} Real Real.hasLt (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (fun (_x : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) p x) r) -> (Absorbent.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Seminorm.closedBall.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) p x r))
 but is expected to have type
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (p : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) {r : Real} {x : E}, (LT.lt.{0} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) x) Real.instLTReal (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Seminorm.seminormClass.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))))) p x) r) -> (Absorbent.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Seminorm.closedBall.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) _inst_2 (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) p x r))
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (p : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) {r : Real} {x : E}, (LT.lt.{0} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) x) Real.instLTReal (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Seminorm.instSeminormClass.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))))) p x) r) -> (Absorbent.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Seminorm.closedBall.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) _inst_2 (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) p x r))
 Case conversion may be inaccurate. Consider using '#align seminorm.absorbent_closed_ball Seminorm.absorbent_closedBallₓ'. -/
 /-- Seminorm-balls containing the origin are absorbent. -/
 protected theorem absorbent_closedBall (hpr : p x < r) : Absorbent 𝕜 (closedBall p x r) :=
@@ -1682,7 +1682,7 @@ variable [SMul ℝ E] [IsScalarTower ℝ 𝕜 E] (p : Seminorm 𝕜 E)
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : NormedSpace.{0, u1} Real 𝕜 Real.normedField (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))] [_inst_4 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] [_inst_5 : SMul.{0, u2} Real E] [_inst_6 : IsScalarTower.{0, u1, u2} Real 𝕜 E (SMulZeroClass.toHasSmul.{0, u1} Real 𝕜 (AddZeroClass.toHasZero.{u1} 𝕜 (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddCommMonoid.toAddMonoid.{u1} 𝕜 (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))))) (SMulWithZero.toSmulZeroClass.{0, u1} Real 𝕜 (MulZeroClass.toHasZero.{0} Real (MulZeroOneClass.toMulZeroClass.{0} Real (MonoidWithZero.toMulZeroOneClass.{0} Real (Semiring.toMonoidWithZero.{0} Real (Ring.toSemiring.{0} Real (NormedRing.toRing.{0} Real (NormedCommRing.toNormedRing.{0} Real (NormedField.toNormedCommRing.{0} Real Real.normedField)))))))) (AddZeroClass.toHasZero.{u1} 𝕜 (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddCommMonoid.toAddMonoid.{u1} 𝕜 (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))))) (MulActionWithZero.toSMulWithZero.{0, u1} Real 𝕜 (Semiring.toMonoidWithZero.{0} Real (Ring.toSemiring.{0} Real (NormedRing.toRing.{0} Real (NormedCommRing.toNormedRing.{0} Real (NormedField.toNormedCommRing.{0} Real Real.normedField))))) (AddZeroClass.toHasZero.{u1} 𝕜 (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddCommMonoid.toAddMonoid.{u1} 𝕜 (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))))) (Module.toMulActionWithZero.{0, u1} Real 𝕜 (Ring.toSemiring.{0} Real (NormedRing.toRing.{0} Real (NormedCommRing.toNormedRing.{0} Real (NormedField.toNormedCommRing.{0} Real Real.normedField)))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))))) (NormedSpace.toModule.{0, u1} Real 𝕜 Real.normedField (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) _inst_3))))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_4)))) _inst_5] (p : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_4))))), ConvexOn.{0, u2, 0} Real E Real Real.orderedSemiring (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) Real.orderedAddCommMonoid _inst_5 (Mul.toSMul.{0} Real Real.hasMul) (Set.univ.{u2} E) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_4))))) (fun (_x : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_4))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_4))))) p)
 but is expected to have type
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : NormedSpace.{0, u1} Real 𝕜 Real.normedField (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))] [_inst_4 : Module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] [_inst_5 : SMul.{0, u2} Real E] [_inst_6 : IsScalarTower.{0, u1, u2} Real 𝕜 E (SMulZeroClass.toSMul.{0, u1} Real 𝕜 (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (SMulWithZero.toSMulZeroClass.{0, u1} Real 𝕜 Real.instZeroReal (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (MulActionWithZero.toSMulWithZero.{0, u1} Real 𝕜 Real.instMonoidWithZeroReal (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (Module.toMulActionWithZero.{0, u1} Real 𝕜 Real.semiring (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))))) (NormedSpace.toModule.{0, u1} Real 𝕜 Real.normedField (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) _inst_3))))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_4)))) _inst_5] (p : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_4))))), ConvexOn.{0, u2, 0} Real E Real Real.orderedSemiring (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) Real.orderedAddCommMonoid _inst_5 (Algebra.toSMul.{0, 0} Real Real Real.instCommSemiringReal Real.semiring (NormedAlgebra.toAlgebra.{0, 0} Real Real Real.normedField (SeminormedCommRing.toSeminormedRing.{0} Real (NormedCommRing.toSeminormedCommRing.{0} Real Real.normedCommRing)) (NormedAlgebra.id.{0} Real Real.normedField))) (Set.univ.{u2} E) (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_4))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_4))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_4))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_4))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_4)))) (Seminorm.seminormClass.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_4)))))))) p)
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : NormedSpace.{0, u1} Real 𝕜 Real.normedField (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))] [_inst_4 : Module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] [_inst_5 : SMul.{0, u2} Real E] [_inst_6 : IsScalarTower.{0, u1, u2} Real 𝕜 E (SMulZeroClass.toSMul.{0, u1} Real 𝕜 (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (SMulWithZero.toSMulZeroClass.{0, u1} Real 𝕜 Real.instZeroReal (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (MulActionWithZero.toSMulWithZero.{0, u1} Real 𝕜 Real.instMonoidWithZeroReal (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (Module.toMulActionWithZero.{0, u1} Real 𝕜 Real.semiring (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))))) (NormedSpace.toModule.{0, u1} Real 𝕜 Real.normedField (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) _inst_3))))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_4)))) _inst_5] (p : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_4))))), ConvexOn.{0, u2, 0} Real E Real Real.orderedSemiring (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) Real.orderedAddCommMonoid _inst_5 (Algebra.toSMul.{0, 0} Real Real Real.instCommSemiringReal Real.semiring (NormedAlgebra.toAlgebra.{0, 0} Real Real Real.normedField (SeminormedCommRing.toSeminormedRing.{0} Real (NormedCommRing.toSeminormedCommRing.{0} Real Real.normedCommRing)) (NormedAlgebra.id.{0} Real Real.normedField))) (Set.univ.{u2} E) (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_4))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_4))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_4))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_4))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_4)))) (Seminorm.instSeminormClass.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_4)))))))) p)
 Case conversion may be inaccurate. Consider using '#align seminorm.convex_on Seminorm.convexOnₓ'. -/
 /-- A seminorm is convex. Also see `convex_on_norm`. -/
 protected theorem convexOn : ConvexOn ℝ univ p :=
@@ -1750,7 +1750,7 @@ protected def restrictScalars (p : Seminorm 𝕜' E) : Seminorm 𝕜 E :=
 lean 3 declaration is
   forall (𝕜 : Type.{u1}) {E : Type.{u2}} {𝕜' : Type.{u3}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : SeminormedRing.{u3} 𝕜'] [_inst_3 : NormedAlgebra.{u1, u3} 𝕜 𝕜' _inst_1 _inst_2] [_inst_4 : NormOneClass.{u3} 𝕜' (SeminormedRing.toHasNorm.{u3} 𝕜' _inst_2) (AddMonoidWithOne.toOne.{u3} 𝕜' (AddGroupWithOne.toAddMonoidWithOne.{u3} 𝕜' (AddCommGroupWithOne.toAddGroupWithOne.{u3} 𝕜' (Ring.toAddCommGroupWithOne.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))))] [_inst_5 : AddCommGroup.{u2} E] [_inst_6 : Module.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)] [_inst_7 : SMul.{u1, u2} 𝕜 E] [_inst_8 : IsScalarTower.{u1, u3, u2} 𝕜 𝕜' E (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 𝕜' (AddZeroClass.toHasZero.{u3} 𝕜' (AddMonoid.toAddZeroClass.{u3} 𝕜' (AddCommMonoid.toAddMonoid.{u3} 𝕜' (AddCommGroup.toAddCommMonoid.{u3} 𝕜' (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜' (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜' (SeminormedRing.toNonUnitalSeminormedRing.{u3} 𝕜' _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 𝕜' (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u3} 𝕜' (AddMonoid.toAddZeroClass.{u3} 𝕜' (AddCommMonoid.toAddMonoid.{u3} 𝕜' (AddCommGroup.toAddCommMonoid.{u3} 𝕜' (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜' (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜' (SeminormedRing.toNonUnitalSeminormedRing.{u3} 𝕜' _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 𝕜' (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u3} 𝕜' (AddMonoid.toAddZeroClass.{u3} 𝕜' (AddCommMonoid.toAddMonoid.{u3} 𝕜' (AddCommGroup.toAddCommMonoid.{u3} 𝕜' (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜' (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜' (SeminormedRing.toNonUnitalSeminormedRing.{u3} 𝕜' _inst_2))))))) (Module.toMulActionWithZero.{u1, u3} 𝕜 𝕜' (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u3} 𝕜' (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜' (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜' (SeminormedRing.toNonUnitalSeminormedRing.{u3} 𝕜' _inst_2)))) (NormedSpace.toModule.{u1, u3} 𝕜 𝕜' _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜' (SeminormedRing.toNonUnitalSeminormedRing.{u3} 𝕜' _inst_2)) (NormedAlgebra.toNormedSpace.{u1, u3} 𝕜 𝕜' _inst_1 _inst_2 _inst_3)))))) (SMulZeroClass.toHasSmul.{u3, u2} 𝕜' E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)))) (SMulWithZero.toSmulZeroClass.{u3, u2} 𝕜' E (MulZeroClass.toHasZero.{u3} 𝕜' (MulZeroOneClass.toMulZeroClass.{u3} 𝕜' (MonoidWithZero.toMulZeroOneClass.{u3} 𝕜' (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜' E (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)))) (Module.toMulActionWithZero.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5) _inst_6)))) _inst_7] (p : Seminorm.{u3, u2} 𝕜' E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_5) (SMulZeroClass.toHasSmul.{u3, u2} 𝕜' E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)))) (SMulWithZero.toSmulZeroClass.{u3, u2} 𝕜' E (MulZeroClass.toHasZero.{u3} 𝕜' (MulZeroOneClass.toMulZeroClass.{u3} 𝕜' (MonoidWithZero.toMulZeroOneClass.{u3} 𝕜' (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜' E (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)))) (Module.toMulActionWithZero.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5) _inst_6))))), Eq.{succ u2} ((fun (_x : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_5) _inst_7) => E -> Real) (Seminorm.restrictScalars.{u1, u2, u3} 𝕜 E 𝕜' _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 p)) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_5) _inst_7) (fun (_x : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_5) _inst_7) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_5) _inst_7) (Seminorm.restrictScalars.{u1, u2, u3} 𝕜 E 𝕜' _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 p)) (coeFn.{succ u2, succ u2} (Seminorm.{u3, u2} 𝕜' E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_5) (SMulZeroClass.toHasSmul.{u3, u2} 𝕜' E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)))) (SMulWithZero.toSmulZeroClass.{u3, u2} 𝕜' E (MulZeroClass.toHasZero.{u3} 𝕜' (MulZeroOneClass.toMulZeroClass.{u3} 𝕜' (MonoidWithZero.toMulZeroOneClass.{u3} 𝕜' (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜' E (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)))) (Module.toMulActionWithZero.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5) _inst_6))))) (fun (_x : Seminorm.{u3, u2} 𝕜' E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_5) (SMulZeroClass.toHasSmul.{u3, u2} 𝕜' E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)))) (SMulWithZero.toSmulZeroClass.{u3, u2} 𝕜' E (MulZeroClass.toHasZero.{u3} 𝕜' (MulZeroOneClass.toMulZeroClass.{u3} 𝕜' (MonoidWithZero.toMulZeroOneClass.{u3} 𝕜' (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜' E (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)))) (Module.toMulActionWithZero.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5) _inst_6))))) => E -> Real) (Seminorm.hasCoeToFun.{u3, u2} 𝕜' E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_5) (SMulZeroClass.toHasSmul.{u3, u2} 𝕜' E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)))) (SMulWithZero.toSmulZeroClass.{u3, u2} 𝕜' E (MulZeroClass.toHasZero.{u3} 𝕜' (MulZeroOneClass.toMulZeroClass.{u3} 𝕜' (MonoidWithZero.toMulZeroOneClass.{u3} 𝕜' (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜' E (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)))) (Module.toMulActionWithZero.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5) _inst_6))))) p)
 but is expected to have type
-  forall (𝕜 : Type.{u1}) {E : Type.{u2}} {𝕜' : Type.{u3}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : SeminormedRing.{u3} 𝕜'] [_inst_3 : NormedAlgebra.{u1, u3} 𝕜 𝕜' _inst_1 _inst_2] [_inst_4 : NormOneClass.{u3} 𝕜' (SeminormedRing.toNorm.{u3} 𝕜' _inst_2) (NonAssocRing.toOne.{u3} 𝕜' (Ring.toNonAssocRing.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))] [_inst_5 : AddCommGroup.{u2} E] [_inst_6 : Module.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)] [_inst_7 : SMul.{u1, u2} 𝕜 E] [_inst_8 : IsScalarTower.{u1, u3, u2} 𝕜 𝕜' E (Algebra.toSMul.{u1, u3} 𝕜 𝕜' (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))) (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (NormedAlgebra.toAlgebra.{u1, u3} 𝕜 𝕜' _inst_1 _inst_2 _inst_3)) (SMulZeroClass.toSMul.{u3, u2} 𝕜' E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜' E (MonoidWithZero.toZero.{u3} 𝕜' (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜' E (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (Module.toMulActionWithZero.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5) _inst_6)))) _inst_7] (p : Seminorm.{u3, u2} 𝕜' E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_5) (SMulZeroClass.toSMul.{u3, u2} 𝕜' E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜' E (MonoidWithZero.toZero.{u3} 𝕜' (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜' E (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (Module.toMulActionWithZero.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5) _inst_6))))), Eq.{succ u2} (forall (a : E), (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) a) (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_5) _inst_7) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_5) _inst_7) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_5))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_5) _inst_7) E Real (AddCommGroup.toAddGroup.{u2} E _inst_5) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_5) _inst_7) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_5) _inst_7 (Seminorm.seminormClass.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_5) _inst_7)))) (Seminorm.restrictScalars.{u1, u2, u3} 𝕜 E 𝕜' _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 p)) (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u3, u2} 𝕜' E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_5) (SMulZeroClass.toSMul.{u3, u2} 𝕜' E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜' E (MonoidWithZero.toZero.{u3} 𝕜' (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜' E (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (Module.toMulActionWithZero.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5) _inst_6))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u3, u2} 𝕜' E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_5) (SMulZeroClass.toSMul.{u3, u2} 𝕜' E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜' E (MonoidWithZero.toZero.{u3} 𝕜' (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜' E (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (Module.toMulActionWithZero.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5) _inst_6))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_5))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u3, u2} 𝕜' E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_5) (SMulZeroClass.toSMul.{u3, u2} 𝕜' E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜' E (MonoidWithZero.toZero.{u3} 𝕜' (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜' E (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (Module.toMulActionWithZero.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5) _inst_6))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_5) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u3, u2} (Seminorm.{u3, u2} 𝕜' E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_5) (SMulZeroClass.toSMul.{u3, u2} 𝕜' E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜' E (MonoidWithZero.toZero.{u3} 𝕜' (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜' E (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (Module.toMulActionWithZero.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5) _inst_6))))) 𝕜' E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_5) (SMulZeroClass.toSMul.{u3, u2} 𝕜' E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜' E (MonoidWithZero.toZero.{u3} 𝕜' (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜' E (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (Module.toMulActionWithZero.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5) _inst_6)))) (Seminorm.seminormClass.{u3, u2} 𝕜' E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_5) (SMulZeroClass.toSMul.{u3, u2} 𝕜' E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜' E (MonoidWithZero.toZero.{u3} 𝕜' (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜' E (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (Module.toMulActionWithZero.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5) _inst_6)))))))) p)
+  forall (𝕜 : Type.{u1}) {E : Type.{u2}} {𝕜' : Type.{u3}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : SeminormedRing.{u3} 𝕜'] [_inst_3 : NormedAlgebra.{u1, u3} 𝕜 𝕜' _inst_1 _inst_2] [_inst_4 : NormOneClass.{u3} 𝕜' (SeminormedRing.toNorm.{u3} 𝕜' _inst_2) (NonAssocRing.toOne.{u3} 𝕜' (Ring.toNonAssocRing.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))] [_inst_5 : AddCommGroup.{u2} E] [_inst_6 : Module.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)] [_inst_7 : SMul.{u1, u2} 𝕜 E] [_inst_8 : IsScalarTower.{u1, u3, u2} 𝕜 𝕜' E (Algebra.toSMul.{u1, u3} 𝕜 𝕜' (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))) (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (NormedAlgebra.toAlgebra.{u1, u3} 𝕜 𝕜' _inst_1 _inst_2 _inst_3)) (SMulZeroClass.toSMul.{u3, u2} 𝕜' E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜' E (MonoidWithZero.toZero.{u3} 𝕜' (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜' E (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (Module.toMulActionWithZero.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5) _inst_6)))) _inst_7] (p : Seminorm.{u3, u2} 𝕜' E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_5) (SMulZeroClass.toSMul.{u3, u2} 𝕜' E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜' E (MonoidWithZero.toZero.{u3} 𝕜' (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜' E (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (Module.toMulActionWithZero.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5) _inst_6))))), Eq.{succ u2} (forall (a : E), (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) a) (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_5) _inst_7) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_5) _inst_7) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_5))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_5) _inst_7) E Real (AddCommGroup.toAddGroup.{u2} E _inst_5) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_5) _inst_7) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_5) _inst_7 (Seminorm.instSeminormClass.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_5) _inst_7)))) (Seminorm.restrictScalars.{u1, u2, u3} 𝕜 E 𝕜' _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 p)) (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u3, u2} 𝕜' E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_5) (SMulZeroClass.toSMul.{u3, u2} 𝕜' E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜' E (MonoidWithZero.toZero.{u3} 𝕜' (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜' E (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (Module.toMulActionWithZero.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5) _inst_6))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u3, u2} 𝕜' E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_5) (SMulZeroClass.toSMul.{u3, u2} 𝕜' E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜' E (MonoidWithZero.toZero.{u3} 𝕜' (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜' E (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (Module.toMulActionWithZero.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5) _inst_6))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_5))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u3, u2} 𝕜' E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_5) (SMulZeroClass.toSMul.{u3, u2} 𝕜' E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜' E (MonoidWithZero.toZero.{u3} 𝕜' (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜' E (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (Module.toMulActionWithZero.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5) _inst_6))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_5) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u3, u2} (Seminorm.{u3, u2} 𝕜' E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_5) (SMulZeroClass.toSMul.{u3, u2} 𝕜' E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜' E (MonoidWithZero.toZero.{u3} 𝕜' (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜' E (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (Module.toMulActionWithZero.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5) _inst_6))))) 𝕜' E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_5) (SMulZeroClass.toSMul.{u3, u2} 𝕜' E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜' E (MonoidWithZero.toZero.{u3} 𝕜' (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜' E (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (Module.toMulActionWithZero.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5) _inst_6)))) (Seminorm.instSeminormClass.{u3, u2} 𝕜' E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_5) (SMulZeroClass.toSMul.{u3, u2} 𝕜' E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜' E (MonoidWithZero.toZero.{u3} 𝕜' (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜' E (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (Module.toMulActionWithZero.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5) _inst_6)))))))) p)
 Case conversion may be inaccurate. Consider using '#align seminorm.coe_restrict_scalars Seminorm.coe_restrictScalarsₓ'. -/
 @[simp]
 theorem coe_restrictScalars (p : Seminorm 𝕜' E) : (p.restrictScalars 𝕜 : E → ℝ) = p :=
@@ -1795,7 +1795,7 @@ variable [Module 𝕝 E]
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_3 : AddCommGroup.{u2} E] [_inst_4 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)] [_inst_6 : TopologicalSpace.{u2} E] [_inst_7 : ContinuousConstSMul.{u1, u2} 𝕜 E _inst_6 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))] {p : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))} {r : Real}, (LT.lt.{0} Real Real.hasLt (OfNat.ofNat.{0} Real 0 (OfNat.mk.{0} Real 0 (Zero.zero.{0} Real Real.hasZero))) r) -> (Membership.Mem.{u2, u2} (Set.{u2} E) (Filter.{u2} E) (Filter.hasMem.{u2} E) (Seminorm.closedBall.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) _inst_3 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4)))) p (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_3)))))))) r) (nhds.{u2} E _inst_6 (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_3)))))))))) -> (ContinuousAt.{u2, 0} E Real _inst_6 (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) (fun (_x : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) p) (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_3)))))))))
 but is expected to have type
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_3 : AddCommGroup.{u2} E] [_inst_4 : Module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)] [_inst_6 : TopologicalSpace.{u2} E] [_inst_7 : ContinuousConstSMul.{u1, u2} 𝕜 E _inst_6 (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))] {p : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))} {r : Real}, (LT.lt.{0} Real Real.instLTReal (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) r) -> (Membership.mem.{u2, u2} (Set.{u2} E) (Filter.{u2} E) (instMembershipSetFilter.{u2} E) (Seminorm.closedBall.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) _inst_3 (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4)))) p (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))))) r) (nhds.{u2} E _inst_6 (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))))))) -> (ContinuousAt.{u2, 0} E Real _inst_6 (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_3))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_3) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4)))) (Seminorm.seminormClass.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4)))))))) p) (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))))))
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_3 : AddCommGroup.{u2} E] [_inst_4 : Module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)] [_inst_6 : TopologicalSpace.{u2} E] [_inst_7 : ContinuousConstSMul.{u1, u2} 𝕜 E _inst_6 (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))] {p : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))} {r : Real}, (LT.lt.{0} Real Real.instLTReal (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) r) -> (Membership.mem.{u2, u2} (Set.{u2} E) (Filter.{u2} E) (instMembershipSetFilter.{u2} E) (Seminorm.closedBall.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) _inst_3 (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4)))) p (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))))) r) (nhds.{u2} E _inst_6 (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))))))) -> (ContinuousAt.{u2, 0} E Real _inst_6 (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_3))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_3) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4)))) (Seminorm.instSeminormClass.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4)))))))) p) (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))))))
 Case conversion may be inaccurate. Consider using '#align seminorm.continuous_at_zero' Seminorm.continuousAt_zero'ₓ'. -/
 theorem continuousAt_zero' [TopologicalSpace E] [ContinuousConstSMul 𝕜 E] {p : Seminorm 𝕜 E} {r : ℝ}
     (hr : 0 < r) (hp : p.closedBall 0 r ∈ (𝓝 0 : Filter E)) : ContinuousAt p 0 :=
@@ -1817,7 +1817,7 @@ theorem continuousAt_zero' [TopologicalSpace E] [ContinuousConstSMul 𝕜 E] {p
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_3 : AddCommGroup.{u2} E] [_inst_4 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)] [_inst_6 : TopologicalSpace.{u2} E] [_inst_7 : ContinuousConstSMul.{u1, u2} 𝕜 E _inst_6 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))] {p : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))} {r : Real}, (LT.lt.{0} Real Real.hasLt (OfNat.ofNat.{0} Real 0 (OfNat.mk.{0} Real 0 (Zero.zero.{0} Real Real.hasZero))) r) -> (Membership.Mem.{u2, u2} (Set.{u2} E) (Filter.{u2} E) (Filter.hasMem.{u2} E) (Seminorm.ball.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) _inst_3 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4)))) p (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_3)))))))) r) (nhds.{u2} E _inst_6 (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_3)))))))))) -> (ContinuousAt.{u2, 0} E Real _inst_6 (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) (fun (_x : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) p) (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_3)))))))))
 but is expected to have type
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_3 : AddCommGroup.{u2} E] [_inst_4 : Module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)] [_inst_6 : TopologicalSpace.{u2} E] [_inst_7 : ContinuousConstSMul.{u1, u2} 𝕜 E _inst_6 (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))] {p : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))} {r : Real}, (LT.lt.{0} Real Real.instLTReal (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) r) -> (Membership.mem.{u2, u2} (Set.{u2} E) (Filter.{u2} E) (instMembershipSetFilter.{u2} E) (Seminorm.ball.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) _inst_3 (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4)))) p (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))))) r) (nhds.{u2} E _inst_6 (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))))))) -> (ContinuousAt.{u2, 0} E Real _inst_6 (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_3))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_3) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4)))) (Seminorm.seminormClass.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4)))))))) p) (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))))))
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_3 : AddCommGroup.{u2} E] [_inst_4 : Module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)] [_inst_6 : TopologicalSpace.{u2} E] [_inst_7 : ContinuousConstSMul.{u1, u2} 𝕜 E _inst_6 (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))] {p : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))} {r : Real}, (LT.lt.{0} Real Real.instLTReal (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) r) -> (Membership.mem.{u2, u2} (Set.{u2} E) (Filter.{u2} E) (instMembershipSetFilter.{u2} E) (Seminorm.ball.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) _inst_3 (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4)))) p (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))))) r) (nhds.{u2} E _inst_6 (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))))))) -> (ContinuousAt.{u2, 0} E Real _inst_6 (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_3))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_3) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4)))) (Seminorm.instSeminormClass.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4)))))))) p) (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))))))
 Case conversion may be inaccurate. Consider using '#align seminorm.continuous_at_zero Seminorm.continuousAt_zeroₓ'. -/
 theorem continuousAt_zero [TopologicalSpace E] [ContinuousConstSMul 𝕜 E] {p : Seminorm 𝕜 E} {r : ℝ}
     (hr : 0 < r) (hp : p.ball 0 r ∈ (𝓝 0 : Filter E)) : ContinuousAt p 0 :=
@@ -1828,7 +1828,7 @@ theorem continuousAt_zero [TopologicalSpace E] [ContinuousConstSMul 𝕜 E] {p :
 lean 3 declaration is
   forall {𝕝 : Type.{u1}} {E : Type.{u2}} [_inst_2 : SeminormedRing.{u1} 𝕝] [_inst_3 : AddCommGroup.{u2} E] [_inst_5 : Module.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)] [_inst_6 : UniformSpace.{u2} E] [_inst_7 : UniformAddGroup.{u2} E _inst_6 (AddCommGroup.toAddGroup.{u2} E _inst_3)] {p : Seminorm.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕝 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕝 E (MulZeroClass.toHasZero.{u1} 𝕝 (MulZeroOneClass.toMulZeroClass.{u1} 𝕝 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))}, (ContinuousAt.{u2, 0} E Real (UniformSpace.toTopologicalSpace.{u2} E _inst_6) (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕝 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕝 E (MulZeroClass.toHasZero.{u1} 𝕝 (MulZeroOneClass.toMulZeroClass.{u1} 𝕝 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))) (fun (_x : Seminorm.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕝 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕝 E (MulZeroClass.toHasZero.{u1} 𝕝 (MulZeroOneClass.toMulZeroClass.{u1} 𝕝 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕝 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕝 E (MulZeroClass.toHasZero.{u1} 𝕝 (MulZeroOneClass.toMulZeroClass.{u1} 𝕝 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))) p) (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_3))))))))) -> (UniformContinuous.{u2, 0} E Real _inst_6 (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕝 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕝 E (MulZeroClass.toHasZero.{u1} 𝕝 (MulZeroOneClass.toMulZeroClass.{u1} 𝕝 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))) (fun (_x : Seminorm.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕝 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕝 E (MulZeroClass.toHasZero.{u1} 𝕝 (MulZeroOneClass.toMulZeroClass.{u1} 𝕝 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕝 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕝 E (MulZeroClass.toHasZero.{u1} 𝕝 (MulZeroOneClass.toMulZeroClass.{u1} 𝕝 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))) p))
 but is expected to have type
-  forall {𝕝 : Type.{u1}} {E : Type.{u2}} [_inst_2 : SeminormedRing.{u1} 𝕝] [_inst_3 : AddCommGroup.{u2} E] [_inst_5 : Module.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)] [_inst_6 : UniformSpace.{u2} E] [_inst_7 : UniformAddGroup.{u2} E _inst_6 (AddCommGroup.toAddGroup.{u2} E _inst_3)] {p : Seminorm.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕝 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕝 E (MonoidWithZero.toZero.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))}, (ContinuousAt.{u2, 0} E Real (UniformSpace.toTopologicalSpace.{u2} E _inst_6) (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕝 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕝 E (MonoidWithZero.toZero.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕝 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕝 E (MonoidWithZero.toZero.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_3))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕝 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕝 E (MonoidWithZero.toZero.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_3) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕝 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕝 E (MonoidWithZero.toZero.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))) 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕝 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕝 E (MonoidWithZero.toZero.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5)))) (Seminorm.seminormClass.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕝 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕝 E (MonoidWithZero.toZero.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5)))))))) p) (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3)))))))) -> (UniformContinuous.{u2, 0} E Real _inst_6 (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace) (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕝 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕝 E (MonoidWithZero.toZero.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕝 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕝 E (MonoidWithZero.toZero.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_3))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕝 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕝 E (MonoidWithZero.toZero.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_3) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕝 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕝 E (MonoidWithZero.toZero.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))) 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕝 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕝 E (MonoidWithZero.toZero.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5)))) (Seminorm.seminormClass.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕝 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕝 E (MonoidWithZero.toZero.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5)))))))) p))
+  forall {𝕝 : Type.{u1}} {E : Type.{u2}} [_inst_2 : SeminormedRing.{u1} 𝕝] [_inst_3 : AddCommGroup.{u2} E] [_inst_5 : Module.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)] [_inst_6 : UniformSpace.{u2} E] [_inst_7 : UniformAddGroup.{u2} E _inst_6 (AddCommGroup.toAddGroup.{u2} E _inst_3)] {p : Seminorm.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕝 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕝 E (MonoidWithZero.toZero.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))}, (ContinuousAt.{u2, 0} E Real (UniformSpace.toTopologicalSpace.{u2} E _inst_6) (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕝 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕝 E (MonoidWithZero.toZero.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕝 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕝 E (MonoidWithZero.toZero.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_3))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕝 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕝 E (MonoidWithZero.toZero.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_3) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕝 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕝 E (MonoidWithZero.toZero.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))) 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕝 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕝 E (MonoidWithZero.toZero.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5)))) (Seminorm.instSeminormClass.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕝 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕝 E (MonoidWithZero.toZero.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5)))))))) p) (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3)))))))) -> (UniformContinuous.{u2, 0} E Real _inst_6 (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace) (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕝 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕝 E (MonoidWithZero.toZero.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕝 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕝 E (MonoidWithZero.toZero.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_3))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕝 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕝 E (MonoidWithZero.toZero.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_3) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕝 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕝 E (MonoidWithZero.toZero.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))) 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕝 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕝 E (MonoidWithZero.toZero.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5)))) (Seminorm.instSeminormClass.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕝 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕝 E (MonoidWithZero.toZero.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5)))))))) p))
 Case conversion may be inaccurate. Consider using '#align seminorm.uniform_continuous_of_continuous_at_zero Seminorm.uniformContinuous_of_continuousAt_zeroₓ'. -/
 protected theorem uniformContinuous_of_continuousAt_zero [UniformSpace E] [UniformAddGroup E]
     {p : Seminorm 𝕝 E} (hp : ContinuousAt p 0) : UniformContinuous p :=
@@ -1845,7 +1845,7 @@ protected theorem uniformContinuous_of_continuousAt_zero [UniformSpace E] [Unifo
 lean 3 declaration is
   forall {𝕝 : Type.{u1}} {E : Type.{u2}} [_inst_2 : SeminormedRing.{u1} 𝕝] [_inst_3 : AddCommGroup.{u2} E] [_inst_5 : Module.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)] [_inst_6 : TopologicalSpace.{u2} E] [_inst_7 : TopologicalAddGroup.{u2} E _inst_6 (AddCommGroup.toAddGroup.{u2} E _inst_3)] {p : Seminorm.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕝 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕝 E (MulZeroClass.toHasZero.{u1} 𝕝 (MulZeroOneClass.toMulZeroClass.{u1} 𝕝 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))}, (ContinuousAt.{u2, 0} E Real _inst_6 (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕝 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕝 E (MulZeroClass.toHasZero.{u1} 𝕝 (MulZeroOneClass.toMulZeroClass.{u1} 𝕝 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))) (fun (_x : Seminorm.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕝 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕝 E (MulZeroClass.toHasZero.{u1} 𝕝 (MulZeroOneClass.toMulZeroClass.{u1} 𝕝 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕝 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕝 E (MulZeroClass.toHasZero.{u1} 𝕝 (MulZeroOneClass.toMulZeroClass.{u1} 𝕝 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))) p) (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_3))))))))) -> (Continuous.{u2, 0} E Real _inst_6 (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕝 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕝 E (MulZeroClass.toHasZero.{u1} 𝕝 (MulZeroOneClass.toMulZeroClass.{u1} 𝕝 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))) (fun (_x : Seminorm.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕝 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕝 E (MulZeroClass.toHasZero.{u1} 𝕝 (MulZeroOneClass.toMulZeroClass.{u1} 𝕝 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕝 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕝 E (MulZeroClass.toHasZero.{u1} 𝕝 (MulZeroOneClass.toMulZeroClass.{u1} 𝕝 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))) p))
 but is expected to have type
-  forall {𝕝 : Type.{u1}} {E : Type.{u2}} [_inst_2 : SeminormedRing.{u1} 𝕝] [_inst_3 : AddCommGroup.{u2} E] [_inst_5 : Module.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)] [_inst_6 : TopologicalSpace.{u2} E] [_inst_7 : TopologicalAddGroup.{u2} E _inst_6 (AddCommGroup.toAddGroup.{u2} E _inst_3)] {p : Seminorm.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕝 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕝 E (MonoidWithZero.toZero.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))}, (ContinuousAt.{u2, 0} E Real _inst_6 (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕝 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕝 E (MonoidWithZero.toZero.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕝 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕝 E (MonoidWithZero.toZero.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_3))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕝 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕝 E (MonoidWithZero.toZero.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_3) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕝 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕝 E (MonoidWithZero.toZero.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))) 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕝 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕝 E (MonoidWithZero.toZero.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5)))) (Seminorm.seminormClass.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕝 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕝 E (MonoidWithZero.toZero.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5)))))))) p) (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3)))))))) -> (Continuous.{u2, 0} E Real _inst_6 (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕝 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕝 E (MonoidWithZero.toZero.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕝 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕝 E (MonoidWithZero.toZero.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_3))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕝 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕝 E (MonoidWithZero.toZero.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_3) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕝 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕝 E (MonoidWithZero.toZero.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))) 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕝 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕝 E (MonoidWithZero.toZero.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5)))) (Seminorm.seminormClass.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕝 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕝 E (MonoidWithZero.toZero.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5)))))))) p))
+  forall {𝕝 : Type.{u1}} {E : Type.{u2}} [_inst_2 : SeminormedRing.{u1} 𝕝] [_inst_3 : AddCommGroup.{u2} E] [_inst_5 : Module.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)] [_inst_6 : TopologicalSpace.{u2} E] [_inst_7 : TopologicalAddGroup.{u2} E _inst_6 (AddCommGroup.toAddGroup.{u2} E _inst_3)] {p : Seminorm.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕝 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕝 E (MonoidWithZero.toZero.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))}, (ContinuousAt.{u2, 0} E Real _inst_6 (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕝 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕝 E (MonoidWithZero.toZero.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕝 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕝 E (MonoidWithZero.toZero.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_3))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕝 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕝 E (MonoidWithZero.toZero.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_3) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕝 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕝 E (MonoidWithZero.toZero.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))) 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕝 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕝 E (MonoidWithZero.toZero.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5)))) (Seminorm.instSeminormClass.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕝 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕝 E (MonoidWithZero.toZero.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5)))))))) p) (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3)))))))) -> (Continuous.{u2, 0} E Real _inst_6 (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕝 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕝 E (MonoidWithZero.toZero.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕝 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕝 E (MonoidWithZero.toZero.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_3))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕝 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕝 E (MonoidWithZero.toZero.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_3) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕝 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕝 E (MonoidWithZero.toZero.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))) 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕝 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕝 E (MonoidWithZero.toZero.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5)))) (Seminorm.instSeminormClass.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕝 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕝 E (MonoidWithZero.toZero.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5)))))))) p))
 Case conversion may be inaccurate. Consider using '#align seminorm.continuous_of_continuous_at_zero Seminorm.continuous_of_continuousAt_zeroₓ'. -/
 protected theorem continuous_of_continuousAt_zero [TopologicalSpace E] [TopologicalAddGroup E]
     {p : Seminorm 𝕝 E} (hp : ContinuousAt p 0) : Continuous p :=
@@ -1859,7 +1859,7 @@ protected theorem continuous_of_continuousAt_zero [TopologicalSpace E] [Topologi
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_3 : AddCommGroup.{u2} E] [_inst_4 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)] [_inst_6 : UniformSpace.{u2} E] [_inst_7 : UniformAddGroup.{u2} E _inst_6 (AddCommGroup.toAddGroup.{u2} E _inst_3)] [_inst_8 : ContinuousConstSMul.{u1, u2} 𝕜 E (UniformSpace.toTopologicalSpace.{u2} E _inst_6) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))] {p : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))} {r : Real}, (LT.lt.{0} Real Real.hasLt (OfNat.ofNat.{0} Real 0 (OfNat.mk.{0} Real 0 (Zero.zero.{0} Real Real.hasZero))) r) -> (Membership.Mem.{u2, u2} (Set.{u2} E) (Filter.{u2} E) (Filter.hasMem.{u2} E) (Seminorm.ball.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) _inst_3 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4)))) p (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_3)))))))) r) (nhds.{u2} E (UniformSpace.toTopologicalSpace.{u2} E _inst_6) (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_3)))))))))) -> (UniformContinuous.{u2, 0} E Real _inst_6 (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) (fun (_x : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) p))
 but is expected to have type
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_3 : AddCommGroup.{u2} E] [_inst_4 : Module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)] [_inst_6 : UniformSpace.{u2} E] [_inst_7 : UniformAddGroup.{u2} E _inst_6 (AddCommGroup.toAddGroup.{u2} E _inst_3)] [_inst_8 : ContinuousConstSMul.{u1, u2} 𝕜 E (UniformSpace.toTopologicalSpace.{u2} E _inst_6) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))] {p : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))} {r : Real}, (LT.lt.{0} Real Real.instLTReal (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) r) -> (Membership.mem.{u2, u2} (Set.{u2} E) (Filter.{u2} E) (instMembershipSetFilter.{u2} E) (Seminorm.ball.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) _inst_3 (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4)))) p (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))))) r) (nhds.{u2} E (UniformSpace.toTopologicalSpace.{u2} E _inst_6) (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))))))) -> (UniformContinuous.{u2, 0} E Real _inst_6 (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace) (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_3))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_3) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4)))) (Seminorm.seminormClass.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4)))))))) p))
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_3 : AddCommGroup.{u2} E] [_inst_4 : Module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)] [_inst_6 : UniformSpace.{u2} E] [_inst_7 : UniformAddGroup.{u2} E _inst_6 (AddCommGroup.toAddGroup.{u2} E _inst_3)] [_inst_8 : ContinuousConstSMul.{u1, u2} 𝕜 E (UniformSpace.toTopologicalSpace.{u2} E _inst_6) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))] {p : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))} {r : Real}, (LT.lt.{0} Real Real.instLTReal (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) r) -> (Membership.mem.{u2, u2} (Set.{u2} E) (Filter.{u2} E) (instMembershipSetFilter.{u2} E) (Seminorm.ball.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) _inst_3 (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4)))) p (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))))) r) (nhds.{u2} E (UniformSpace.toTopologicalSpace.{u2} E _inst_6) (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))))))) -> (UniformContinuous.{u2, 0} E Real _inst_6 (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace) (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_3))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_3) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4)))) (Seminorm.instSeminormClass.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4)))))))) p))
 Case conversion may be inaccurate. Consider using '#align seminorm.uniform_continuous Seminorm.uniformContinuousₓ'. -/
 protected theorem uniformContinuous [UniformSpace E] [UniformAddGroup E] [ContinuousConstSMul 𝕜 E]
     {p : Seminorm 𝕜 E} {r : ℝ} (hr : 0 < r) (hp : p.ball 0 r ∈ (𝓝 0 : Filter E)) :
@@ -1871,7 +1871,7 @@ protected theorem uniformContinuous [UniformSpace E] [UniformAddGroup E] [Contin
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_3 : AddCommGroup.{u2} E] [_inst_4 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)] [_inst_6 : UniformSpace.{u2} E] [_inst_7 : UniformAddGroup.{u2} E _inst_6 (AddCommGroup.toAddGroup.{u2} E _inst_3)] [_inst_8 : ContinuousConstSMul.{u1, u2} 𝕜 E (UniformSpace.toTopologicalSpace.{u2} E _inst_6) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))] {p : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))} {r : Real}, (LT.lt.{0} Real Real.hasLt (OfNat.ofNat.{0} Real 0 (OfNat.mk.{0} Real 0 (Zero.zero.{0} Real Real.hasZero))) r) -> (Membership.Mem.{u2, u2} (Set.{u2} E) (Filter.{u2} E) (Filter.hasMem.{u2} E) (Seminorm.closedBall.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) _inst_3 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4)))) p (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_3)))))))) r) (nhds.{u2} E (UniformSpace.toTopologicalSpace.{u2} E _inst_6) (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_3)))))))))) -> (UniformContinuous.{u2, 0} E Real _inst_6 (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) (fun (_x : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) p))
 but is expected to have type
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_3 : AddCommGroup.{u2} E] [_inst_4 : Module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)] [_inst_6 : UniformSpace.{u2} E] [_inst_7 : UniformAddGroup.{u2} E _inst_6 (AddCommGroup.toAddGroup.{u2} E _inst_3)] [_inst_8 : ContinuousConstSMul.{u1, u2} 𝕜 E (UniformSpace.toTopologicalSpace.{u2} E _inst_6) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))] {p : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))} {r : Real}, (LT.lt.{0} Real Real.instLTReal (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) r) -> (Membership.mem.{u2, u2} (Set.{u2} E) (Filter.{u2} E) (instMembershipSetFilter.{u2} E) (Seminorm.closedBall.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) _inst_3 (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4)))) p (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))))) r) (nhds.{u2} E (UniformSpace.toTopologicalSpace.{u2} E _inst_6) (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))))))) -> (UniformContinuous.{u2, 0} E Real _inst_6 (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace) (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_3))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_3) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4)))) (Seminorm.seminormClass.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4)))))))) p))
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_3 : AddCommGroup.{u2} E] [_inst_4 : Module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)] [_inst_6 : UniformSpace.{u2} E] [_inst_7 : UniformAddGroup.{u2} E _inst_6 (AddCommGroup.toAddGroup.{u2} E _inst_3)] [_inst_8 : ContinuousConstSMul.{u1, u2} 𝕜 E (UniformSpace.toTopologicalSpace.{u2} E _inst_6) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))] {p : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))} {r : Real}, (LT.lt.{0} Real Real.instLTReal (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) r) -> (Membership.mem.{u2, u2} (Set.{u2} E) (Filter.{u2} E) (instMembershipSetFilter.{u2} E) (Seminorm.closedBall.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) _inst_3 (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4)))) p (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))))) r) (nhds.{u2} E (UniformSpace.toTopologicalSpace.{u2} E _inst_6) (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))))))) -> (UniformContinuous.{u2, 0} E Real _inst_6 (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace) (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_3))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_3) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4)))) (Seminorm.instSeminormClass.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4)))))))) p))
 Case conversion may be inaccurate. Consider using '#align seminorm.uniform_continuous' Seminorm.uniform_continuous'ₓ'. -/
 protected theorem uniform_continuous' [UniformSpace E] [UniformAddGroup E] [ContinuousConstSMul 𝕜 E]
     {p : Seminorm 𝕜 E} {r : ℝ} (hr : 0 < r) (hp : p.closedBall 0 r ∈ (𝓝 0 : Filter E)) :
@@ -1883,7 +1883,7 @@ protected theorem uniform_continuous' [UniformSpace E] [UniformAddGroup E] [Cont
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_3 : AddCommGroup.{u2} E] [_inst_4 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)] [_inst_6 : TopologicalSpace.{u2} E] [_inst_7 : TopologicalAddGroup.{u2} E _inst_6 (AddCommGroup.toAddGroup.{u2} E _inst_3)] [_inst_8 : ContinuousConstSMul.{u1, u2} 𝕜 E _inst_6 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))] {p : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))} {r : Real}, (LT.lt.{0} Real Real.hasLt (OfNat.ofNat.{0} Real 0 (OfNat.mk.{0} Real 0 (Zero.zero.{0} Real Real.hasZero))) r) -> (Membership.Mem.{u2, u2} (Set.{u2} E) (Filter.{u2} E) (Filter.hasMem.{u2} E) (Seminorm.ball.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) _inst_3 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4)))) p (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_3)))))))) r) (nhds.{u2} E _inst_6 (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_3)))))))))) -> (Continuous.{u2, 0} E Real _inst_6 (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) (fun (_x : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) p))
 but is expected to have type
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_3 : AddCommGroup.{u2} E] [_inst_4 : Module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)] [_inst_6 : TopologicalSpace.{u2} E] [_inst_7 : TopologicalAddGroup.{u2} E _inst_6 (AddCommGroup.toAddGroup.{u2} E _inst_3)] [_inst_8 : ContinuousConstSMul.{u1, u2} 𝕜 E _inst_6 (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))] {p : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))} {r : Real}, (LT.lt.{0} Real Real.instLTReal (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) r) -> (Membership.mem.{u2, u2} (Set.{u2} E) (Filter.{u2} E) (instMembershipSetFilter.{u2} E) (Seminorm.ball.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) _inst_3 (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4)))) p (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))))) r) (nhds.{u2} E _inst_6 (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))))))) -> (Continuous.{u2, 0} E Real _inst_6 (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_3))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_3) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4)))) (Seminorm.seminormClass.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4)))))))) p))
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_3 : AddCommGroup.{u2} E] [_inst_4 : Module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)] [_inst_6 : TopologicalSpace.{u2} E] [_inst_7 : TopologicalAddGroup.{u2} E _inst_6 (AddCommGroup.toAddGroup.{u2} E _inst_3)] [_inst_8 : ContinuousConstSMul.{u1, u2} 𝕜 E _inst_6 (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))] {p : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))} {r : Real}, (LT.lt.{0} Real Real.instLTReal (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) r) -> (Membership.mem.{u2, u2} (Set.{u2} E) (Filter.{u2} E) (instMembershipSetFilter.{u2} E) (Seminorm.ball.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) _inst_3 (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4)))) p (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))))) r) (nhds.{u2} E _inst_6 (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))))))) -> (Continuous.{u2, 0} E Real _inst_6 (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_3))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_3) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4)))) (Seminorm.instSeminormClass.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4)))))))) p))
 Case conversion may be inaccurate. Consider using '#align seminorm.continuous Seminorm.continuousₓ'. -/
 protected theorem continuous [TopologicalSpace E] [TopologicalAddGroup E] [ContinuousConstSMul 𝕜 E]
     {p : Seminorm 𝕜 E} {r : ℝ} (hr : 0 < r) (hp : p.ball 0 r ∈ (𝓝 0 : Filter E)) : Continuous p :=
@@ -1894,7 +1894,7 @@ protected theorem continuous [TopologicalSpace E] [TopologicalAddGroup E] [Conti
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_3 : AddCommGroup.{u2} E] [_inst_4 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)] [_inst_6 : TopologicalSpace.{u2} E] [_inst_7 : TopologicalAddGroup.{u2} E _inst_6 (AddCommGroup.toAddGroup.{u2} E _inst_3)] [_inst_8 : ContinuousConstSMul.{u1, u2} 𝕜 E _inst_6 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))] {p : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))} {r : Real}, (LT.lt.{0} Real Real.hasLt (OfNat.ofNat.{0} Real 0 (OfNat.mk.{0} Real 0 (Zero.zero.{0} Real Real.hasZero))) r) -> (Membership.Mem.{u2, u2} (Set.{u2} E) (Filter.{u2} E) (Filter.hasMem.{u2} E) (Seminorm.closedBall.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) _inst_3 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4)))) p (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_3)))))))) r) (nhds.{u2} E _inst_6 (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_3)))))))))) -> (Continuous.{u2, 0} E Real _inst_6 (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) (fun (_x : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) p))
 but is expected to have type
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_3 : AddCommGroup.{u2} E] [_inst_4 : Module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)] [_inst_6 : TopologicalSpace.{u2} E] [_inst_7 : TopologicalAddGroup.{u2} E _inst_6 (AddCommGroup.toAddGroup.{u2} E _inst_3)] [_inst_8 : ContinuousConstSMul.{u1, u2} 𝕜 E _inst_6 (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))] {p : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))} {r : Real}, (LT.lt.{0} Real Real.instLTReal (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) r) -> (Membership.mem.{u2, u2} (Set.{u2} E) (Filter.{u2} E) (instMembershipSetFilter.{u2} E) (Seminorm.closedBall.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) _inst_3 (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4)))) p (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))))) r) (nhds.{u2} E _inst_6 (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))))))) -> (Continuous.{u2, 0} E Real _inst_6 (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_3))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_3) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4)))) (Seminorm.seminormClass.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4)))))))) p))
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_3 : AddCommGroup.{u2} E] [_inst_4 : Module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)] [_inst_6 : TopologicalSpace.{u2} E] [_inst_7 : TopologicalAddGroup.{u2} E _inst_6 (AddCommGroup.toAddGroup.{u2} E _inst_3)] [_inst_8 : ContinuousConstSMul.{u1, u2} 𝕜 E _inst_6 (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))] {p : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))} {r : Real}, (LT.lt.{0} Real Real.instLTReal (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) r) -> (Membership.mem.{u2, u2} (Set.{u2} E) (Filter.{u2} E) (instMembershipSetFilter.{u2} E) (Seminorm.closedBall.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) _inst_3 (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4)))) p (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))))) r) (nhds.{u2} E _inst_6 (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))))))) -> (Continuous.{u2, 0} E Real _inst_6 (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_3))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_3) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4)))) (Seminorm.instSeminormClass.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4)))))))) p))
 Case conversion may be inaccurate. Consider using '#align seminorm.continuous' Seminorm.continuous'ₓ'. -/
 protected theorem continuous' [TopologicalSpace E] [TopologicalAddGroup E] [ContinuousConstSMul 𝕜 E]
     {p : Seminorm 𝕜 E} {r : ℝ} (hr : 0 < r) (hp : p.closedBall 0 r ∈ (𝓝 0 : Filter E)) :
@@ -1906,7 +1906,7 @@ protected theorem continuous' [TopologicalSpace E] [TopologicalAddGroup E] [Cont
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_3 : AddCommGroup.{u2} E] [_inst_4 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)] [_inst_6 : TopologicalSpace.{u2} E] [_inst_7 : TopologicalAddGroup.{u2} E _inst_6 (AddCommGroup.toAddGroup.{u2} E _inst_3)] [_inst_8 : ContinuousConstSMul.{u1, u2} 𝕜 E _inst_6 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))] {p : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))} {q : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))}, (Continuous.{u2, 0} E Real _inst_6 (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) (fun (_x : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) q)) -> (LE.le.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) (Preorder.toLE.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) (PartialOrder.toPreorder.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) (Seminorm.partialOrder.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))))) p q) -> (Continuous.{u2, 0} E Real _inst_6 (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) (fun (_x : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) p))
 but is expected to have type
-  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_3 : AddCommGroup.{u2} E] [_inst_4 : Module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)] [_inst_6 : TopologicalSpace.{u2} E] [_inst_7 : TopologicalAddGroup.{u2} E _inst_6 (AddCommGroup.toAddGroup.{u2} E _inst_3)] [_inst_8 : ContinuousConstSMul.{u1, u2} 𝕜 E _inst_6 (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))] {p : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))} {q : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))}, (Continuous.{u2, 0} E Real _inst_6 (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_3))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_3) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4)))) (Seminorm.seminormClass.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4)))))))) q)) -> (LE.le.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) (Preorder.toLE.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) (PartialOrder.toPreorder.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) (Seminorm.instPartialOrderSeminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))))) p q) -> (Continuous.{u2, 0} E Real _inst_6 (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_3))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_3) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4)))) (Seminorm.seminormClass.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4)))))))) p))
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_3 : AddCommGroup.{u2} E] [_inst_4 : Module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)] [_inst_6 : TopologicalSpace.{u2} E] [_inst_7 : TopologicalAddGroup.{u2} E _inst_6 (AddCommGroup.toAddGroup.{u2} E _inst_3)] [_inst_8 : ContinuousConstSMul.{u1, u2} 𝕜 E _inst_6 (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))] {p : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))} {q : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))}, (Continuous.{u2, 0} E Real _inst_6 (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_3))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_3) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4)))) (Seminorm.instSeminormClass.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4)))))))) q)) -> (LE.le.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) (Preorder.toLE.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) (PartialOrder.toPreorder.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) (Seminorm.instPartialOrder.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))))) p q) -> (Continuous.{u2, 0} E Real _inst_6 (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_3))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_3) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4)))) (Seminorm.instSeminormClass.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4)))))))) p))
 Case conversion may be inaccurate. Consider using '#align seminorm.continuous_of_le Seminorm.continuous_of_leₓ'. -/
 theorem continuous_of_le [TopologicalSpace E] [TopologicalAddGroup E] [ContinuousConstSMul 𝕜 E]
     {p q : Seminorm 𝕜 E} (hq : Continuous q) (hpq : p ≤ q) : Continuous p :=
@@ -1941,7 +1941,7 @@ def normSeminorm : Seminorm 𝕜 E :=
 lean 3 declaration is
   forall (𝕜 : Type.{u1}) (E : Type.{u2}) [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : SeminormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2], Eq.{succ u2} (E -> Real) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (SeminormedAddGroup.toAddGroup.{u2} E (SeminormedAddCommGroup.toSeminormedAddGroup.{u2} E _inst_2)) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)))))) (fun (_x : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (SeminormedAddGroup.toAddGroup.{u2} E (SeminormedAddCommGroup.toSeminormedAddGroup.{u2} E _inst_2)) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (SeminormedAddGroup.toAddGroup.{u2} E (SeminormedAddCommGroup.toSeminormedAddGroup.{u2} E _inst_2)) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)))))) (normSeminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (Norm.norm.{u2} E (SeminormedAddCommGroup.toHasNorm.{u2} E _inst_2))
 but is expected to have type
-  forall (𝕜 : Type.{u1}) (E : Type.{u2}) [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : SeminormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2], Eq.{succ u2} (forall (ᾰ : E), (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) ᾰ) (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (SeminormedAddGroup.toAddGroup.{u2} E (SeminormedAddCommGroup.toSeminormedAddGroup.{u2} E _inst_2)) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (SeminormedAddGroup.toAddGroup.{u2} E (SeminormedAddCommGroup.toSeminormedAddGroup.{u2} E _inst_2)) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (SeminormedAddGroup.toAddGroup.{u2} E (SeminormedAddCommGroup.toSeminormedAddGroup.{u2} E _inst_2)))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (SeminormedAddGroup.toAddGroup.{u2} E (SeminormedAddCommGroup.toSeminormedAddGroup.{u2} E _inst_2)) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)))))) E Real (SeminormedAddGroup.toAddGroup.{u2} E (SeminormedAddCommGroup.toSeminormedAddGroup.{u2} E _inst_2)) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (SeminormedAddGroup.toAddGroup.{u2} E (SeminormedAddCommGroup.toSeminormedAddGroup.{u2} E _inst_2)) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (SeminormedAddGroup.toAddGroup.{u2} E (SeminormedAddCommGroup.toSeminormedAddGroup.{u2} E _inst_2)) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))))) (Seminorm.seminormClass.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (SeminormedAddGroup.toAddGroup.{u2} E (SeminormedAddCommGroup.toSeminormedAddGroup.{u2} E _inst_2)) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))))))))) (normSeminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (Norm.norm.{u2} E (SeminormedAddCommGroup.toNorm.{u2} E _inst_2))
+  forall (𝕜 : Type.{u1}) (E : Type.{u2}) [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : SeminormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2], Eq.{succ u2} (forall (ᾰ : E), (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) ᾰ) (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (SeminormedAddGroup.toAddGroup.{u2} E (SeminormedAddCommGroup.toSeminormedAddGroup.{u2} E _inst_2)) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (SeminormedAddGroup.toAddGroup.{u2} E (SeminormedAddCommGroup.toSeminormedAddGroup.{u2} E _inst_2)) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (SeminormedAddGroup.toAddGroup.{u2} E (SeminormedAddCommGroup.toSeminormedAddGroup.{u2} E _inst_2)))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (SeminormedAddGroup.toAddGroup.{u2} E (SeminormedAddCommGroup.toSeminormedAddGroup.{u2} E _inst_2)) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)))))) E Real (SeminormedAddGroup.toAddGroup.{u2} E (SeminormedAddCommGroup.toSeminormedAddGroup.{u2} E _inst_2)) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (SeminormedAddGroup.toAddGroup.{u2} E (SeminormedAddCommGroup.toSeminormedAddGroup.{u2} E _inst_2)) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (SeminormedAddGroup.toAddGroup.{u2} E (SeminormedAddCommGroup.toSeminormedAddGroup.{u2} E _inst_2)) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))))) (Seminorm.instSeminormClass.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (SeminormedAddGroup.toAddGroup.{u2} E (SeminormedAddCommGroup.toSeminormedAddGroup.{u2} E _inst_2)) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))))))))) (normSeminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (Norm.norm.{u2} E (SeminormedAddCommGroup.toNorm.{u2} E _inst_2))
 Case conversion may be inaccurate. Consider using '#align coe_norm_seminorm coe_normSeminormₓ'. -/
 @[simp]
 theorem coe_normSeminorm : ⇑(normSeminorm 𝕜 E) = norm :=

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

@@ -1658,7 +1658,7 @@ theorem neg_ball (p : Seminorm 𝕜 E) (r : ℝ) (x : E) : -ball p x r = ball p
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (p : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (y : E) (r : Real) (a : 𝕜), (Ne.{succ u1} 𝕜 a (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))))))) -> (Eq.{succ u2} (Set.{u2} E) (Set.preimage.{u2, u2} E E (SMul.smul.{u1, u2} 𝕜 E (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) a) (Seminorm.ball.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) p y r)) (Seminorm.ball.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) p (SMul.smul.{u1, u2} 𝕜 E (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Inv.inv.{u1} 𝕜 (DivInvMonoid.toHasInv.{u1} 𝕜 (DivisionRing.toDivInvMonoid.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 (NormedField.toNormedDivisionRing.{u1} 𝕜 _inst_1)))) a) y) (HDiv.hDiv.{0, 0, 0} Real Real Real (instHDiv.{0} Real (DivInvMonoid.toHasDiv.{0} Real (DivisionRing.toDivInvMonoid.{0} Real Real.divisionRing))) r (Norm.norm.{u1} 𝕜 (NormedField.toHasNorm.{u1} 𝕜 _inst_1) a))))
 but is expected to have type
-  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : NormedField.{u2} 𝕜] [_inst_2 : AddCommGroup.{u1} E] [_inst_3 : Module.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)] (p : Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) (y : E) (r : Real) (a : 𝕜), (Ne.{succ u2} 𝕜 a (OfNat.ofNat.{u2} 𝕜 0 (Zero.toOfNat0.{u2} 𝕜 (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))))))) -> (Eq.{succ u1} (Set.{u1} E) (Set.preimage.{u1, u1} E E ((fun (x._@.Mathlib.Analysis.Seminorm._hyg.15412 : 𝕜) (x._@.Mathlib.Analysis.Seminorm._hyg.15414 : E) => HSMul.hSMul.{u2, u1, u1} 𝕜 E E (instHSMul.{u2, u1} 𝕜 E (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) x._@.Mathlib.Analysis.Seminorm._hyg.15412 x._@.Mathlib.Analysis.Seminorm._hyg.15414) a) (Seminorm.ball.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) _inst_2 (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))) p y r)) (Seminorm.ball.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) _inst_2 (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))) p (HSMul.hSMul.{u2, u1, u1} 𝕜 E E (instHSMul.{u2, u1} 𝕜 E (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) (Inv.inv.{u2} 𝕜 (Field.toInv.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)) a) y) (HDiv.hDiv.{0, 0, 0} Real Real Real (instHDiv.{0} Real (LinearOrderedField.toDiv.{0} Real Real.instLinearOrderedFieldReal)) r (Norm.norm.{u2} 𝕜 (NormedField.toNorm.{u2} 𝕜 _inst_1) a))))
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : NormedField.{u2} 𝕜] [_inst_2 : AddCommGroup.{u1} E] [_inst_3 : Module.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)] (p : Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) (y : E) (r : Real) (a : 𝕜), (Ne.{succ u2} 𝕜 a (OfNat.ofNat.{u2} 𝕜 0 (Zero.toOfNat0.{u2} 𝕜 (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))))))) -> (Eq.{succ u1} (Set.{u1} E) (Set.preimage.{u1, u1} E E ((fun (x._@.Mathlib.Analysis.Seminorm._hyg.15383 : 𝕜) (x._@.Mathlib.Analysis.Seminorm._hyg.15385 : E) => HSMul.hSMul.{u2, u1, u1} 𝕜 E E (instHSMul.{u2, u1} 𝕜 E (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) x._@.Mathlib.Analysis.Seminorm._hyg.15383 x._@.Mathlib.Analysis.Seminorm._hyg.15385) a) (Seminorm.ball.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) _inst_2 (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))) p y r)) (Seminorm.ball.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) _inst_2 (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))) p (HSMul.hSMul.{u2, u1, u1} 𝕜 E E (instHSMul.{u2, u1} 𝕜 E (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) (Inv.inv.{u2} 𝕜 (Field.toInv.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)) a) y) (HDiv.hDiv.{0, 0, 0} Real Real Real (instHDiv.{0} Real (LinearOrderedField.toDiv.{0} Real Real.instLinearOrderedFieldReal)) r (Norm.norm.{u2} 𝕜 (NormedField.toNorm.{u2} 𝕜 _inst_1) a))))
 Case conversion may be inaccurate. Consider using '#align seminorm.smul_ball_preimage Seminorm.smul_ball_preimageₓ'. -/
 @[simp]
 theorem smul_ball_preimage (p : Seminorm 𝕜 E) (y : E) (r : ℝ) (a : 𝕜) (ha : a ≠ 0) :

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

@@ -1658,7 +1658,7 @@ theorem neg_ball (p : Seminorm 𝕜 E) (r : ℝ) (x : E) : -ball p x r = ball p
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (p : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (y : E) (r : Real) (a : 𝕜), (Ne.{succ u1} 𝕜 a (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))))))) -> (Eq.{succ u2} (Set.{u2} E) (Set.preimage.{u2, u2} E E (SMul.smul.{u1, u2} 𝕜 E (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) a) (Seminorm.ball.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) p y r)) (Seminorm.ball.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) p (SMul.smul.{u1, u2} 𝕜 E (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Inv.inv.{u1} 𝕜 (DivInvMonoid.toHasInv.{u1} 𝕜 (DivisionRing.toDivInvMonoid.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 (NormedField.toNormedDivisionRing.{u1} 𝕜 _inst_1)))) a) y) (HDiv.hDiv.{0, 0, 0} Real Real Real (instHDiv.{0} Real (DivInvMonoid.toHasDiv.{0} Real (DivisionRing.toDivInvMonoid.{0} Real Real.divisionRing))) r (Norm.norm.{u1} 𝕜 (NormedField.toHasNorm.{u1} 𝕜 _inst_1) a))))
 but is expected to have type
-  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : NormedField.{u2} 𝕜] [_inst_2 : AddCommGroup.{u1} E] [_inst_3 : Module.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)] (p : Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) (y : E) (r : Real) (a : 𝕜), (Ne.{succ u2} 𝕜 a (OfNat.ofNat.{u2} 𝕜 0 (Zero.toOfNat0.{u2} 𝕜 (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))))))) -> (Eq.{succ u1} (Set.{u1} E) (Set.preimage.{u1, u1} E E ((fun (x._@.Mathlib.Analysis.Seminorm._hyg.15428 : 𝕜) (x._@.Mathlib.Analysis.Seminorm._hyg.15430 : E) => HSMul.hSMul.{u2, u1, u1} 𝕜 E E (instHSMul.{u2, u1} 𝕜 E (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) x._@.Mathlib.Analysis.Seminorm._hyg.15428 x._@.Mathlib.Analysis.Seminorm._hyg.15430) a) (Seminorm.ball.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) _inst_2 (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))) p y r)) (Seminorm.ball.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) _inst_2 (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))) p (HSMul.hSMul.{u2, u1, u1} 𝕜 E E (instHSMul.{u2, u1} 𝕜 E (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) (Inv.inv.{u2} 𝕜 (Field.toInv.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)) a) y) (HDiv.hDiv.{0, 0, 0} Real Real Real (instHDiv.{0} Real (LinearOrderedField.toDiv.{0} Real Real.instLinearOrderedFieldReal)) r (Norm.norm.{u2} 𝕜 (NormedField.toNorm.{u2} 𝕜 _inst_1) a))))
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : NormedField.{u2} 𝕜] [_inst_2 : AddCommGroup.{u1} E] [_inst_3 : Module.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)] (p : Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) (y : E) (r : Real) (a : 𝕜), (Ne.{succ u2} 𝕜 a (OfNat.ofNat.{u2} 𝕜 0 (Zero.toOfNat0.{u2} 𝕜 (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))))))) -> (Eq.{succ u1} (Set.{u1} E) (Set.preimage.{u1, u1} E E ((fun (x._@.Mathlib.Analysis.Seminorm._hyg.15412 : 𝕜) (x._@.Mathlib.Analysis.Seminorm._hyg.15414 : E) => HSMul.hSMul.{u2, u1, u1} 𝕜 E E (instHSMul.{u2, u1} 𝕜 E (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) x._@.Mathlib.Analysis.Seminorm._hyg.15412 x._@.Mathlib.Analysis.Seminorm._hyg.15414) a) (Seminorm.ball.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) _inst_2 (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))) p y r)) (Seminorm.ball.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) _inst_2 (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))) p (HSMul.hSMul.{u2, u1, u1} 𝕜 E E (instHSMul.{u2, u1} 𝕜 E (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) (Inv.inv.{u2} 𝕜 (Field.toInv.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)) a) y) (HDiv.hDiv.{0, 0, 0} Real Real Real (instHDiv.{0} Real (LinearOrderedField.toDiv.{0} Real Real.instLinearOrderedFieldReal)) r (Norm.norm.{u2} 𝕜 (NormedField.toNorm.{u2} 𝕜 _inst_1) a))))
 Case conversion may be inaccurate. Consider using '#align seminorm.smul_ball_preimage Seminorm.smul_ball_preimageₓ'. -/
 @[simp]
 theorem smul_ball_preimage (p : Seminorm 𝕜 E) (y : E) (r : ℝ) (a : 𝕜) (ha : a ≠ 0) :

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

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Jean Lo, Yaël Dillies, Moritz Doll
 
 ! This file was ported from Lean 3 source module analysis.seminorm
-! leanprover-community/mathlib commit 09079525fd01b3dda35e96adaa08d2f943e1648c
+! leanprover-community/mathlib commit 9d2f0748e6c50d7a2657c564b1ff2c695b39148d
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -16,6 +16,9 @@ import Mathbin.Analysis.Normed.Group.AddTorsor
 /-!
 # Seminorms
 
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
 This file defines seminorms.
 
 A seminorm is a function to the reals which is positive-semidefinite, absolutely homogeneous, and

mathlib commit https://github.com/leanprover-community/mathlib/commit/d2d964c64f8ddcccd6704a731c41f95d13e72f5c

@@ -45,15 +45,18 @@ open BigOperators NNReal Pointwise Topology
 
 variable {R R' 𝕜 𝕜₂ 𝕜₃ 𝕝 E E₂ E₃ F G ι : Type _}
 
+#print Seminorm /-
 /-- A seminorm on a module over a normed ring is a function to the reals that is positive
 semidefinite, positive homogeneous, and subadditive. -/
 structure Seminorm (𝕜 : Type _) (E : Type _) [SeminormedRing 𝕜] [AddGroup E] [SMul 𝕜 E] extends
   AddGroupSeminorm E where
   smul' : ∀ (a : 𝕜) (x : E), to_fun (a • x) = ‖a‖ * to_fun x
 #align seminorm Seminorm
+-/
 
 attribute [nolint doc_blame] Seminorm.toAddGroupSeminorm
 
+#print SeminormClass /-
 /-- `seminorm_class F 𝕜 E` states that `F` is a type of seminorms on the `𝕜`-module E.
 
 You should extend this class when you extend `seminorm`. -/
@@ -61,6 +64,7 @@ class SeminormClass (F : Type _) (𝕜 E : outParam <| Type _) [SeminormedRing 
   [SMul 𝕜 E] extends AddGroupSeminormClass F E ℝ where
   map_smul_eq_mul (f : F) (a : 𝕜) (x : E) : f (a • x) = ‖a‖ * f x
 #align seminorm_class SeminormClass
+-/
 
 export SeminormClass (map_smul_eq_mul)
 
@@ -69,6 +73,12 @@ attribute [nolint dangerous_instance] SeminormClass.toAddGroupSeminormClass
 
 section Of
 
+/- warning: seminorm.of -> Seminorm.of is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (f : E -> Real), (forall (x : E) (y : E), LE.le.{0} Real Real.hasLe (f (HAdd.hAdd.{u2, u2, u2} E E E (instHAdd.{u2} E (AddZeroClass.toHasAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)))))) x y)) (HAdd.hAdd.{0, 0, 0} Real Real Real (instHAdd.{0} Real Real.hasAdd) (f x) (f y))) -> (forall (a : 𝕜) (x : E), Eq.{1} Real (f (SMul.smul.{u1, u2} 𝕜 E (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) a x)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) (Norm.norm.{u1} 𝕜 (SeminormedRing.toHasNorm.{u1} 𝕜 _inst_1) a) (f x))) -> (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))
+but is expected to have type
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (f : E -> Real), (forall (x : E) (y : E), LE.le.{0} Real Real.instLEReal (f (HAdd.hAdd.{u2, u2, u2} E E E (instHAdd.{u2} E (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)))))) x y)) (HAdd.hAdd.{0, 0, 0} Real Real Real (instHAdd.{0} Real Real.instAddReal) (f x) (f y))) -> (forall (a : 𝕜) (x : E), Eq.{1} Real (f (HSMul.hSMul.{u1, u2, u2} 𝕜 E E (instHSMul.{u1, u2} 𝕜 E (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) a x)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (Norm.norm.{u1} 𝕜 (SeminormedRing.toNorm.{u1} 𝕜 _inst_1) a) (f x))) -> (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))
+Case conversion may be inaccurate. Consider using '#align seminorm.of Seminorm.ofₓ'. -/
 /-- Alternative constructor for a `seminorm` on an `add_comm_group E` that is a module over a
 `semi_norm_ring 𝕜`. -/
 def Seminorm.of [SeminormedRing 𝕜] [AddCommGroup E] [Module 𝕜 E] (f : E → ℝ)
@@ -81,6 +91,12 @@ def Seminorm.of [SeminormedRing 𝕜] [AddCommGroup E] [Module 𝕜 E] (f : E 
   neg' x := by rw [← neg_one_smul 𝕜, smul, norm_neg, ← smul, one_smul]
 #align seminorm.of Seminorm.of
 
+/- warning: seminorm.of_smul_le -> Seminorm.ofSmulLe is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (f : E -> Real), (Eq.{1} Real (f (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))))))))) (OfNat.ofNat.{0} Real 0 (OfNat.mk.{0} Real 0 (Zero.zero.{0} Real Real.hasZero)))) -> (forall (x : E) (y : E), LE.le.{0} Real Real.hasLe (f (HAdd.hAdd.{u2, u2, u2} E E E (instHAdd.{u2} E (AddZeroClass.toHasAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)))))) x y)) (HAdd.hAdd.{0, 0, 0} Real Real Real (instHAdd.{0} Real Real.hasAdd) (f x) (f y))) -> (forall (r : 𝕜) (x : E), LE.le.{0} Real Real.hasLe (f (SMul.smul.{u1, u2} 𝕜 E (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) r x)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) (Norm.norm.{u1} 𝕜 (NormedField.toHasNorm.{u1} 𝕜 _inst_1) r) (f x))) -> (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))
+but is expected to have type
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (f : E -> Real), (Eq.{1} Real (f (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2)))))))) (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal))) -> (forall (x : E) (y : E), LE.le.{0} Real Real.instLEReal (f (HAdd.hAdd.{u2, u2, u2} E E E (instHAdd.{u2} E (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)))))) x y)) (HAdd.hAdd.{0, 0, 0} Real Real Real (instHAdd.{0} Real Real.instAddReal) (f x) (f y))) -> (forall (r : 𝕜) (x : E), LE.le.{0} Real Real.instLEReal (f (HSMul.hSMul.{u1, u2, u2} 𝕜 E E (instHSMul.{u1, u2} 𝕜 E (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) r x)) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (Norm.norm.{u1} 𝕜 (NormedField.toNorm.{u1} 𝕜 _inst_1) r) (f x))) -> (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))
+Case conversion may be inaccurate. Consider using '#align seminorm.of_smul_le Seminorm.ofSmulLeₓ'. -/
 /-- Alternative constructor for a `seminorm` over a normed field `𝕜` that only assumes `f 0 = 0`
 and an inequality for the scalar multiplication. -/
 def Seminorm.ofSmulLe [NormedField 𝕜] [AddCommGroup E] [Module 𝕜 E] (f : E → ℝ) (map_zero : f 0 = 0)
@@ -115,6 +131,7 @@ section SMul
 
 variable [SMul 𝕜 E]
 
+#print Seminorm.seminormClass /-
 instance seminormClass : SeminormClass (Seminorm 𝕜 E) 𝕜 E
     where
   coe f := f.toFun
@@ -124,11 +141,18 @@ instance seminormClass : SeminormClass (Seminorm 𝕜 E) 𝕜 E
   map_neg_eq_map f := f.neg'
   map_smul_eq_mul f := f.smul'
 #align seminorm.seminorm_class Seminorm.seminormClass
+-/
 
 /-- Helper instance for when there's too many metavariables to apply `fun_like.has_coe_to_fun`. -/
 instance : CoeFun (Seminorm 𝕜 E) fun _ => E → ℝ :=
   FunLike.hasCoeToFun
 
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+Case conversion may be inaccurate. Consider using '#align seminorm.ext Seminorm.extₓ'. -/
 @[ext]
 theorem ext {p q : Seminorm 𝕜 E} (h : ∀ x, (p : E → ℝ) x = q x) : p = q :=
   FunLike.ext p q h
@@ -137,11 +161,23 @@ theorem ext {p q : Seminorm 𝕜 E} (h : ∀ x, (p : E → ℝ) x = q x) : p = q
 instance : Zero (Seminorm 𝕜 E) :=
   ⟨{ AddGroupSeminorm.hasZero.zero with smul' := fun _ _ => (MulZeroClass.mul_zero _).symm }⟩
 
+/- warning: seminorm.coe_zero -> Seminorm.coe_zero is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align seminorm.coe_zero Seminorm.coe_zeroₓ'. -/
 @[simp]
 theorem coe_zero : ⇑(0 : Seminorm 𝕜 E) = 0 :=
   rfl
 #align seminorm.coe_zero Seminorm.coe_zero
 
+/- warning: seminorm.zero_apply -> Seminorm.zero_apply is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align seminorm.zero_apply Seminorm.zero_applyₓ'. -/
 @[simp]
 theorem zero_apply (x : E) : (0 : Seminorm 𝕜 E) x = 0 :=
   rfl
@@ -166,11 +202,23 @@ instance [SMul R ℝ] [SMul R ℝ≥0] [IsScalarTower R ℝ≥0 ℝ] [SMul R' 
     [IsScalarTower R' ℝ≥0 ℝ] [SMul R R'] [IsScalarTower R R' ℝ] : IsScalarTower R R' (Seminorm 𝕜 E)
     where smul_assoc r a p := ext fun x => smul_assoc r a (p x)
 
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+Case conversion may be inaccurate. Consider using '#align seminorm.coe_smul Seminorm.coe_smulₓ'. -/
 theorem coe_smul [SMul R ℝ] [SMul R ℝ≥0] [IsScalarTower R ℝ≥0 ℝ] (r : R) (p : Seminorm 𝕜 E) :
     ⇑(r • p) = r • p :=
   rfl
 #align seminorm.coe_smul Seminorm.coe_smul
 
+/- warning: seminorm.smul_apply -> Seminorm.smul_apply is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align seminorm.smul_apply Seminorm.smul_applyₓ'. -/
 @[simp]
 theorem smul_apply [SMul R ℝ] [SMul R ℝ≥0] [IsScalarTower R ℝ≥0 ℝ] (r : R) (p : Seminorm 𝕜 E)
     (x : E) : (r • p) x = r • p x :=
@@ -185,10 +233,22 @@ instance : Add (Seminorm 𝕜 E)
       toFun := fun x => p x + q x
       smul' := fun a x => by simp only [map_smul_eq_mul, map_smul_eq_mul, mul_add] }
 
+/- warning: seminorm.coe_add -> Seminorm.coe_add is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align seminorm.coe_add Seminorm.coe_addₓ'. -/
 theorem coe_add (p q : Seminorm 𝕜 E) : ⇑(p + q) = p + q :=
   rfl
 #align seminorm.coe_add Seminorm.coe_add
 
+/- warning: seminorm.add_apply -> Seminorm.add_apply is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddGroup.{u2} E] [_inst_3 : SMul.{u1, u2} 𝕜 E] (p : Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (q : Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (x : E), Eq.{1} Real (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (fun (_x : Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (HAdd.hAdd.{u2, u2, u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (instHAdd.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.hasAdd.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) p q) x) (HAdd.hAdd.{0, 0, 0} Real Real Real (instHAdd.{0} Real Real.hasAdd) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (fun (_x : Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) p x) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (fun (_x : Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) q x))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_2 : AddGroup.{u1} E] [_inst_3 : SMul.{u2, u1} 𝕜 E] (p : Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (q : Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (x : E), Eq.{1} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) x) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E _inst_2)))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real _inst_2 Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) 𝕜 E _inst_1 _inst_2 _inst_3 (Seminorm.seminormClass.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)))) (HAdd.hAdd.{u1, u1, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (instHAdd.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.instAddSeminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)) p q) x) (HAdd.hAdd.{0, 0, 0} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) x) ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) x) ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) x) (instHAdd.{0} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) x) Real.instAddReal) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E _inst_2)))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real _inst_2 Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) 𝕜 E _inst_1 _inst_2 _inst_3 (Seminorm.seminormClass.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)))) p x) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E _inst_2)))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real _inst_2 Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) 𝕜 E _inst_1 _inst_2 _inst_3 (Seminorm.seminormClass.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)))) q x))
+Case conversion may be inaccurate. Consider using '#align seminorm.add_apply Seminorm.add_applyₓ'. -/
 @[simp]
 theorem add_apply (p q : Seminorm 𝕜 E) (x : E) : (p + q) x = p x + q x :=
   rfl
@@ -206,6 +266,12 @@ instance [Monoid R] [MulAction R ℝ] [SMul R ℝ≥0] [IsScalarTower R ℝ≥0
 
 variable (𝕜 E)
 
+/- warning: seminorm.coe_fn_add_monoid_hom -> Seminorm.coeFnAddMonoidHom is a dubious translation:
+lean 3 declaration is
+  forall (𝕜 : Type.{u1}) (E : Type.{u2}) [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddGroup.{u2} E] [_inst_3 : SMul.{u1, u2} 𝕜 E], AddMonoidHom.{u2, u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (E -> Real) (AddMonoid.toAddZeroClass.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.addMonoid.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (Pi.addZeroClass.{u2, 0} E (fun (ᾰ : E) => Real) (fun (i : E) => AddMonoid.toAddZeroClass.{0} Real Real.addMonoid))
+but is expected to have type
+  forall (𝕜 : Type.{u1}) (E : Type.{u2}) [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddGroup.{u2} E] [_inst_3 : SMul.{u1, u2} 𝕜 E], AddMonoidHom.{u2, u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (E -> Real) (AddMonoid.toAddZeroClass.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.instAddMonoidSeminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (Pi.addZeroClass.{u2, 0} E (fun (ᾰ : E) => Real) (fun (i : E) => AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal))
+Case conversion may be inaccurate. Consider using '#align seminorm.coe_fn_add_monoid_hom Seminorm.coeFnAddMonoidHomₓ'. -/
 /-- `coe_fn` as an `add_monoid_hom`. Helper definition for showing that `seminorm 𝕜 E` is
 a module. -/
 @[simps]
@@ -213,6 +279,12 @@ def coeFnAddMonoidHom : AddMonoidHom (Seminorm 𝕜 E) (E → ℝ) :=
   ⟨coeFn, coe_zero, coe_add⟩
 #align seminorm.coe_fn_add_monoid_hom Seminorm.coeFnAddMonoidHom
 
+/- warning: seminorm.coe_fn_add_monoid_hom_injective -> Seminorm.coeFnAddMonoidHom_injective is a dubious translation:
+lean 3 declaration is
+  forall (𝕜 : Type.{u1}) (E : Type.{u2}) [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddGroup.{u2} E] [_inst_3 : SMul.{u1, u2} 𝕜 E], Function.Injective.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (E -> Real) (coeFn.{succ u2, succ u2} (AddMonoidHom.{u2, u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (E -> Real) (AddMonoid.toAddZeroClass.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.addMonoid.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (Pi.addZeroClass.{u2, 0} E (fun (ᾰ : E) => Real) (fun (i : E) => AddMonoid.toAddZeroClass.{0} Real Real.addMonoid))) (fun (_x : AddMonoidHom.{u2, u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (E -> Real) (AddMonoid.toAddZeroClass.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.addMonoid.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (Pi.addZeroClass.{u2, 0} E (fun (ᾰ : E) => Real) (fun (i : E) => AddMonoid.toAddZeroClass.{0} Real Real.addMonoid))) => (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) -> E -> Real) (AddMonoidHom.hasCoeToFun.{u2, u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (E -> Real) (AddMonoid.toAddZeroClass.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.addMonoid.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (Pi.addZeroClass.{u2, 0} E (fun (ᾰ : E) => Real) (fun (i : E) => AddMonoid.toAddZeroClass.{0} Real Real.addMonoid))) (Seminorm.coeFnAddMonoidHom.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))
+but is expected to have type
+  forall (𝕜 : Type.{u1}) (E : Type.{u2}) [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddGroup.{u2} E] [_inst_3 : SMul.{u1, u2} 𝕜 E], Function.Injective.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (E -> Real) (FunLike.coe.{succ u2, succ u2, succ u2} (AddMonoidHom.{u2, u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (E -> Real) (AddMonoid.toAddZeroClass.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.instAddMonoidSeminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (Pi.addZeroClass.{u2, 0} E (fun (a._@.Mathlib.Analysis.Seminorm._hyg.2053 : E) => Real) (fun (i : E) => AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal))) (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (fun (_x : Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.403 : Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) => E -> Real) _x) (AddHomClass.toFunLike.{u2, u2, u2} (AddMonoidHom.{u2, u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (E -> Real) (AddMonoid.toAddZeroClass.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.instAddMonoidSeminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (Pi.addZeroClass.{u2, 0} E (fun (a._@.Mathlib.Analysis.Seminorm._hyg.2053 : E) => Real) (fun (i : E) => AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal))) (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (E -> Real) (AddZeroClass.toAdd.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (AddMonoid.toAddZeroClass.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.instAddMonoidSeminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) (AddZeroClass.toAdd.{u2} (E -> Real) (Pi.addZeroClass.{u2, 0} E (fun (a._@.Mathlib.Analysis.Seminorm._hyg.2053 : E) => Real) (fun (i : E) => AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal))) (AddMonoidHomClass.toAddHomClass.{u2, u2, u2} (AddMonoidHom.{u2, u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (E -> Real) (AddMonoid.toAddZeroClass.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.instAddMonoidSeminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (Pi.addZeroClass.{u2, 0} E (fun (a._@.Mathlib.Analysis.Seminorm._hyg.2053 : E) => Real) (fun (i : E) => AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal))) (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (E -> Real) (AddMonoid.toAddZeroClass.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.instAddMonoidSeminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (Pi.addZeroClass.{u2, 0} E (fun (a._@.Mathlib.Analysis.Seminorm._hyg.2053 : E) => Real) (fun (i : E) => AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal)) (AddMonoidHom.addMonoidHomClass.{u2, u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (E -> Real) (AddMonoid.toAddZeroClass.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.instAddMonoidSeminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (Pi.addZeroClass.{u2, 0} E (fun (a._@.Mathlib.Analysis.Seminorm._hyg.2053 : E) => Real) (fun (i : E) => AddMonoid.toAddZeroClass.{0} Real Real.instAddMonoidReal))))) (Seminorm.coeFnAddMonoidHom.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))
+Case conversion may be inaccurate. Consider using '#align seminorm.coe_fn_add_monoid_hom_injective Seminorm.coeFnAddMonoidHom_injectiveₓ'. -/
 theorem coeFnAddMonoidHom_injective : Function.Injective (coeFnAddMonoidHom 𝕜 E) :=
   show @Function.Injective (Seminorm 𝕜 E) (E → ℝ) coeFn from FunLike.coe_injective
 #align seminorm.coe_fn_add_monoid_hom_injective Seminorm.coeFnAddMonoidHom_injective
@@ -235,15 +307,33 @@ instance : Sup (Seminorm 𝕜 E)
         (congr_arg₂ max (map_smul_eq_mul p x v) (map_smul_eq_mul q x v)).trans <|
           (mul_max_of_nonneg _ _ <| norm_nonneg x).symm }
 
+/- warning: seminorm.coe_sup -> Seminorm.coe_sup is a dubious translation:
+lean 3 declaration is
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+Case conversion may be inaccurate. Consider using '#align seminorm.coe_sup Seminorm.coe_supₓ'. -/
 @[simp]
 theorem coe_sup (p q : Seminorm 𝕜 E) : ⇑(p ⊔ q) = p ⊔ q :=
   rfl
 #align seminorm.coe_sup Seminorm.coe_sup
 
+/- warning: seminorm.sup_apply -> Seminorm.sup_apply is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align seminorm.sup_apply Seminorm.sup_applyₓ'. -/
 theorem sup_apply (p q : Seminorm 𝕜 E) (x : E) : (p ⊔ q) x = p x ⊔ q x :=
   rfl
 #align seminorm.sup_apply Seminorm.sup_apply
 
+/- warning: seminorm.smul_sup -> Seminorm.smul_sup is a dubious translation:
+lean 3 declaration is
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+Case conversion may be inaccurate. Consider using '#align seminorm.smul_sup Seminorm.smul_supₓ'. -/
 theorem smul_sup [SMul R ℝ] [SMul R ℝ≥0] [IsScalarTower R ℝ≥0 ℝ] (r : R) (p q : Seminorm 𝕜 E) :
     r • (p ⊔ q) = r • p ⊔ r • q :=
   have real.smul_max : ∀ x y : ℝ, r • max x y = max (r • x) (r • y) := fun x y => by
@@ -255,20 +345,44 @@ theorem smul_sup [SMul R ℝ] [SMul R ℝ≥0] [IsScalarTower R ℝ≥0 ℝ] (r
 instance : PartialOrder (Seminorm 𝕜 E) :=
   PartialOrder.lift _ FunLike.coe_injective
 
+/- warning: seminorm.coe_le_coe -> Seminorm.coe_le_coe is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align seminorm.coe_le_coe Seminorm.coe_le_coeₓ'. -/
 @[simp, norm_cast]
 theorem coe_le_coe {p q : Seminorm 𝕜 E} : (p : E → ℝ) ≤ q ↔ p ≤ q :=
   Iff.rfl
 #align seminorm.coe_le_coe Seminorm.coe_le_coe
 
+/- warning: seminorm.coe_lt_coe -> Seminorm.coe_lt_coe is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align seminorm.coe_lt_coe Seminorm.coe_lt_coeₓ'. -/
 @[simp, norm_cast]
 theorem coe_lt_coe {p q : Seminorm 𝕜 E} : (p : E → ℝ) < q ↔ p < q :=
   Iff.rfl
 #align seminorm.coe_lt_coe Seminorm.coe_lt_coe
 
+/- warning: seminorm.le_def -> Seminorm.le_def is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align seminorm.le_def Seminorm.le_defₓ'. -/
 theorem le_def {p q : Seminorm 𝕜 E} : p ≤ q ↔ ∀ x, p x ≤ q x :=
   Iff.rfl
 #align seminorm.le_def Seminorm.le_def
 
+/- warning: seminorm.lt_def -> Seminorm.lt_def is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddGroup.{u2} E] [_inst_3 : SMul.{u1, u2} 𝕜 E] {p : Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3} {q : Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3}, Iff (LT.lt.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (Preorder.toLT.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (PartialOrder.toPreorder.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.partialOrder.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) p q) (And (LE.le.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (Preorder.toLE.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (PartialOrder.toPreorder.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.partialOrder.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) p q) (Exists.{succ u2} E (fun (x : E) => LT.lt.{0} Real Real.hasLt (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (fun (_x : Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) p x) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) (fun (_x : Seminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) q x))))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_2 : AddGroup.{u1} E] [_inst_3 : SMul.{u2, u1} 𝕜 E] {p : Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3} {q : Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3}, Iff (LT.lt.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (Preorder.toLT.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (PartialOrder.toPreorder.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.instPartialOrderSeminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3))) p q) (And (LE.le.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (Preorder.toLE.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (PartialOrder.toPreorder.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (Seminorm.instPartialOrderSeminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3))) p q) (Exists.{succ u1} E (fun (x : E) => LT.lt.{0} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) x) Real.instLTReal (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E _inst_2)))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real _inst_2 Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) 𝕜 E _inst_1 _inst_2 _inst_3 (Seminorm.seminormClass.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)))) p x) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E _inst_2)))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) E Real _inst_2 Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) 𝕜 E _inst_1 _inst_2 _inst_3 (Seminorm.seminormClass.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3)))) q x))))
+Case conversion may be inaccurate. Consider using '#align seminorm.lt_def Seminorm.lt_defₓ'. -/
 theorem lt_def {p q : Seminorm 𝕜 E} : p < q ↔ p ≤ q ∧ ∃ x, p x < q x :=
   Pi.lt_def
 #align seminorm.lt_def Seminorm.lt_def
@@ -298,6 +412,7 @@ variable [Module 𝕜 E] [Module 𝕜₂ E₂] [Module 𝕜₃ E₃] [Module 
 
 variable [SMul R ℝ] [SMul R ℝ≥0] [IsScalarTower R ℝ≥0 ℝ]
 
+#print Seminorm.comp /-
 /-- Composition of a seminorm with a linear map is a seminorm. -/
 def comp (p : Seminorm 𝕜₂ E₂) (f : E →ₛₗ[σ₁₂] E₂) : Seminorm 𝕜 E :=
   {
@@ -306,54 +421,121 @@ def comp (p : Seminorm 𝕜₂ E₂) (f : E →ₛₗ[σ₁₂] E₂) : Seminorm
     toFun := fun x => p (f x)
     smul' := fun _ _ => by rw [map_smulₛₗ, map_smul_eq_mul, RingHomIsometric.is_iso] }
 #align seminorm.comp Seminorm.comp
+-/
 
+/- warning: seminorm.coe_comp -> Seminorm.coe_comp is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {𝕜₂ : Type.{u2}} {E : Type.{u3}} {E₂ : Type.{u4}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : SeminormedRing.{u2} 𝕜₂] {σ₁₂ : RingHom.{u1, u2} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))} [_inst_4 : RingHomIsometric.{u1, u2} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (SeminormedRing.toHasNorm.{u1} 𝕜 _inst_1) (SeminormedRing.toHasNorm.{u2} 𝕜₂ _inst_2) σ₁₂] [_inst_7 : AddCommGroup.{u3} E] [_inst_8 : AddCommGroup.{u4} E₂] [_inst_12 : Module.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)] [_inst_13 : Module.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} 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(AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))) (fun (_x : Seminorm.{u2, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))) => E₂ -> Real) (Seminorm.hasCoeToFun.{u2, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))) p) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_12 _inst_13) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_12 _inst_13) => E -> E₂) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜 𝕜₂ E E₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_12 _inst_13 σ₁₂) f))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {𝕜₂ : Type.{u4}} {E : Type.{u1}} {E₂ : Type.{u3}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_2 : SeminormedRing.{u4} 𝕜₂] {σ₁₂ : RingHom.{u2, u4} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NonAssocRing.toNonAssocSemiring.{u4} 𝕜₂ (Ring.toNonAssocRing.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))} [_inst_4 : RingHomIsometric.{u2, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (SeminormedRing.toNorm.{u2} 𝕜 _inst_1) (SeminormedRing.toNorm.{u4} 𝕜₂ _inst_2) σ₁₂] [_inst_7 : AddCommGroup.{u1} E] [_inst_8 : AddCommGroup.{u3} E₂] [_inst_12 : Module.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7)] [_inst_13 : Module.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8)] (p : Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) (f : LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_12 _inst_13), Eq.{succ u1} (forall (ᾰ : E), (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) ᾰ) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_7))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) E Real (AddCommGroup.toAddGroup.{u1} E _inst_7) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12)))) (Seminorm.seminormClass.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} 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(SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) E₂ Real (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u3, u4, u3} (Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13)))) (Seminorm.seminormClass.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13)))))))) p) (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_12 _inst_13) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : E) => E₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_12 _inst_13 σ₁₂) f))
+Case conversion may be inaccurate. Consider using '#align seminorm.coe_comp Seminorm.coe_compₓ'. -/
 theorem coe_comp (p : Seminorm 𝕜₂ E₂) (f : E →ₛₗ[σ₁₂] E₂) : ⇑(p.comp f) = p ∘ f :=
   rfl
 #align seminorm.coe_comp Seminorm.coe_comp
 
+/- warning: seminorm.comp_apply -> Seminorm.comp_apply is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {𝕜₂ : Type.{u2}} {E : Type.{u3}} {E₂ : Type.{u4}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : SeminormedRing.{u2} 𝕜₂] {σ₁₂ : RingHom.{u1, u2} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))} [_inst_4 : RingHomIsometric.{u1, u2} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (SeminormedRing.toHasNorm.{u1} 𝕜 _inst_1) (SeminormedRing.toHasNorm.{u2} 𝕜₂ _inst_2) σ₁₂] [_inst_7 : AddCommGroup.{u3} E] [_inst_8 : AddCommGroup.{u4} E₂] [_inst_12 : Module.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)] [_inst_13 : Module.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)] (p : Seminorm.{u2, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) 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(MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))) (Seminorm.comp.{u1, u2, u3, u4} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 p f) x) (coeFn.{succ u4, succ u4} (Seminorm.{u2, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))) (fun (_x : Seminorm.{u2, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))) => E₂ -> Real) (Seminorm.hasCoeToFun.{u2, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))) p (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_12 _inst_13) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_12 _inst_13) => E -> E₂) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜 𝕜₂ E E₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_12 _inst_13 σ₁₂) f x))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {𝕜₂ : Type.{u4}} {E : Type.{u1}} {E₂ : Type.{u3}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_2 : SeminormedRing.{u4} 𝕜₂] {σ₁₂ : RingHom.{u2, u4} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NonAssocRing.toNonAssocSemiring.{u4} 𝕜₂ (Ring.toNonAssocRing.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))} [_inst_4 : RingHomIsometric.{u2, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (SeminormedRing.toNorm.{u2} 𝕜 _inst_1) (SeminormedRing.toNorm.{u4} 𝕜₂ _inst_2) σ₁₂] [_inst_7 : AddCommGroup.{u1} E] [_inst_8 : AddCommGroup.{u3} E₂] [_inst_12 : Module.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7)] [_inst_13 : Module.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8)] (p : Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) (f : LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_12 _inst_13) (x : E), Eq.{1} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) x) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_7))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E 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(SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E 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(Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12)))))))) (Seminorm.comp.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 p f) x) (FunLike.coe.{succ u3, succ u3, 1} (Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ 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(AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) E₂ Real (AddZeroClass.toAdd.{u3} E₂ (AddMonoid.toAddZeroClass.{u3} E₂ (SubNegMonoid.toAddMonoid.{u3} E₂ (AddGroup.toSubNegMonoid.{u3} E₂ (AddCommGroup.toAddGroup.{u3} E₂ _inst_8))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u3, u3, 0} (Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) E₂ Real (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u3, u4, u3} (Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13)))) (Seminorm.seminormClass.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ 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(succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_12 _inst_13) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : E) => E₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_12 _inst_13 σ₁₂) f x))
+Case conversion may be inaccurate. Consider using '#align seminorm.comp_apply Seminorm.comp_applyₓ'. -/
 @[simp]
 theorem comp_apply (p : Seminorm 𝕜₂ E₂) (f : E →ₛₗ[σ₁₂] E₂) (x : E) : (p.comp f) x = p (f x) :=
   rfl
 #align seminorm.comp_apply Seminorm.comp_apply
 
+/- warning: seminorm.comp_id -> Seminorm.comp_id is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align seminorm.comp_id Seminorm.comp_idₓ'. -/
 @[simp]
 theorem comp_id (p : Seminorm 𝕜 E) : p.comp LinearMap.id = p :=
   ext fun _ => rfl
 #align seminorm.comp_id Seminorm.comp_id
 
+/- warning: seminorm.comp_zero -> Seminorm.comp_zero is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {𝕜₂ : Type.{u2}} {E : Type.{u3}} {E₂ : Type.{u4}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : SeminormedRing.{u2} 𝕜₂] {σ₁₂ : RingHom.{u1, u2} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))} [_inst_4 : RingHomIsometric.{u1, u2} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (SeminormedRing.toHasNorm.{u1} 𝕜 _inst_1) (SeminormedRing.toHasNorm.{u2} 𝕜₂ _inst_2) σ₁₂] [_inst_7 : AddCommGroup.{u3} E] [_inst_8 : AddCommGroup.{u4} E₂] [_inst_12 : Module.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)] [_inst_13 : Module.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)] (p : Seminorm.{u2, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) 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(AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))) (Seminorm.comp.{u1, u2, u3, u4} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 p (OfNat.ofNat.{max u3 u4} (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_12 _inst_13) 0 (OfNat.mk.{max u3 u4} (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_12 _inst_13) 0 (Zero.zero.{max u3 u4} (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_12 _inst_13) (LinearMap.hasZero.{u1, u2, u3, u4} 𝕜 𝕜₂ E E₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_12 _inst_13 σ₁₂))))) (OfNat.ofNat.{u3} (Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))) 0 (OfNat.mk.{u3} (Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))) 0 (Zero.zero.{u3} (Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))) (Seminorm.hasZero.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))))))
+but is expected to have type
+  forall {𝕜 : Type.{u1}} {𝕜₂ : Type.{u4}} {E : Type.{u2}} {E₂ : Type.{u3}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : SeminormedRing.{u4} 𝕜₂] {σ₁₂ : RingHom.{u1, u4} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NonAssocRing.toNonAssocSemiring.{u4} 𝕜₂ (Ring.toNonAssocRing.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))} [_inst_4 : RingHomIsometric.{u1, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (SeminormedRing.toNorm.{u1} 𝕜 _inst_1) (SeminormedRing.toNorm.{u4} 𝕜₂ _inst_2) σ₁₂] [_inst_7 : AddCommGroup.{u2} E] [_inst_8 : AddCommGroup.{u3} E₂] [_inst_12 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)] [_inst_13 : Module.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8)] (p : Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))), Eq.{succ u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Seminorm.comp.{u1, u4, u2, u3} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 p (OfNat.ofNat.{max u2 u3} (LinearMap.{u1, u4, u2, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_12 _inst_13) 0 (Zero.toOfNat0.{max u2 u3} (LinearMap.{u1, u4, u2, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_12 _inst_13) (LinearMap.instZeroLinearMap.{u1, u4, u2, u3} 𝕜 𝕜₂ E E₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_12 _inst_13 σ₁₂)))) (OfNat.ofNat.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) 0 (Zero.toOfNat0.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Seminorm.instZeroSeminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))))))
+Case conversion may be inaccurate. Consider using '#align seminorm.comp_zero Seminorm.comp_zeroₓ'. -/
 @[simp]
 theorem comp_zero (p : Seminorm 𝕜₂ E₂) : p.comp (0 : E →ₛₗ[σ₁₂] E₂) = 0 :=
   ext fun _ => map_zero p
 #align seminorm.comp_zero Seminorm.comp_zero
 
+/- warning: seminorm.zero_comp -> Seminorm.zero_comp is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {𝕜₂ : Type.{u2}} {E : Type.{u3}} {E₂ : Type.{u4}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : SeminormedRing.{u2} 𝕜₂] {σ₁₂ : RingHom.{u1, u2} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))} [_inst_4 : RingHomIsometric.{u1, u2} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (SeminormedRing.toHasNorm.{u1} 𝕜 _inst_1) (SeminormedRing.toHasNorm.{u2} 𝕜₂ _inst_2) σ₁₂] [_inst_7 : AddCommGroup.{u3} E] [_inst_8 : AddCommGroup.{u4} E₂] [_inst_12 : Module.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)] [_inst_13 : Module.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)] (f : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_12 _inst_13), Eq.{succ u3} (Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))) (Seminorm.comp.{u1, u2, u3, u4} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 (OfNat.ofNat.{u4} (Seminorm.{u2, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))) 0 (OfNat.mk.{u4} (Seminorm.{u2, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))) 0 (Zero.zero.{u4} (Seminorm.{u2, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))) (Seminorm.hasZero.{u2, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13)))))))) f) (OfNat.ofNat.{u3} (Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))) 0 (OfNat.mk.{u3} (Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))) 0 (Zero.zero.{u3} (Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))) (Seminorm.hasZero.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))))))
+but is expected to have type
+  forall {𝕜 : Type.{u4}} {𝕜₂ : Type.{u3}} {E : Type.{u2}} {E₂ : Type.{u1}} [_inst_1 : SeminormedRing.{u4} 𝕜] [_inst_2 : SeminormedRing.{u3} 𝕜₂] {σ₁₂ : RingHom.{u4, u3} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u4} 𝕜 (Ring.toNonAssocRing.{u4} 𝕜 (SeminormedRing.toRing.{u4} 𝕜 _inst_1))) (NonAssocRing.toNonAssocSemiring.{u3} 𝕜₂ (Ring.toNonAssocRing.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2)))} [_inst_4 : RingHomIsometric.{u4, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u4} 𝕜 (SeminormedRing.toRing.{u4} 𝕜 _inst_1)) (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2)) (SeminormedRing.toNorm.{u4} 𝕜 _inst_1) (SeminormedRing.toNorm.{u3} 𝕜₂ _inst_2) σ₁₂] [_inst_7 : AddCommGroup.{u2} E] [_inst_8 : AddCommGroup.{u1} E₂] [_inst_12 : Module.{u4, u2} 𝕜 E (Ring.toSemiring.{u4} 𝕜 (SeminormedRing.toRing.{u4} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)] [_inst_13 : Module.{u3, u1} 𝕜₂ E₂ (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} E₂ _inst_8)] (f : LinearMap.{u4, u3, u2, u1} 𝕜 𝕜₂ (Ring.toSemiring.{u4} 𝕜 (SeminormedRing.toRing.{u4} 𝕜 _inst_1)) (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) (AddCommGroup.toAddCommMonoid.{u1} E₂ _inst_8) _inst_12 _inst_13), Eq.{succ u2} (Seminorm.{u4, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u4, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u4, u2} 𝕜 E (MonoidWithZero.toZero.{u4} 𝕜 (Semiring.toMonoidWithZero.{u4} 𝕜 (Ring.toSemiring.{u4} 𝕜 (SeminormedRing.toRing.{u4} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u4, u2} 𝕜 E (Semiring.toMonoidWithZero.{u4} 𝕜 (Ring.toSemiring.{u4} 𝕜 (SeminormedRing.toRing.{u4} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u4, u2} 𝕜 E (Ring.toSemiring.{u4} 𝕜 (SeminormedRing.toRing.{u4} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Seminorm.comp.{u4, u3, u2, u1} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 (OfNat.ofNat.{u1} (Seminorm.{u3, u1} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u1} E₂ _inst_8) (SMulZeroClass.toSMul.{u3, u1} 𝕜₂ E₂ (NegZeroClass.toZero.{u1} E₂ (SubNegZeroMonoid.toNegZeroClass.{u1} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u3, u1} 𝕜₂ E₂ (MonoidWithZero.toZero.{u3} 𝕜₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u1} E₂ (SubNegZeroMonoid.toNegZeroClass.{u1} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u3, u1} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u1} E₂ (SubNegZeroMonoid.toNegZeroClass.{u1} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} E₂ _inst_8))))) (Module.toMulActionWithZero.{u3, u1} 𝕜₂ E₂ (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} E₂ _inst_8) _inst_13))))) 0 (Zero.toOfNat0.{u1} (Seminorm.{u3, u1} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u1} E₂ _inst_8) (SMulZeroClass.toSMul.{u3, u1} 𝕜₂ E₂ (NegZeroClass.toZero.{u1} E₂ (SubNegZeroMonoid.toNegZeroClass.{u1} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u3, u1} 𝕜₂ E₂ (MonoidWithZero.toZero.{u3} 𝕜₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u1} E₂ (SubNegZeroMonoid.toNegZeroClass.{u1} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u3, u1} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u1} E₂ (SubNegZeroMonoid.toNegZeroClass.{u1} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} E₂ _inst_8))))) (Module.toMulActionWithZero.{u3, u1} 𝕜₂ E₂ (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} E₂ _inst_8) _inst_13))))) (Seminorm.instZeroSeminorm.{u3, u1} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u1} E₂ _inst_8) (SMulZeroClass.toSMul.{u3, u1} 𝕜₂ E₂ (NegZeroClass.toZero.{u1} E₂ (SubNegZeroMonoid.toNegZeroClass.{u1} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u3, u1} 𝕜₂ E₂ (MonoidWithZero.toZero.{u3} 𝕜₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u1} E₂ (SubNegZeroMonoid.toNegZeroClass.{u1} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u3, u1} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u1} E₂ (SubNegZeroMonoid.toNegZeroClass.{u1} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} E₂ _inst_8))))) (Module.toMulActionWithZero.{u3, u1} 𝕜₂ E₂ (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} E₂ _inst_8) _inst_13))))))) f) (OfNat.ofNat.{u2} (Seminorm.{u4, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u4, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u4, u2} 𝕜 E (MonoidWithZero.toZero.{u4} 𝕜 (Semiring.toMonoidWithZero.{u4} 𝕜 (Ring.toSemiring.{u4} 𝕜 (SeminormedRing.toRing.{u4} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u4, u2} 𝕜 E (Semiring.toMonoidWithZero.{u4} 𝕜 (Ring.toSemiring.{u4} 𝕜 (SeminormedRing.toRing.{u4} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u4, u2} 𝕜 E (Ring.toSemiring.{u4} 𝕜 (SeminormedRing.toRing.{u4} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) 0 (Zero.toOfNat0.{u2} (Seminorm.{u4, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u4, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u4, u2} 𝕜 E (MonoidWithZero.toZero.{u4} 𝕜 (Semiring.toMonoidWithZero.{u4} 𝕜 (Ring.toSemiring.{u4} 𝕜 (SeminormedRing.toRing.{u4} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u4, u2} 𝕜 E (Semiring.toMonoidWithZero.{u4} 𝕜 (Ring.toSemiring.{u4} 𝕜 (SeminormedRing.toRing.{u4} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u4, u2} 𝕜 E (Ring.toSemiring.{u4} 𝕜 (SeminormedRing.toRing.{u4} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Seminorm.instZeroSeminorm.{u4, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u4, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u4, u2} 𝕜 E (MonoidWithZero.toZero.{u4} 𝕜 (Semiring.toMonoidWithZero.{u4} 𝕜 (Ring.toSemiring.{u4} 𝕜 (SeminormedRing.toRing.{u4} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u4, u2} 𝕜 E (Semiring.toMonoidWithZero.{u4} 𝕜 (Ring.toSemiring.{u4} 𝕜 (SeminormedRing.toRing.{u4} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u4, u2} 𝕜 E (Ring.toSemiring.{u4} 𝕜 (SeminormedRing.toRing.{u4} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))))))
+Case conversion may be inaccurate. Consider using '#align seminorm.zero_comp Seminorm.zero_compₓ'. -/
 @[simp]
 theorem zero_comp (f : E →ₛₗ[σ₁₂] E₂) : (0 : Seminorm 𝕜₂ E₂).comp f = 0 :=
   ext fun _ => rfl
 #align seminorm.zero_comp Seminorm.zero_comp
 
+/- warning: seminorm.comp_comp -> Seminorm.comp_comp is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {𝕜₂ : Type.{u2}} {𝕜₃ : Type.{u3}} {E : Type.{u4}} {E₂ : Type.{u5}} {E₃ : Type.{u6}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : SeminormedRing.{u2} 𝕜₂] [_inst_3 : SeminormedRing.{u3} 𝕜₃] {σ₁₂ : RingHom.{u1, u2} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))} [_inst_4 : RingHomIsometric.{u1, u2} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (SeminormedRing.toHasNorm.{u1} 𝕜 _inst_1) (SeminormedRing.toHasNorm.{u2} 𝕜₂ _inst_2) σ₁₂] {σ₂₃ : RingHom.{u2, u3} 𝕜₂ 𝕜₃ (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (NonAssocRing.toNonAssocSemiring.{u3} 𝕜₃ (Ring.toNonAssocRing.{u3} 𝕜₃ (SeminormedRing.toRing.{u3} 𝕜₃ _inst_3)))} [_inst_5 : RingHomIsometric.{u2, u3} 𝕜₂ 𝕜₃ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (Ring.toSemiring.{u3} 𝕜₃ (SeminormedRing.toRing.{u3} 𝕜₃ _inst_3)) (SeminormedRing.toHasNorm.{u2} 𝕜₂ _inst_2) (SeminormedRing.toHasNorm.{u3} 𝕜₃ _inst_3) σ₂₃] {σ₁₃ : RingHom.{u1, u3} 𝕜 𝕜₃ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NonAssocRing.toNonAssocSemiring.{u3} 𝕜₃ (Ring.toNonAssocRing.{u3} 𝕜₃ (SeminormedRing.toRing.{u3} 𝕜₃ _inst_3)))} [_inst_6 : RingHomIsometric.{u1, u3} 𝕜 𝕜₃ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u3} 𝕜₃ (SeminormedRing.toRing.{u3} 𝕜₃ _inst_3)) (SeminormedRing.toHasNorm.{u1} 𝕜 _inst_1) (SeminormedRing.toHasNorm.{u3} 𝕜₃ _inst_3) σ₁₃] [_inst_7 : AddCommGroup.{u4} E] [_inst_8 : AddCommGroup.{u5} E₂] [_inst_9 : AddCommGroup.{u6} E₃] [_inst_12 : Module.{u1, u4} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} E _inst_7)] [_inst_13 : Module.{u2, u5} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u5} E₂ _inst_8)] [_inst_14 : Module.{u3, u6} 𝕜₃ E₃ (Ring.toSemiring.{u3} 𝕜₃ (SeminormedRing.toRing.{u3} 𝕜₃ _inst_3)) (AddCommGroup.toAddCommMonoid.{u6} E₃ _inst_9)] [_inst_20 : RingHomCompTriple.{u1, u2, u3} 𝕜 𝕜₂ 𝕜₃ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (Ring.toSemiring.{u3} 𝕜₃ (SeminormedRing.toRing.{u3} 𝕜₃ _inst_3)) σ₁₂ σ₂₃ σ₁₃] (p : Seminorm.{u3, u6} 𝕜₃ E₃ _inst_3 (AddCommGroup.toAddGroup.{u6} E₃ _inst_9) (SMulZeroClass.toHasSmul.{u3, u6} 𝕜₃ E₃ (AddZeroClass.toHasZero.{u6} E₃ (AddMonoid.toAddZeroClass.{u6} E₃ (AddCommMonoid.toAddMonoid.{u6} E₃ (AddCommGroup.toAddCommMonoid.{u6} E₃ _inst_9)))) (SMulWithZero.toSmulZeroClass.{u3, u6} 𝕜₃ E₃ (MulZeroClass.toHasZero.{u3} 𝕜₃ (MulZeroOneClass.toMulZeroClass.{u3} 𝕜₃ (MonoidWithZero.toMulZeroOneClass.{u3} 𝕜₃ (Semiring.toMonoidWithZero.{u3} 𝕜₃ (Ring.toSemiring.{u3} 𝕜₃ (SeminormedRing.toRing.{u3} 𝕜₃ _inst_3)))))) (AddZeroClass.toHasZero.{u6} E₃ (AddMonoid.toAddZeroClass.{u6} E₃ (AddCommMonoid.toAddMonoid.{u6} E₃ (AddCommGroup.toAddCommMonoid.{u6} E₃ _inst_9)))) (MulActionWithZero.toSMulWithZero.{u3, u6} 𝕜₃ E₃ (Semiring.toMonoidWithZero.{u3} 𝕜₃ (Ring.toSemiring.{u3} 𝕜₃ (SeminormedRing.toRing.{u3} 𝕜₃ _inst_3))) (AddZeroClass.toHasZero.{u6} E₃ (AddMonoid.toAddZeroClass.{u6} E₃ (AddCommMonoid.toAddMonoid.{u6} E₃ (AddCommGroup.toAddCommMonoid.{u6} E₃ _inst_9)))) (Module.toMulActionWithZero.{u3, u6} 𝕜₃ E₃ (Ring.toSemiring.{u3} 𝕜₃ (SeminormedRing.toRing.{u3} 𝕜₃ _inst_3)) (AddCommGroup.toAddCommMonoid.{u6} E₃ _inst_9) _inst_14))))) (g : LinearMap.{u2, u3, u5, u6} 𝕜₂ 𝕜₃ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (Ring.toSemiring.{u3} 𝕜₃ (SeminormedRing.toRing.{u3} 𝕜₃ _inst_3)) σ₂₃ E₂ E₃ (AddCommGroup.toAddCommMonoid.{u5} E₂ _inst_8) (AddCommGroup.toAddCommMonoid.{u6} E₃ _inst_9) _inst_13 _inst_14) (f : LinearMap.{u1, u2, u4, u5} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u4} E _inst_7) (AddCommGroup.toAddCommMonoid.{u5} E₂ _inst_8) _inst_12 _inst_13), Eq.{succ u4} (Seminorm.{u1, u4} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u4} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u4} 𝕜 E (AddZeroClass.toHasZero.{u4} E (AddMonoid.toAddZeroClass.{u4} E (AddCommMonoid.toAddMonoid.{u4} E (AddCommGroup.toAddCommMonoid.{u4} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u4} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u4} E (AddMonoid.toAddZeroClass.{u4} E (AddCommMonoid.toAddMonoid.{u4} E (AddCommGroup.toAddCommMonoid.{u4} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u4} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u4} E (AddMonoid.toAddZeroClass.{u4} E (AddCommMonoid.toAddMonoid.{u4} E (AddCommGroup.toAddCommMonoid.{u4} E _inst_7)))) (Module.toMulActionWithZero.{u1, u4} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} E _inst_7) _inst_12))))) (Seminorm.comp.{u1, u3, u4, u6} 𝕜 𝕜₃ E E₃ _inst_1 _inst_3 σ₁₃ _inst_6 _inst_7 _inst_9 _inst_12 _inst_14 p (LinearMap.comp.{u1, u2, u3, u4, u5, u6} 𝕜 𝕜₂ 𝕜₃ E E₂ E₃ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (Ring.toSemiring.{u3} 𝕜₃ (SeminormedRing.toRing.{u3} 𝕜₃ _inst_3)) (AddCommGroup.toAddCommMonoid.{u4} E _inst_7) (AddCommGroup.toAddCommMonoid.{u5} E₂ _inst_8) (AddCommGroup.toAddCommMonoid.{u6} E₃ _inst_9) _inst_12 _inst_13 _inst_14 σ₁₂ σ₂₃ σ₁₃ _inst_20 g f)) (Seminorm.comp.{u1, u2, u4, u5} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 (Seminorm.comp.{u2, u3, u5, u6} 𝕜₂ 𝕜₃ E₂ E₃ _inst_2 _inst_3 σ₂₃ _inst_5 _inst_8 _inst_9 _inst_13 _inst_14 p g) f)
+but is expected to have type
+  forall {𝕜 : Type.{u6}} {𝕜₂ : Type.{u5}} {𝕜₃ : Type.{u4}} {E : Type.{u1}} {E₂ : Type.{u2}} {E₃ : Type.{u3}} [_inst_1 : SeminormedRing.{u6} 𝕜] [_inst_2 : SeminormedRing.{u5} 𝕜₂] [_inst_3 : SeminormedRing.{u4} 𝕜₃] {σ₁₂ : RingHom.{u6, u5} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u6} 𝕜 (Ring.toNonAssocRing.{u6} 𝕜 (SeminormedRing.toRing.{u6} 𝕜 _inst_1))) (NonAssocRing.toNonAssocSemiring.{u5} 𝕜₂ (Ring.toNonAssocRing.{u5} 𝕜₂ (SeminormedRing.toRing.{u5} 𝕜₂ _inst_2)))} [_inst_4 : RingHomIsometric.{u6, u5} 𝕜 𝕜₂ (Ring.toSemiring.{u6} 𝕜 (SeminormedRing.toRing.{u6} 𝕜 _inst_1)) (Ring.toSemiring.{u5} 𝕜₂ (SeminormedRing.toRing.{u5} 𝕜₂ _inst_2)) (SeminormedRing.toNorm.{u6} 𝕜 _inst_1) (SeminormedRing.toNorm.{u5} 𝕜₂ _inst_2) σ₁₂] {σ₂₃ : RingHom.{u5, u4} 𝕜₂ 𝕜₃ (NonAssocRing.toNonAssocSemiring.{u5} 𝕜₂ (Ring.toNonAssocRing.{u5} 𝕜₂ (SeminormedRing.toRing.{u5} 𝕜₂ _inst_2))) (NonAssocRing.toNonAssocSemiring.{u4} 𝕜₃ (Ring.toNonAssocRing.{u4} 𝕜₃ (SeminormedRing.toRing.{u4} 𝕜₃ _inst_3)))} [_inst_5 : RingHomIsometric.{u5, u4} 𝕜₂ 𝕜₃ (Ring.toSemiring.{u5} 𝕜₂ (SeminormedRing.toRing.{u5} 𝕜₂ _inst_2)) (Ring.toSemiring.{u4} 𝕜₃ (SeminormedRing.toRing.{u4} 𝕜₃ _inst_3)) (SeminormedRing.toNorm.{u5} 𝕜₂ _inst_2) (SeminormedRing.toNorm.{u4} 𝕜₃ _inst_3) σ₂₃] {σ₁₃ : RingHom.{u6, u4} 𝕜 𝕜₃ (NonAssocRing.toNonAssocSemiring.{u6} 𝕜 (Ring.toNonAssocRing.{u6} 𝕜 (SeminormedRing.toRing.{u6} 𝕜 _inst_1))) (NonAssocRing.toNonAssocSemiring.{u4} 𝕜₃ (Ring.toNonAssocRing.{u4} 𝕜₃ (SeminormedRing.toRing.{u4} 𝕜₃ _inst_3)))} [_inst_6 : RingHomIsometric.{u6, u4} 𝕜 𝕜₃ (Ring.toSemiring.{u6} 𝕜 (SeminormedRing.toRing.{u6} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₃ (SeminormedRing.toRing.{u4} 𝕜₃ _inst_3)) (SeminormedRing.toNorm.{u6} 𝕜 _inst_1) (SeminormedRing.toNorm.{u4} 𝕜₃ _inst_3) σ₁₃] [_inst_7 : AddCommGroup.{u1} E] [_inst_8 : AddCommGroup.{u2} E₂] [_inst_9 : AddCommGroup.{u3} E₃] [_inst_12 : Module.{u6, u1} 𝕜 E (Ring.toSemiring.{u6} 𝕜 (SeminormedRing.toRing.{u6} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7)] [_inst_13 : Module.{u5, u2} 𝕜₂ E₂ (Ring.toSemiring.{u5} 𝕜₂ (SeminormedRing.toRing.{u5} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E₂ _inst_8)] [_inst_14 : Module.{u4, u3} 𝕜₃ E₃ (Ring.toSemiring.{u4} 𝕜₃ (SeminormedRing.toRing.{u4} 𝕜₃ _inst_3)) (AddCommGroup.toAddCommMonoid.{u3} E₃ _inst_9)] [_inst_20 : RingHomCompTriple.{u6, u5, u4} 𝕜 𝕜₂ 𝕜₃ (Ring.toSemiring.{u6} 𝕜 (SeminormedRing.toRing.{u6} 𝕜 _inst_1)) (Ring.toSemiring.{u5} 𝕜₂ (SeminormedRing.toRing.{u5} 𝕜₂ _inst_2)) (Ring.toSemiring.{u4} 𝕜₃ (SeminormedRing.toRing.{u4} 𝕜₃ _inst_3)) σ₁₂ σ₂₃ σ₁₃] (p : Seminorm.{u4, u3} 𝕜₃ E₃ _inst_3 (AddCommGroup.toAddGroup.{u3} E₃ _inst_9) (SMulZeroClass.toSMul.{u4, u3} 𝕜₃ E₃ (NegZeroClass.toZero.{u3} E₃ (SubNegZeroMonoid.toNegZeroClass.{u3} E₃ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₃ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₃ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₃ _inst_9))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₃ E₃ (MonoidWithZero.toZero.{u4} 𝕜₃ (Semiring.toMonoidWithZero.{u4} 𝕜₃ (Ring.toSemiring.{u4} 𝕜₃ (SeminormedRing.toRing.{u4} 𝕜₃ _inst_3)))) (NegZeroClass.toZero.{u3} E₃ (SubNegZeroMonoid.toNegZeroClass.{u3} E₃ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₃ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₃ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₃ _inst_9))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₃ E₃ (Semiring.toMonoidWithZero.{u4} 𝕜₃ (Ring.toSemiring.{u4} 𝕜₃ (SeminormedRing.toRing.{u4} 𝕜₃ _inst_3))) (NegZeroClass.toZero.{u3} E₃ (SubNegZeroMonoid.toNegZeroClass.{u3} E₃ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₃ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₃ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₃ _inst_9))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₃ E₃ (Ring.toSemiring.{u4} 𝕜₃ (SeminormedRing.toRing.{u4} 𝕜₃ _inst_3)) (AddCommGroup.toAddCommMonoid.{u3} E₃ _inst_9) _inst_14))))) (g : LinearMap.{u5, u4, u2, u3} 𝕜₂ 𝕜₃ (Ring.toSemiring.{u5} 𝕜₂ (SeminormedRing.toRing.{u5} 𝕜₂ _inst_2)) (Ring.toSemiring.{u4} 𝕜₃ (SeminormedRing.toRing.{u4} 𝕜₃ _inst_3)) σ₂₃ E₂ E₃ (AddCommGroup.toAddCommMonoid.{u2} E₂ _inst_8) (AddCommGroup.toAddCommMonoid.{u3} E₃ _inst_9) _inst_13 _inst_14) (f : LinearMap.{u6, u5, u1, u2} 𝕜 𝕜₂ (Ring.toSemiring.{u6} 𝕜 (SeminormedRing.toRing.{u6} 𝕜 _inst_1)) (Ring.toSemiring.{u5} 𝕜₂ (SeminormedRing.toRing.{u5} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) (AddCommGroup.toAddCommMonoid.{u2} E₂ _inst_8) _inst_12 _inst_13), Eq.{succ u1} (Seminorm.{u6, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u6, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u6, u1} 𝕜 E (MonoidWithZero.toZero.{u6} 𝕜 (Semiring.toMonoidWithZero.{u6} 𝕜 (Ring.toSemiring.{u6} 𝕜 (SeminormedRing.toRing.{u6} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u6, u1} 𝕜 E (Semiring.toMonoidWithZero.{u6} 𝕜 (Ring.toSemiring.{u6} 𝕜 (SeminormedRing.toRing.{u6} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u6, u1} 𝕜 E (Ring.toSemiring.{u6} 𝕜 (SeminormedRing.toRing.{u6} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (Seminorm.comp.{u6, u4, u1, u3} 𝕜 𝕜₃ E E₃ _inst_1 _inst_3 σ₁₃ _inst_6 _inst_7 _inst_9 _inst_12 _inst_14 p (LinearMap.comp.{u6, u5, u4, u1, u2, u3} 𝕜 𝕜₂ 𝕜₃ E E₂ E₃ (Ring.toSemiring.{u6} 𝕜 (SeminormedRing.toRing.{u6} 𝕜 _inst_1)) (Ring.toSemiring.{u5} 𝕜₂ (SeminormedRing.toRing.{u5} 𝕜₂ _inst_2)) (Ring.toSemiring.{u4} 𝕜₃ (SeminormedRing.toRing.{u4} 𝕜₃ _inst_3)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) (AddCommGroup.toAddCommMonoid.{u2} E₂ _inst_8) (AddCommGroup.toAddCommMonoid.{u3} E₃ _inst_9) _inst_12 _inst_13 _inst_14 σ₁₂ σ₂₃ σ₁₃ _inst_20 g f)) (Seminorm.comp.{u6, u5, u1, u2} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 (Seminorm.comp.{u5, u4, u2, u3} 𝕜₂ 𝕜₃ E₂ E₃ _inst_2 _inst_3 σ₂₃ _inst_5 _inst_8 _inst_9 _inst_13 _inst_14 p g) f)
+Case conversion may be inaccurate. Consider using '#align seminorm.comp_comp Seminorm.comp_compₓ'. -/
 theorem comp_comp [RingHomCompTriple σ₁₂ σ₂₃ σ₁₃] (p : Seminorm 𝕜₃ E₃) (g : E₂ →ₛₗ[σ₂₃] E₃)
     (f : E →ₛₗ[σ₁₂] E₂) : p.comp (g.comp f) = (p.comp g).comp f :=
   ext fun _ => rfl
 #align seminorm.comp_comp Seminorm.comp_comp
 
+/- warning: seminorm.add_comp -> Seminorm.add_comp is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {𝕜₂ : Type.{u2}} {E : Type.{u3}} {E₂ : Type.{u4}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : SeminormedRing.{u2} 𝕜₂] {σ₁₂ : RingHom.{u1, u2} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))} [_inst_4 : RingHomIsometric.{u1, u2} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (SeminormedRing.toHasNorm.{u1} 𝕜 _inst_1) (SeminormedRing.toHasNorm.{u2} 𝕜₂ _inst_2) σ₁₂] [_inst_7 : AddCommGroup.{u3} E] [_inst_8 : AddCommGroup.{u4} E₂] [_inst_12 : Module.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)] [_inst_13 : Module.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)] (p : Seminorm.{u2, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))) (q : Seminorm.{u2, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))) (f : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_12 _inst_13), Eq.{succ u3} (Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))) (Seminorm.comp.{u1, u2, u3, u4} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 (HAdd.hAdd.{u4, u4, u4} (Seminorm.{u2, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))) (Seminorm.{u2, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))) (Seminorm.{u2, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))) (instHAdd.{u4} (Seminorm.{u2, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))) (Seminorm.hasAdd.{u2, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13)))))) p q) f) (HAdd.hAdd.{u3, u3, u3} (Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))) (Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))) (Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))) (instHAdd.{u3} (Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))) (Seminorm.hasAdd.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12)))))) (Seminorm.comp.{u1, u2, u3, u4} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 p f) (Seminorm.comp.{u1, u2, u3, u4} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 q f))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {𝕜₂ : Type.{u4}} {E : Type.{u1}} {E₂ : Type.{u3}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_2 : SeminormedRing.{u4} 𝕜₂] {σ₁₂ : RingHom.{u2, u4} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NonAssocRing.toNonAssocSemiring.{u4} 𝕜₂ (Ring.toNonAssocRing.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))} [_inst_4 : RingHomIsometric.{u2, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (SeminormedRing.toNorm.{u2} 𝕜 _inst_1) (SeminormedRing.toNorm.{u4} 𝕜₂ _inst_2) σ₁₂] [_inst_7 : AddCommGroup.{u1} E] [_inst_8 : AddCommGroup.{u3} E₂] [_inst_12 : Module.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7)] [_inst_13 : Module.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8)] (p : Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) (q : Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) (f : LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_12 _inst_13), Eq.{succ u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (Seminorm.comp.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 (HAdd.hAdd.{u3, u3, u3} (Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) (Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) (Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) (instHAdd.{u3} (Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) (Seminorm.instAddSeminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13)))))) p q) f) (HAdd.hAdd.{u1, u1, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (instHAdd.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (Seminorm.instAddSeminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12)))))) (Seminorm.comp.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 p f) (Seminorm.comp.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 q f))
+Case conversion may be inaccurate. Consider using '#align seminorm.add_comp Seminorm.add_compₓ'. -/
 theorem add_comp (p q : Seminorm 𝕜₂ E₂) (f : E →ₛₗ[σ₁₂] E₂) :
     (p + q).comp f = p.comp f + q.comp f :=
   ext fun _ => rfl
 #align seminorm.add_comp Seminorm.add_comp
 
+/- warning: seminorm.comp_add_le -> Seminorm.comp_add_le is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {𝕜₂ : Type.{u2}} {E : Type.{u3}} {E₂ : Type.{u4}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : SeminormedRing.{u2} 𝕜₂] {σ₁₂ : RingHom.{u1, u2} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))} [_inst_4 : RingHomIsometric.{u1, u2} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (SeminormedRing.toHasNorm.{u1} 𝕜 _inst_1) (SeminormedRing.toHasNorm.{u2} 𝕜₂ _inst_2) σ₁₂] [_inst_7 : AddCommGroup.{u3} E] [_inst_8 : AddCommGroup.{u4} E₂] [_inst_12 : Module.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)] [_inst_13 : Module.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)] (p : Seminorm.{u2, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))) (f : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_12 _inst_13) (g : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_12 _inst_13), LE.le.{u3} (Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))) (Preorder.toLE.{u3} (Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))) (PartialOrder.toPreorder.{u3} (Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))) (Seminorm.partialOrder.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))))) (Seminorm.comp.{u1, u2, u3, u4} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 p (HAdd.hAdd.{max u3 u4, max u3 u4, max u3 u4} (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_12 _inst_13) (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_12 _inst_13) (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_12 _inst_13) (instHAdd.{max u3 u4} (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_12 _inst_13) (LinearMap.hasAdd.{u1, u2, u3, u4} 𝕜 𝕜₂ E E₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_12 _inst_13 σ₁₂)) f g)) (HAdd.hAdd.{u3, u3, u3} (Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))) (Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))) (Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))) (instHAdd.{u3} (Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))) (Seminorm.hasAdd.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12)))))) (Seminorm.comp.{u1, u2, u3, u4} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 p f) (Seminorm.comp.{u1, u2, u3, u4} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 p g))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {𝕜₂ : Type.{u4}} {E : Type.{u1}} {E₂ : Type.{u3}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_2 : SeminormedRing.{u4} 𝕜₂] {σ₁₂ : RingHom.{u2, u4} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NonAssocRing.toNonAssocSemiring.{u4} 𝕜₂ (Ring.toNonAssocRing.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))} [_inst_4 : RingHomIsometric.{u2, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (SeminormedRing.toNorm.{u2} 𝕜 _inst_1) (SeminormedRing.toNorm.{u4} 𝕜₂ _inst_2) σ₁₂] [_inst_7 : AddCommGroup.{u1} E] [_inst_8 : AddCommGroup.{u3} E₂] [_inst_12 : Module.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7)] [_inst_13 : Module.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8)] (p : Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) (f : LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_12 _inst_13) (g : LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_12 _inst_13), LE.le.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (Preorder.toLE.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (PartialOrder.toPreorder.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (Seminorm.instPartialOrderSeminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))))) (Seminorm.comp.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 p (HAdd.hAdd.{max u1 u3, max u1 u3, max u1 u3} (LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_12 _inst_13) (LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_12 _inst_13) (LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_12 _inst_13) (instHAdd.{max u1 u3} (LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_12 _inst_13) (LinearMap.instAddLinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_12 _inst_13 σ₁₂)) f g)) (HAdd.hAdd.{u1, u1, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (instHAdd.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (Seminorm.instAddSeminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12)))))) (Seminorm.comp.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 p f) (Seminorm.comp.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 p g))
+Case conversion may be inaccurate. Consider using '#align seminorm.comp_add_le Seminorm.comp_add_leₓ'. -/
 theorem comp_add_le (p : Seminorm 𝕜₂ E₂) (f g : E →ₛₗ[σ₁₂] E₂) :
     p.comp (f + g) ≤ p.comp f + p.comp g := fun _ => map_add_le_add p _ _
 #align seminorm.comp_add_le Seminorm.comp_add_le
 
+/- warning: seminorm.smul_comp -> Seminorm.smul_comp is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {𝕜 : Type.{u2}} {𝕜₂ : Type.{u3}} {E : Type.{u4}} {E₂ : Type.{u5}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_2 : SeminormedRing.{u3} 𝕜₂] {σ₁₂ : RingHom.{u2, u3} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NonAssocRing.toNonAssocSemiring.{u3} 𝕜₂ (Ring.toNonAssocRing.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2)))} [_inst_4 : RingHomIsometric.{u2, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2)) (SeminormedRing.toHasNorm.{u2} 𝕜 _inst_1) (SeminormedRing.toHasNorm.{u3} 𝕜₂ _inst_2) σ₁₂] [_inst_7 : AddCommGroup.{u4} E] [_inst_8 : AddCommGroup.{u5} E₂] [_inst_12 : Module.{u2, u4} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} E _inst_7)] [_inst_13 : Module.{u3, u5} 𝕜₂ E₂ (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u5} E₂ _inst_8)] [_inst_17 : SMul.{u1, 0} R Real] [_inst_18 : SMul.{u1, 0} R NNReal] [_inst_19 : IsScalarTower.{u1, 0, 0} R NNReal Real _inst_18 (SMulZeroClass.toHasSmul.{0, 0} NNReal Real (AddZeroClass.toHasZero.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real Real.addCommMonoid))) (SMulWithZero.toSmulZeroClass.{0, 0} NNReal Real (MulZeroClass.toHasZero.{0} NNReal (MulZeroOneClass.toMulZeroClass.{0} NNReal (MonoidWithZero.toMulZeroOneClass.{0} NNReal (Semiring.toMonoidWithZero.{0} NNReal NNReal.semiring)))) (AddZeroClass.toHasZero.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real Real.addCommMonoid))) (MulActionWithZero.toSMulWithZero.{0, 0} NNReal Real (Semiring.toMonoidWithZero.{0} NNReal NNReal.semiring) (AddZeroClass.toHasZero.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real Real.addCommMonoid))) (Module.toMulActionWithZero.{0, 0} NNReal Real NNReal.semiring Real.addCommMonoid (NNReal.module.{0} Real Real.addCommMonoid Real.module))))) _inst_17] (p : Seminorm.{u3, u5} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u5} E₂ _inst_8) (SMulZeroClass.toHasSmul.{u3, u5} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u5} E₂ (AddMonoid.toAddZeroClass.{u5} E₂ (AddCommMonoid.toAddMonoid.{u5} E₂ (AddCommGroup.toAddCommMonoid.{u5} E₂ _inst_8)))) (SMulWithZero.toSmulZeroClass.{u3, u5} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u3} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u3} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u3} 𝕜₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u5} E₂ (AddMonoid.toAddZeroClass.{u5} E₂ (AddCommMonoid.toAddMonoid.{u5} E₂ (AddCommGroup.toAddCommMonoid.{u5} E₂ _inst_8)))) (MulActionWithZero.toSMulWithZero.{u3, u5} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u5} E₂ (AddMonoid.toAddZeroClass.{u5} E₂ (AddCommMonoid.toAddMonoid.{u5} E₂ (AddCommGroup.toAddCommMonoid.{u5} E₂ _inst_8)))) (Module.toMulActionWithZero.{u3, u5} 𝕜₂ E₂ (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u5} E₂ _inst_8) _inst_13))))) (f : LinearMap.{u2, u3, u4, u5} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u4} E _inst_7) (AddCommGroup.toAddCommMonoid.{u5} E₂ _inst_8) _inst_12 _inst_13) (c : R), Eq.{succ u4} (Seminorm.{u2, u4} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u4} E _inst_7) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜 E (AddZeroClass.toHasZero.{u4} E (AddMonoid.toAddZeroClass.{u4} E (AddCommMonoid.toAddMonoid.{u4} E (AddCommGroup.toAddCommMonoid.{u4} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜 E (MulZeroClass.toHasZero.{u2} 𝕜 (MulZeroOneClass.toMulZeroClass.{u2} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u4} E (AddMonoid.toAddZeroClass.{u4} E (AddCommMonoid.toAddMonoid.{u4} E (AddCommGroup.toAddCommMonoid.{u4} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u4} E (AddMonoid.toAddZeroClass.{u4} E (AddCommMonoid.toAddMonoid.{u4} E (AddCommGroup.toAddCommMonoid.{u4} E _inst_7)))) (Module.toMulActionWithZero.{u2, u4} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} E _inst_7) _inst_12))))) (Seminorm.comp.{u2, u3, u4, u5} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 (SMul.smul.{u1, u5} R (Seminorm.{u3, u5} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u5} E₂ _inst_8) (SMulZeroClass.toHasSmul.{u3, u5} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u5} E₂ (AddMonoid.toAddZeroClass.{u5} E₂ (AddCommMonoid.toAddMonoid.{u5} E₂ (AddCommGroup.toAddCommMonoid.{u5} E₂ _inst_8)))) (SMulWithZero.toSmulZeroClass.{u3, u5} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u3} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u3} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u3} 𝕜₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u5} E₂ (AddMonoid.toAddZeroClass.{u5} E₂ (AddCommMonoid.toAddMonoid.{u5} E₂ (AddCommGroup.toAddCommMonoid.{u5} E₂ _inst_8)))) (MulActionWithZero.toSMulWithZero.{u3, u5} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u5} E₂ (AddMonoid.toAddZeroClass.{u5} E₂ (AddCommMonoid.toAddMonoid.{u5} E₂ (AddCommGroup.toAddCommMonoid.{u5} E₂ _inst_8)))) (Module.toMulActionWithZero.{u3, u5} 𝕜₂ E₂ (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u5} E₂ _inst_8) _inst_13))))) (Seminorm.hasSmul.{u1, u3, u5} R 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u5} E₂ _inst_8) (SMulZeroClass.toHasSmul.{u3, u5} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u5} E₂ (AddMonoid.toAddZeroClass.{u5} E₂ (AddCommMonoid.toAddMonoid.{u5} E₂ (AddCommGroup.toAddCommMonoid.{u5} E₂ _inst_8)))) (SMulWithZero.toSmulZeroClass.{u3, u5} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u3} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u3} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u3} 𝕜₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u5} E₂ (AddMonoid.toAddZeroClass.{u5} E₂ (AddCommMonoid.toAddMonoid.{u5} E₂ (AddCommGroup.toAddCommMonoid.{u5} E₂ _inst_8)))) (MulActionWithZero.toSMulWithZero.{u3, u5} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u5} E₂ (AddMonoid.toAddZeroClass.{u5} E₂ (AddCommMonoid.toAddMonoid.{u5} E₂ (AddCommGroup.toAddCommMonoid.{u5} E₂ _inst_8)))) (Module.toMulActionWithZero.{u3, u5} 𝕜₂ E₂ (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u5} E₂ _inst_8) _inst_13)))) _inst_17 _inst_18 _inst_19) c p) f) (SMul.smul.{u1, u4} R (Seminorm.{u2, u4} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u4} E _inst_7) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜 E (AddZeroClass.toHasZero.{u4} E (AddMonoid.toAddZeroClass.{u4} E (AddCommMonoid.toAddMonoid.{u4} E (AddCommGroup.toAddCommMonoid.{u4} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜 E (MulZeroClass.toHasZero.{u2} 𝕜 (MulZeroOneClass.toMulZeroClass.{u2} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u4} E (AddMonoid.toAddZeroClass.{u4} E (AddCommMonoid.toAddMonoid.{u4} E (AddCommGroup.toAddCommMonoid.{u4} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u4} E (AddMonoid.toAddZeroClass.{u4} E (AddCommMonoid.toAddMonoid.{u4} E (AddCommGroup.toAddCommMonoid.{u4} E _inst_7)))) (Module.toMulActionWithZero.{u2, u4} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} E _inst_7) _inst_12))))) (Seminorm.hasSmul.{u1, u2, u4} R 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u4} E _inst_7) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜 E (AddZeroClass.toHasZero.{u4} E (AddMonoid.toAddZeroClass.{u4} E (AddCommMonoid.toAddMonoid.{u4} E (AddCommGroup.toAddCommMonoid.{u4} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜 E (MulZeroClass.toHasZero.{u2} 𝕜 (MulZeroOneClass.toMulZeroClass.{u2} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u4} E (AddMonoid.toAddZeroClass.{u4} E (AddCommMonoid.toAddMonoid.{u4} E (AddCommGroup.toAddCommMonoid.{u4} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u4} E (AddMonoid.toAddZeroClass.{u4} E (AddCommMonoid.toAddMonoid.{u4} E (AddCommGroup.toAddCommMonoid.{u4} E _inst_7)))) (Module.toMulActionWithZero.{u2, u4} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u4} E _inst_7) _inst_12)))) _inst_17 _inst_18 _inst_19) c (Seminorm.comp.{u2, u3, u4, u5} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 p f))
+but is expected to have type
+  forall {R : Type.{u1}} {𝕜 : Type.{u3}} {𝕜₂ : Type.{u5}} {E : Type.{u2}} {E₂ : Type.{u4}} [_inst_1 : SeminormedRing.{u3} 𝕜] [_inst_2 : SeminormedRing.{u5} 𝕜₂] {σ₁₂ : RingHom.{u3, u5} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u3} 𝕜 (Ring.toNonAssocRing.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NonAssocRing.toNonAssocSemiring.{u5} 𝕜₂ (Ring.toNonAssocRing.{u5} 𝕜₂ (SeminormedRing.toRing.{u5} 𝕜₂ _inst_2)))} [_inst_4 : RingHomIsometric.{u3, u5} 𝕜 𝕜₂ (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (Ring.toSemiring.{u5} 𝕜₂ (SeminormedRing.toRing.{u5} 𝕜₂ _inst_2)) (SeminormedRing.toNorm.{u3} 𝕜 _inst_1) (SeminormedRing.toNorm.{u5} 𝕜₂ _inst_2) σ₁₂] [_inst_7 : AddCommGroup.{u2} E] [_inst_8 : AddCommGroup.{u4} E₂] [_inst_12 : Module.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)] [_inst_13 : Module.{u5, u4} 𝕜₂ E₂ (Ring.toSemiring.{u5} 𝕜₂ (SeminormedRing.toRing.{u5} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)] [_inst_17 : SMul.{u1, 0} R Real] [_inst_18 : SMul.{u1, 0} R NNReal] [_inst_19 : IsScalarTower.{u1, 0, 0} R NNReal Real _inst_18 Seminorm.smul_nnreal_real _inst_17] (p : Seminorm.{u5, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toSMul.{u5, u4} 𝕜₂ E₂ (NegZeroClass.toZero.{u4} E₂ (SubNegZeroMonoid.toNegZeroClass.{u4} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u4} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u4} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u4} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u5, u4} 𝕜₂ E₂ (MonoidWithZero.toZero.{u5} 𝕜₂ (Semiring.toMonoidWithZero.{u5} 𝕜₂ (Ring.toSemiring.{u5} 𝕜₂ (SeminormedRing.toRing.{u5} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u4} E₂ (SubNegZeroMonoid.toNegZeroClass.{u4} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u4} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u4} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u4} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u5, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u5} 𝕜₂ (Ring.toSemiring.{u5} 𝕜₂ (SeminormedRing.toRing.{u5} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u4} E₂ (SubNegZeroMonoid.toNegZeroClass.{u4} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u4} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u4} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u4} E₂ _inst_8))))) (Module.toMulActionWithZero.{u5, u4} 𝕜₂ E₂ (Ring.toSemiring.{u5} 𝕜₂ (SeminormedRing.toRing.{u5} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))) (f : LinearMap.{u3, u5, u2, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (Ring.toSemiring.{u5} 𝕜₂ (SeminormedRing.toRing.{u5} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_12 _inst_13) (c : R), Eq.{succ u2} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Seminorm.comp.{u3, u5, u2, u4} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 (HSMul.hSMul.{u1, u4, u4} R (Seminorm.{u5, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toSMul.{u5, u4} 𝕜₂ E₂ (NegZeroClass.toZero.{u4} E₂ (SubNegZeroMonoid.toNegZeroClass.{u4} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u4} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u4} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u4} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u5, u4} 𝕜₂ E₂ (MonoidWithZero.toZero.{u5} 𝕜₂ (Semiring.toMonoidWithZero.{u5} 𝕜₂ (Ring.toSemiring.{u5} 𝕜₂ (SeminormedRing.toRing.{u5} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u4} E₂ (SubNegZeroMonoid.toNegZeroClass.{u4} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u4} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u4} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u4} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u5, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u5} 𝕜₂ (Ring.toSemiring.{u5} 𝕜₂ (SeminormedRing.toRing.{u5} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u4} E₂ (SubNegZeroMonoid.toNegZeroClass.{u4} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u4} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u4} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u4} E₂ _inst_8))))) (Module.toMulActionWithZero.{u5, u4} 𝕜₂ E₂ (Ring.toSemiring.{u5} 𝕜₂ (SeminormedRing.toRing.{u5} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))) (Seminorm.{u5, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toSMul.{u5, u4} 𝕜₂ E₂ (NegZeroClass.toZero.{u4} E₂ (SubNegZeroMonoid.toNegZeroClass.{u4} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u4} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u4} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u4} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u5, u4} 𝕜₂ E₂ (MonoidWithZero.toZero.{u5} 𝕜₂ (Semiring.toMonoidWithZero.{u5} 𝕜₂ (Ring.toSemiring.{u5} 𝕜₂ (SeminormedRing.toRing.{u5} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u4} E₂ (SubNegZeroMonoid.toNegZeroClass.{u4} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u4} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u4} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u4} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u5, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u5} 𝕜₂ (Ring.toSemiring.{u5} 𝕜₂ (SeminormedRing.toRing.{u5} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u4} E₂ (SubNegZeroMonoid.toNegZeroClass.{u4} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u4} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u4} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u4} E₂ _inst_8))))) (Module.toMulActionWithZero.{u5, u4} 𝕜₂ E₂ (Ring.toSemiring.{u5} 𝕜₂ (SeminormedRing.toRing.{u5} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))) (instHSMul.{u1, u4} R (Seminorm.{u5, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toSMul.{u5, u4} 𝕜₂ E₂ (NegZeroClass.toZero.{u4} E₂ (SubNegZeroMonoid.toNegZeroClass.{u4} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u4} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u4} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u4} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u5, u4} 𝕜₂ E₂ (MonoidWithZero.toZero.{u5} 𝕜₂ (Semiring.toMonoidWithZero.{u5} 𝕜₂ (Ring.toSemiring.{u5} 𝕜₂ (SeminormedRing.toRing.{u5} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u4} E₂ (SubNegZeroMonoid.toNegZeroClass.{u4} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u4} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u4} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u4} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u5, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u5} 𝕜₂ (Ring.toSemiring.{u5} 𝕜₂ (SeminormedRing.toRing.{u5} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u4} E₂ (SubNegZeroMonoid.toNegZeroClass.{u4} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u4} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u4} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u4} E₂ _inst_8))))) (Module.toMulActionWithZero.{u5, u4} 𝕜₂ E₂ (Ring.toSemiring.{u5} 𝕜₂ (SeminormedRing.toRing.{u5} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))) (Seminorm.smul.{u1, u5, u4} R 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toSMul.{u5, u4} 𝕜₂ E₂ (NegZeroClass.toZero.{u4} E₂ (SubNegZeroMonoid.toNegZeroClass.{u4} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u4} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u4} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u4} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u5, u4} 𝕜₂ E₂ (MonoidWithZero.toZero.{u5} 𝕜₂ (Semiring.toMonoidWithZero.{u5} 𝕜₂ (Ring.toSemiring.{u5} 𝕜₂ (SeminormedRing.toRing.{u5} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u4} E₂ (SubNegZeroMonoid.toNegZeroClass.{u4} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u4} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u4} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u4} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u5, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u5} 𝕜₂ (Ring.toSemiring.{u5} 𝕜₂ (SeminormedRing.toRing.{u5} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u4} E₂ (SubNegZeroMonoid.toNegZeroClass.{u4} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u4} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u4} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u4} E₂ _inst_8))))) (Module.toMulActionWithZero.{u5, u4} 𝕜₂ E₂ (Ring.toSemiring.{u5} 𝕜₂ (SeminormedRing.toRing.{u5} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13)))) _inst_17 _inst_18 _inst_19)) c p) f) (HSMul.hSMul.{u1, u2, u2} R (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (instHSMul.{u1, u2} R (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Seminorm.smul.{u1, u3, u2} R 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))) _inst_17 _inst_18 _inst_19)) c (Seminorm.comp.{u3, u5, u2, u4} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 p f))
+Case conversion may be inaccurate. Consider using '#align seminorm.smul_comp Seminorm.smul_compₓ'. -/
 theorem smul_comp (p : Seminorm 𝕜₂ E₂) (f : E →ₛₗ[σ₁₂] E₂) (c : R) :
     (c • p).comp f = c • p.comp f :=
   ext fun _ => rfl
 #align seminorm.smul_comp Seminorm.smul_comp
 
+/- warning: seminorm.comp_mono -> Seminorm.comp_mono is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {𝕜₂ : Type.{u2}} {E : Type.{u3}} {E₂ : Type.{u4}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : SeminormedRing.{u2} 𝕜₂] {σ₁₂ : RingHom.{u1, u2} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))} [_inst_4 : RingHomIsometric.{u1, u2} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (SeminormedRing.toHasNorm.{u1} 𝕜 _inst_1) (SeminormedRing.toHasNorm.{u2} 𝕜₂ _inst_2) σ₁₂] [_inst_7 : AddCommGroup.{u3} E] [_inst_8 : AddCommGroup.{u4} E₂] [_inst_12 : Module.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)] [_inst_13 : Module.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)] {p : Seminorm.{u2, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))} {q : Seminorm.{u2, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))} (f : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_12 _inst_13), (LE.le.{u4} (Seminorm.{u2, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))) (Preorder.toLE.{u4} (Seminorm.{u2, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))) (PartialOrder.toPreorder.{u4} (Seminorm.{u2, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))) (Seminorm.partialOrder.{u2, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))))) p q) -> (LE.le.{u3} (Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))) (Preorder.toLE.{u3} (Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))) (PartialOrder.toPreorder.{u3} (Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))) (Seminorm.partialOrder.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))))) (Seminorm.comp.{u1, u2, u3, u4} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 p f) (Seminorm.comp.{u1, u2, u3, u4} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 q f))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {𝕜₂ : Type.{u4}} {E : Type.{u1}} {E₂ : Type.{u3}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_2 : SeminormedRing.{u4} 𝕜₂] {σ₁₂ : RingHom.{u2, u4} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NonAssocRing.toNonAssocSemiring.{u4} 𝕜₂ (Ring.toNonAssocRing.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))} [_inst_4 : RingHomIsometric.{u2, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (SeminormedRing.toNorm.{u2} 𝕜 _inst_1) (SeminormedRing.toNorm.{u4} 𝕜₂ _inst_2) σ₁₂] [_inst_7 : AddCommGroup.{u1} E] [_inst_8 : AddCommGroup.{u3} E₂] [_inst_12 : Module.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7)] [_inst_13 : Module.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8)] {p : Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))} {q : Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))} (f : LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_12 _inst_13), (LE.le.{u3} (Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) (Preorder.toLE.{u3} (Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) (PartialOrder.toPreorder.{u3} (Seminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))) (Seminorm.instPartialOrderSeminorm.{u4, u3} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u3} E₂ _inst_8) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_8))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_8) _inst_13))))))) p q) -> (LE.le.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (Preorder.toLE.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (PartialOrder.toPreorder.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (Seminorm.instPartialOrderSeminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))))) (Seminorm.comp.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 p f) (Seminorm.comp.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ _inst_1 _inst_2 σ₁₂ _inst_4 _inst_7 _inst_8 _inst_12 _inst_13 q f))
+Case conversion may be inaccurate. Consider using '#align seminorm.comp_mono Seminorm.comp_monoₓ'. -/
 theorem comp_mono {p q : Seminorm 𝕜₂ E₂} (f : E →ₛₗ[σ₁₂] E₂) (hp : p ≤ q) : p.comp f ≤ q.comp f :=
   fun _ => hp _
 #align seminorm.comp_mono Seminorm.comp_mono
 
+/- warning: seminorm.pullback -> Seminorm.pullback is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {𝕜₂ : Type.{u2}} {E : Type.{u3}} {E₂ : Type.{u4}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : SeminormedRing.{u2} 𝕜₂] {σ₁₂ : RingHom.{u1, u2} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))} [_inst_4 : RingHomIsometric.{u1, u2} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (SeminormedRing.toHasNorm.{u1} 𝕜 _inst_1) (SeminormedRing.toHasNorm.{u2} 𝕜₂ _inst_2) σ₁₂] [_inst_7 : AddCommGroup.{u3} E] [_inst_8 : AddCommGroup.{u4} E₂] [_inst_12 : Module.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)] [_inst_13 : Module.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)], (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_12 _inst_13) -> (AddMonoidHom.{u4, u3} (Seminorm.{u2, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))) (Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))) (AddMonoid.toAddZeroClass.{u4} (Seminorm.{u2, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))) (Seminorm.addMonoid.{u2, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13)))))) (AddMonoid.toAddZeroClass.{u3} (Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))) (Seminorm.addMonoid.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12)))))))
+but is expected to have type
+  forall {𝕜 : Type.{u1}} {𝕜₂ : Type.{u2}} {E : Type.{u3}} {E₂ : Type.{u4}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : SeminormedRing.{u2} 𝕜₂] {σ₁₂ : RingHom.{u1, u2} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))} [_inst_4 : RingHomIsometric.{u1, u2} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (SeminormedRing.toNorm.{u1} 𝕜 _inst_1) (SeminormedRing.toNorm.{u2} 𝕜₂ _inst_2) σ₁₂] [_inst_7 : AddCommGroup.{u3} E] [_inst_8 : AddCommGroup.{u4} E₂] [_inst_12 : Module.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7)] [_inst_13 : Module.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8)], (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_12 _inst_13) -> (AddMonoidHom.{u4, u3} (Seminorm.{u2, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toSMul.{u2, u4} 𝕜₂ E₂ (NegZeroClass.toZero.{u4} E₂ (SubNegZeroMonoid.toNegZeroClass.{u4} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u4} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u4} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u4} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u2, u4} 𝕜₂ E₂ (MonoidWithZero.toZero.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u4} E₂ (SubNegZeroMonoid.toNegZeroClass.{u4} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u4} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u4} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u4} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u4} E₂ (SubNegZeroMonoid.toNegZeroClass.{u4} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u4} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u4} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u4} E₂ _inst_8))))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))) (Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toSMul.{u1, u3} 𝕜 E (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u3} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_7))))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))) (AddMonoid.toAddZeroClass.{u4} (Seminorm.{u2, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toSMul.{u2, u4} 𝕜₂ E₂ (NegZeroClass.toZero.{u4} E₂ (SubNegZeroMonoid.toNegZeroClass.{u4} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u4} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u4} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u4} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u2, u4} 𝕜₂ E₂ (MonoidWithZero.toZero.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u4} E₂ (SubNegZeroMonoid.toNegZeroClass.{u4} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u4} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u4} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u4} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u4} E₂ (SubNegZeroMonoid.toNegZeroClass.{u4} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u4} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u4} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u4} E₂ _inst_8))))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13))))) (Seminorm.instAddMonoidSeminorm.{u2, u4} 𝕜₂ E₂ _inst_2 (AddCommGroup.toAddGroup.{u4} E₂ _inst_8) (SMulZeroClass.toSMul.{u2, u4} 𝕜₂ E₂ (NegZeroClass.toZero.{u4} E₂ (SubNegZeroMonoid.toNegZeroClass.{u4} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u4} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u4} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u4} E₂ _inst_8))))) (SMulWithZero.toSMulZeroClass.{u2, u4} 𝕜₂ E₂ (MonoidWithZero.toZero.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u4} E₂ (SubNegZeroMonoid.toNegZeroClass.{u4} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u4} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u4} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u4} E₂ _inst_8))))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (NegZeroClass.toZero.{u4} E₂ (SubNegZeroMonoid.toNegZeroClass.{u4} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u4} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u4} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u4} E₂ _inst_8))))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_8) _inst_13)))))) (AddMonoid.toAddZeroClass.{u3} (Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toSMul.{u1, u3} 𝕜 E (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u3} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_7))))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12))))) (Seminorm.instAddMonoidSeminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_7) (SMulZeroClass.toSMul.{u1, u3} 𝕜 E (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u3} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_7))))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_7) _inst_12)))))))
+Case conversion may be inaccurate. Consider using '#align seminorm.pullback Seminorm.pullbackₓ'. -/
 /-- The composition as an `add_monoid_hom`. -/
 @[simps]
 def pullback (f : E →ₛₗ[σ₁₂] E₂) : Seminorm 𝕜₂ E₂ →+ Seminorm 𝕜 E :=
@@ -363,15 +545,33 @@ def pullback (f : E →ₛₗ[σ₁₂] E₂) : Seminorm 𝕜₂ E₂ →+ Semin
 instance : OrderBot (Seminorm 𝕜 E) :=
   ⟨0, map_nonneg⟩
 
+/- warning: seminorm.coe_bot -> Seminorm.coe_bot is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_7 : AddCommGroup.{u2} E] [_inst_12 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)], Eq.{succ u2} (E -> Real) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) 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(Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Seminorm.partialOrder.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))))) (Seminorm.orderBot.{u1, u2} 𝕜 E _inst_1 _inst_7 _inst_12)))) (OfNat.ofNat.{u2} (E -> Real) 0 (OfNat.mk.{u2} (E -> Real) 0 (Zero.zero.{u2} (E -> Real) (Pi.instZero.{u2, 0} E (fun (ᾰ : E) => Real) (fun (i : E) => Real.hasZero)))))
+but is expected to have type
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_7 : AddCommGroup.{u2} E] [_inst_12 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)], Eq.{succ u2} (forall (ᾰ : E), (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) ᾰ) (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_7))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_7) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))) (Seminorm.seminormClass.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))))))) (Bot.bot.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (OrderBot.toBot.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Preorder.toLE.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (PartialOrder.toPreorder.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Seminorm.instPartialOrderSeminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))))) (Seminorm.instOrderBotSeminormToAddGroupToSMulToZeroToNegZeroClassToSubNegZeroMonoidToSubtractionMonoidToDivisionAddCommMonoidToSMulZeroClassToZeroToMonoidWithZeroToSemiringToRingToSMulWithZeroToMulActionWithZeroToAddCommMonoidToLEToPreorderInstPartialOrderSeminorm.{u1, u2} 𝕜 E _inst_1 _inst_7 _inst_12)))) (OfNat.ofNat.{u2} (forall (ᾰ : E), (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) ᾰ) 0 (Zero.toOfNat0.{u2} (forall (a : E), (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) a) (Pi.instZero.{u2, 0} E (fun (a : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) a) (fun (i : E) => Real.instZeroReal))))
+Case conversion may be inaccurate. Consider using '#align seminorm.coe_bot Seminorm.coe_botₓ'. -/
 @[simp]
 theorem coe_bot : ⇑(⊥ : Seminorm 𝕜 E) = 0 :=
   rfl
 #align seminorm.coe_bot Seminorm.coe_bot
 
+/- warning: seminorm.bot_eq_zero -> Seminorm.bot_eq_zero is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_7 : AddCommGroup.{u2} E] [_inst_12 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)], Eq.{succ u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Bot.bot.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (OrderBot.toHasBot.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Preorder.toLE.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (PartialOrder.toPreorder.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Seminorm.partialOrder.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))))) (Seminorm.orderBot.{u1, u2} 𝕜 E _inst_1 _inst_7 _inst_12))) (OfNat.ofNat.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) 0 (OfNat.mk.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) 0 (Zero.zero.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Seminorm.hasZero.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))))))
+but is expected to have type
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_7 : AddCommGroup.{u2} E] [_inst_12 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)], Eq.{succ u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Bot.bot.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (OrderBot.toBot.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Preorder.toLE.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (PartialOrder.toPreorder.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Seminorm.instPartialOrderSeminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))))) (Seminorm.instOrderBotSeminormToAddGroupToSMulToZeroToNegZeroClassToSubNegZeroMonoidToSubtractionMonoidToDivisionAddCommMonoidToSMulZeroClassToZeroToMonoidWithZeroToSemiringToRingToSMulWithZeroToMulActionWithZeroToAddCommMonoidToLEToPreorderInstPartialOrderSeminorm.{u1, u2} 𝕜 E _inst_1 _inst_7 _inst_12))) (OfNat.ofNat.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) 0 (Zero.toOfNat0.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Seminorm.instZeroSeminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))))))
+Case conversion may be inaccurate. Consider using '#align seminorm.bot_eq_zero Seminorm.bot_eq_zeroₓ'. -/
 theorem bot_eq_zero : (⊥ : Seminorm 𝕜 E) = 0 :=
   rfl
 #align seminorm.bot_eq_zero Seminorm.bot_eq_zero
 
+/- warning: seminorm.smul_le_smul -> Seminorm.smul_le_smul is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_7 : AddCommGroup.{u2} E] [_inst_12 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)] {p : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))} {q : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))} {a : NNReal} {b : NNReal}, (LE.le.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Preorder.toLE.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (PartialOrder.toPreorder.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Seminorm.partialOrder.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))))) p q) -> (LE.le.{0} NNReal (Preorder.toLE.{0} NNReal (PartialOrder.toPreorder.{0} NNReal (OrderedCancelAddCommMonoid.toPartialOrder.{0} NNReal (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} NNReal NNReal.strictOrderedSemiring)))) a b) -> (LE.le.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Preorder.toLE.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (PartialOrder.toPreorder.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Seminorm.partialOrder.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))))) (SMul.smul.{0, u2} NNReal (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Seminorm.hasSmul.{0, u1, u2} NNReal 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))) (MulAction.toHasSmul.{0, 0} NNReal Real (MonoidWithZero.toMonoid.{0} NNReal (Semiring.toMonoidWithZero.{0} NNReal NNReal.semiring)) (NNReal.mulAction.{0} Real (Monoid.toMulAction.{0} Real Real.monoid))) (Mul.toSMul.{0} NNReal (MulOneClass.toHasMul.{0} NNReal (Monoid.toMulOneClass.{0} NNReal (MonoidWithZero.toMonoid.{0} NNReal (Semiring.toMonoidWithZero.{0} NNReal NNReal.semiring))))) (IsScalarTower.left.{0, 0} NNReal Real (MonoidWithZero.toMonoid.{0} NNReal (Semiring.toMonoidWithZero.{0} NNReal NNReal.semiring)) (NNReal.mulAction.{0} Real (Monoid.toMulAction.{0} Real Real.monoid)))) a p) (SMul.smul.{0, u2} NNReal (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Seminorm.hasSmul.{0, u1, u2} NNReal 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))) (MulAction.toHasSmul.{0, 0} NNReal Real (MonoidWithZero.toMonoid.{0} NNReal (Semiring.toMonoidWithZero.{0} NNReal NNReal.semiring)) (NNReal.mulAction.{0} Real (Monoid.toMulAction.{0} Real Real.monoid))) (Mul.toSMul.{0} NNReal (MulOneClass.toHasMul.{0} NNReal (Monoid.toMulOneClass.{0} NNReal (MonoidWithZero.toMonoid.{0} NNReal (Semiring.toMonoidWithZero.{0} NNReal NNReal.semiring))))) (IsScalarTower.left.{0, 0} NNReal Real (MonoidWithZero.toMonoid.{0} NNReal (Semiring.toMonoidWithZero.{0} NNReal NNReal.semiring)) (NNReal.mulAction.{0} Real (Monoid.toMulAction.{0} Real Real.monoid)))) b q))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_7 : AddCommGroup.{u1} E] [_inst_12 : Module.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7)] {p : Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))} {q : Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))} {a : NNReal} {b : NNReal}, (LE.le.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (Preorder.toLE.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (PartialOrder.toPreorder.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (Seminorm.instPartialOrderSeminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))))) p q) -> (LE.le.{0} NNReal (Preorder.toLE.{0} NNReal (PartialOrder.toPreorder.{0} NNReal (StrictOrderedSemiring.toPartialOrder.{0} NNReal instNNRealStrictOrderedSemiring))) a b) -> (LE.le.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (Preorder.toLE.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (PartialOrder.toPreorder.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (Seminorm.instPartialOrderSeminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))))) (HSMul.hSMul.{0, u1, u1} NNReal (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (instHSMul.{0, u1} NNReal (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (Seminorm.smul.{0, u2, u1} NNReal 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12)))) Seminorm.smul_nnreal_real (Algebra.toSMul.{0, 0} NNReal NNReal instNNRealCommSemiring instNNRealSemiring (Algebra.id.{0} NNReal instNNRealCommSemiring)) (IsScalarTower.left.{0, 0} NNReal Real (MonoidWithZero.toMonoid.{0} NNReal (Semiring.toMonoidWithZero.{0} NNReal instNNRealSemiring)) (NNReal.instMulActionNNRealToMonoidToMonoidWithZeroInstNNRealSemiring.{0} Real (MulActionWithZero.toMulAction.{0, 0} Real Real Real.instMonoidWithZeroReal Real.instZeroReal (MonoidWithZero.toMulActionWithZero.{0} Real Real.instMonoidWithZeroReal)))))) a p) (HSMul.hSMul.{0, u1, u1} NNReal (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (instHSMul.{0, u1} NNReal (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (Seminorm.smul.{0, u2, u1} NNReal 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12)))) Seminorm.smul_nnreal_real (Algebra.toSMul.{0, 0} NNReal NNReal instNNRealCommSemiring instNNRealSemiring (Algebra.id.{0} NNReal instNNRealCommSemiring)) (IsScalarTower.left.{0, 0} NNReal Real (MonoidWithZero.toMonoid.{0} NNReal (Semiring.toMonoidWithZero.{0} NNReal instNNRealSemiring)) (NNReal.instMulActionNNRealToMonoidToMonoidWithZeroInstNNRealSemiring.{0} Real (MulActionWithZero.toMulAction.{0, 0} Real Real Real.instMonoidWithZeroReal Real.instZeroReal (MonoidWithZero.toMulActionWithZero.{0} Real Real.instMonoidWithZeroReal)))))) b q))
+Case conversion may be inaccurate. Consider using '#align seminorm.smul_le_smul Seminorm.smul_le_smulₓ'. -/
 theorem smul_le_smul {p q : Seminorm 𝕜 E} {a b : ℝ≥0} (hpq : p ≤ q) (hab : a ≤ b) : a • p ≤ b • q :=
   by
   simp_rw [le_def, coe_smul]
@@ -380,6 +580,12 @@ theorem smul_le_smul {p q : Seminorm 𝕜 E} {a b : ℝ≥0} (hpq : p ≤ q) (ha
   exact mul_le_mul hab (hpq x) (map_nonneg p x) (NNReal.coe_nonneg b)
 #align seminorm.smul_le_smul Seminorm.smul_le_smul
 
+/- warning: seminorm.finset_sup_apply -> Seminorm.finset_sup_apply is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} {ι : Type.{u3}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_7 : AddCommGroup.{u2} E] [_inst_12 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)] (p : ι -> (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))))) (s : Finset.{u3} ι) (x : E), Eq.{1} Real (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (fun (_x : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Finset.sup.{u2, u3} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) ι (Seminorm.semilatticeSup.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Seminorm.orderBot.{u1, u2} 𝕜 E _inst_1 _inst_7 _inst_12) s p) x) ((fun (a : Type) (b : Type) [self : HasLiftT.{1, 1} a b] => self.0) NNReal Real (HasLiftT.mk.{1, 1} NNReal Real (CoeTCₓ.coe.{1, 1} NNReal Real (coeBase.{1, 1} NNReal Real NNReal.Real.hasCoe))) (Finset.sup.{0, u3} NNReal ι NNReal.semilatticeSup NNReal.orderBot s (fun (i : ι) => Subtype.mk.{1} Real (fun (r : Real) => LE.le.{0} Real Real.hasLe (OfNat.ofNat.{0} Real 0 (OfNat.mk.{0} Real 0 (Zero.zero.{0} Real Real.hasZero))) r) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (fun (_x : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (p i) x) (NonnegHomClass.map_nonneg.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) E Real Real.hasZero Real.hasLe (AddGroupSeminormClass.toNonnegHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_7) (LinearOrderedSemiring.toLinearOrderedAddCommMonoid.{0} Real Real.linearOrderedSemiring) (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))) (Seminorm.seminormClass.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))))) (p i) x))))
+but is expected to have type
+  forall {𝕜 : Type.{u3}} {E : Type.{u2}} {ι : Type.{u1}} [_inst_1 : SeminormedRing.{u3} 𝕜] [_inst_7 : AddCommGroup.{u2} E] [_inst_12 : Module.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)] (p : ι -> (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))))) (s : Finset.{u1} ι) (x : E), Eq.{1} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) x) (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_7))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_7) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u3, u2} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))) (Seminorm.seminormClass.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))))))) (Finset.sup.{u2, u1} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) ι (Seminorm.semilatticeSup.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Seminorm.instOrderBotSeminormToAddGroupToSMulToZeroToNegZeroClassToSubNegZeroMonoidToSubtractionMonoidToDivisionAddCommMonoidToSMulZeroClassToZeroToMonoidWithZeroToSemiringToRingToSMulWithZeroToMulActionWithZeroToAddCommMonoidToLEToPreorderInstPartialOrderSeminorm.{u3, u2} 𝕜 E _inst_1 _inst_7 _inst_12) s p) x) (NNReal.toReal (Finset.sup.{0, u1} NNReal ι instNNRealSemilatticeSup NNReal.instOrderBotNNRealToLEToPreorderToPartialOrderInstNNRealStrictOrderedSemiring s (fun (i : ι) => Subtype.mk.{1} Real (fun (r : Real) => LE.le.{0} Real Real.instLEReal (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) r) (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_7))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_7) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u3, u2} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))) (Seminorm.seminormClass.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))))))) (p i) x) (NonnegHomClass.map_nonneg.{u2, u2, 0} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) E Real (AddMonoid.toZero.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (LinearOrderedAddCommMonoid.toAddCommMonoid.{0} Real (LinearOrderedSemiring.toLinearOrderedAddCommMonoid.{0} Real Real.instLinearOrderedSemiringReal)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real (LinearOrderedAddCommMonoid.toOrderedAddCommMonoid.{0} Real (LinearOrderedSemiring.toLinearOrderedAddCommMonoid.{0} Real Real.instLinearOrderedSemiringReal))))) (AddGroupSeminormClass.toNonnegHomClass.{u2, u2, 0} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_7) (LinearOrderedSemiring.toLinearOrderedAddCommMonoid.{0} Real Real.instLinearOrderedSemiringReal) (SeminormClass.toAddGroupSeminormClass.{u2, u3, u2} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))) (Seminorm.seminormClass.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))))) (p i) x))))
+Case conversion may be inaccurate. Consider using '#align seminorm.finset_sup_apply Seminorm.finset_sup_applyₓ'. -/
 theorem finset_sup_apply (p : ι → Seminorm 𝕜 E) (s : Finset ι) (x : E) :
     s.sup p x = ↑(s.sup fun i => ⟨p i x, map_nonneg (p i) x⟩ : ℝ≥0) :=
   by
@@ -392,6 +598,12 @@ theorem finset_sup_apply (p : ι → Seminorm 𝕜 E) (s : Finset ι) (x : E) :
       NNReal.coe_max, Subtype.coe_mk, ih]
 #align seminorm.finset_sup_apply Seminorm.finset_sup_apply
 
+/- warning: seminorm.finset_sup_le_sum -> Seminorm.finset_sup_le_sum is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} {ι : Type.{u3}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_7 : AddCommGroup.{u2} E] [_inst_12 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)] (p : ι -> (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))))) (s : Finset.{u3} ι), LE.le.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Preorder.toLE.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (PartialOrder.toPreorder.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Seminorm.partialOrder.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))))) (Finset.sup.{u2, u3} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) ι (Seminorm.semilatticeSup.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Seminorm.orderBot.{u1, u2} 𝕜 E _inst_1 _inst_7 _inst_12) s p) (Finset.sum.{u2, u3} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) ι (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Seminorm.orderedCancelAddCommMonoid.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))))) s (fun (i : ι) => p i))
+but is expected to have type
+  forall {𝕜 : Type.{u3}} {E : Type.{u2}} {ι : Type.{u1}} [_inst_1 : SeminormedRing.{u3} 𝕜] [_inst_7 : AddCommGroup.{u2} E] [_inst_12 : Module.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)] (p : ι -> (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))))) (s : Finset.{u1} ι), LE.le.{u2} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Preorder.toLE.{u2} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (PartialOrder.toPreorder.{u2} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Seminorm.instPartialOrderSeminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))))) (Finset.sup.{u2, u1} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) ι (Seminorm.semilatticeSup.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Seminorm.instOrderBotSeminormToAddGroupToSMulToZeroToNegZeroClassToSubNegZeroMonoidToSubtractionMonoidToDivisionAddCommMonoidToSMulZeroClassToZeroToMonoidWithZeroToSemiringToRingToSMulWithZeroToMulActionWithZeroToAddCommMonoidToLEToPreorderInstPartialOrderSeminorm.{u3, u2} 𝕜 E _inst_1 _inst_7 _inst_12) s p) (Finset.sum.{u2, u1} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) ι (OrderedCancelAddCommMonoid.toAddCommMonoid.{u2} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Seminorm.instOrderedCancelAddCommMonoidSeminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))))) s (fun (i : ι) => p i))
+Case conversion may be inaccurate. Consider using '#align seminorm.finset_sup_le_sum Seminorm.finset_sup_le_sumₓ'. -/
 theorem finset_sup_le_sum (p : ι → Seminorm 𝕜 E) (s : Finset ι) : s.sup p ≤ ∑ i in s, p i := by
   classical
     refine' finset.sup_le_iff.mpr _
@@ -400,6 +612,12 @@ theorem finset_sup_le_sum (p : ι → Seminorm 𝕜 E) (s : Finset ι) : s.sup p
     exact bot_le
 #align seminorm.finset_sup_le_sum Seminorm.finset_sup_le_sum
 
+/- warning: seminorm.finset_sup_apply_le -> Seminorm.finset_sup_apply_le is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} {ι : Type.{u3}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_7 : AddCommGroup.{u2} E] [_inst_12 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)] {p : ι -> (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))))} {s : Finset.{u3} ι} {x : E} {a : Real}, (LE.le.{0} Real Real.hasLe (OfNat.ofNat.{0} Real 0 (OfNat.mk.{0} Real 0 (Zero.zero.{0} Real Real.hasZero))) a) -> (forall (i : ι), (Membership.Mem.{u3, u3} ι (Finset.{u3} ι) (Finset.hasMem.{u3} ι) i s) -> (LE.le.{0} Real Real.hasLe (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (fun (_x : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (p i) x) a)) -> (LE.le.{0} Real Real.hasLe (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (fun (_x : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Finset.sup.{u2, u3} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) ι (Seminorm.semilatticeSup.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Seminorm.orderBot.{u1, u2} 𝕜 E _inst_1 _inst_7 _inst_12) s p) x) a)
+but is expected to have type
+  forall {𝕜 : Type.{u3}} {E : Type.{u2}} {ι : Type.{u1}} [_inst_1 : SeminormedRing.{u3} 𝕜] [_inst_7 : AddCommGroup.{u2} E] [_inst_12 : Module.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)] {p : ι -> (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))))} {s : Finset.{u1} ι} {x : E} {a : Real}, (LE.le.{0} Real Real.instLEReal (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) a) -> (forall (i : ι), (Membership.mem.{u1, u1} ι (Finset.{u1} ι) (Finset.instMembershipFinset.{u1} ι) i s) -> (LE.le.{0} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) x) Real.instLEReal (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_7))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_7) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u3, u2} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))) (Seminorm.seminormClass.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))))))) (p i) x) a)) -> (LE.le.{0} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) x) Real.instLEReal (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_7))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_7) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u3, u2} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))) (Seminorm.seminormClass.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))))))) (Finset.sup.{u2, u1} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) ι (Seminorm.semilatticeSup.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Seminorm.instOrderBotSeminormToAddGroupToSMulToZeroToNegZeroClassToSubNegZeroMonoidToSubtractionMonoidToDivisionAddCommMonoidToSMulZeroClassToZeroToMonoidWithZeroToSemiringToRingToSMulWithZeroToMulActionWithZeroToAddCommMonoidToLEToPreorderInstPartialOrderSeminorm.{u3, u2} 𝕜 E _inst_1 _inst_7 _inst_12) s p) x) a)
+Case conversion may be inaccurate. Consider using '#align seminorm.finset_sup_apply_le Seminorm.finset_sup_apply_leₓ'. -/
 theorem finset_sup_apply_le {p : ι → Seminorm 𝕜 E} {s : Finset ι} {x : E} {a : ℝ} (ha : 0 ≤ a)
     (h : ∀ i, i ∈ s → p i x ≤ a) : s.sup p x ≤ a :=
   by
@@ -408,6 +626,12 @@ theorem finset_sup_apply_le {p : ι → Seminorm 𝕜 E} {s : Finset ι} {x : E}
   exact Finset.sup_le h
 #align seminorm.finset_sup_apply_le Seminorm.finset_sup_apply_le
 
+/- warning: seminorm.finset_sup_apply_lt -> Seminorm.finset_sup_apply_lt is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} {ι : Type.{u3}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_7 : AddCommGroup.{u2} E] [_inst_12 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)] {p : ι -> (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))))} {s : Finset.{u3} ι} {x : E} {a : Real}, (LT.lt.{0} Real Real.hasLt (OfNat.ofNat.{0} Real 0 (OfNat.mk.{0} Real 0 (Zero.zero.{0} Real Real.hasZero))) a) -> (forall (i : ι), (Membership.Mem.{u3, u3} ι (Finset.{u3} ι) (Finset.hasMem.{u3} ι) i s) -> (LT.lt.{0} Real Real.hasLt (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) 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_inst_12))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (p i) x) a)) -> (LT.lt.{0} Real Real.hasLt (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (fun (_x : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Finset.sup.{u2, u3} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) ι (Seminorm.semilatticeSup.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Seminorm.orderBot.{u1, u2} 𝕜 E _inst_1 _inst_7 _inst_12) s p) x) a)
+but is expected to have type
+  forall {𝕜 : Type.{u3}} {E : Type.{u2}} {ι : Type.{u1}} [_inst_1 : SeminormedRing.{u3} 𝕜] [_inst_7 : AddCommGroup.{u2} E] [_inst_12 : Module.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)] {p : ι -> (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))))} {s : Finset.{u1} ι} {x : E} {a : Real}, (LT.lt.{0} Real Real.instLTReal (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) a) -> (forall (i : ι), (Membership.mem.{u1, u1} ι (Finset.{u1} ι) (Finset.instMembershipFinset.{u1} ι) i s) -> (LT.lt.{0} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) x) Real.instLTReal (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_7))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_7) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u3, u2} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))) (Seminorm.seminormClass.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))))))) (p i) x) a)) -> (LT.lt.{0} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) x) Real.instLTReal (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_7))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_7) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u3, u2} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))) (Seminorm.seminormClass.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12)))))))) (Finset.sup.{u2, u1} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) ι (Seminorm.semilatticeSup.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (Seminorm.instOrderBotSeminormToAddGroupToSMulToZeroToNegZeroClassToSubNegZeroMonoidToSubtractionMonoidToDivisionAddCommMonoidToSMulZeroClassToZeroToMonoidWithZeroToSemiringToRingToSMulWithZeroToMulActionWithZeroToAddCommMonoidToLEToPreorderInstPartialOrderSeminorm.{u3, u2} 𝕜 E _inst_1 _inst_7 _inst_12) s p) x) a)
+Case conversion may be inaccurate. Consider using '#align seminorm.finset_sup_apply_lt Seminorm.finset_sup_apply_ltₓ'. -/
 theorem finset_sup_apply_lt {p : ι → Seminorm 𝕜 E} {s : Finset ι} {x : E} {a : ℝ} (ha : 0 < a)
     (h : ∀ i, i ∈ s → p i x < a) : s.sup p x < a :=
   by
@@ -417,6 +641,12 @@ theorem finset_sup_apply_lt {p : ι → Seminorm 𝕜 E} {s : Finset ι} {x : E}
   · exact nnreal.coe_pos.mpr ha
 #align seminorm.finset_sup_apply_lt Seminorm.finset_sup_apply_lt
 
+/- warning: seminorm.norm_sub_map_le_sub -> Seminorm.norm_sub_map_le_sub is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_7 : AddCommGroup.{u2} E] [_inst_12 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)] (p : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 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succ u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (fun (_x : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) p y))) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) (fun (_x : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_7) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_7)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_7) _inst_12))))) p (HSub.hSub.{u2, u2, u2} E E E (instHSub.{u2} E (SubNegMonoid.toHasSub.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_7)))) x y))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_7 : AddCommGroup.{u1} E] [_inst_12 : Module.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7)] (p : Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) (x : E) (y : E), LE.le.{0} Real Real.instLEReal (Norm.norm.{0} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) x) Real.norm (HSub.hSub.{0, 0, 0} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) x) ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) y) ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) x) (instHSub.{0} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) x) Real.instSubReal) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_7))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) E Real (AddCommGroup.toAddGroup.{u1} E _inst_7) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12)))) (Seminorm.seminormClass.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12)))))))) p x) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_7))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) E Real (AddCommGroup.toAddGroup.{u1} E _inst_7) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12)))) (Seminorm.seminormClass.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12)))))))) p y))) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_7))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) E Real (AddCommGroup.toAddGroup.{u1} E _inst_7) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12))))) 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12)))) (Seminorm.seminormClass.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_7) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_7))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_7) _inst_12)))))))) p (HSub.hSub.{u1, u1, u1} E E E (instHSub.{u1} E (SubNegMonoid.toSub.{u1} E (AddGroup.toSubNegMonoid.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_7)))) x y))
+Case conversion may be inaccurate. Consider using '#align seminorm.norm_sub_map_le_sub Seminorm.norm_sub_map_le_subₓ'. -/
 theorem norm_sub_map_le_sub (p : Seminorm 𝕜 E) (x y : E) : ‖p x - p y‖ ≤ p (x - y) :=
   abs_sub_map_le_sub p x y
 #align seminorm.norm_sub_map_le_sub Seminorm.norm_sub_map_le_sub
@@ -433,6 +663,12 @@ variable {σ₁₂ : 𝕜 →+* 𝕜₂} [RingHomIsometric σ₁₂]
 
 variable [AddCommGroup E] [AddCommGroup E₂] [Module 𝕜 E] [Module 𝕜₂ E₂]
 
+/- warning: seminorm.comp_smul -> Seminorm.comp_smul is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {𝕜₂ : Type.{u2}} {E : Type.{u3}} {E₂ : Type.{u4}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : SeminormedCommRing.{u2} 𝕜₂] {σ₁₂ : RingHom.{u1, u2} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))))} [_inst_3 : RingHomIsometric.{u1, u2} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))) (SeminormedRing.toHasNorm.{u1} 𝕜 _inst_1) (SeminormedRing.toHasNorm.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2)) σ₁₂] [_inst_4 : AddCommGroup.{u3} E] [_inst_5 : AddCommGroup.{u4} E₂] [_inst_6 : Module.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)] [_inst_7 : Module.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)] (p : Seminorm.{u2, u4} 𝕜₂ E₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2) (AddCommGroup.toAddGroup.{u4} E₂ _inst_5) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2)))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_7))))) (f : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_4) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_6 _inst_7) (c : 𝕜₂), Eq.{succ u3} (Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_4) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_4) _inst_6))))) (Seminorm.comp.{u1, u2, u3, u4} 𝕜 𝕜₂ E E₂ _inst_1 (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2) σ₁₂ _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 p (SMul.smul.{u2, max u3 u4} 𝕜₂ (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_4) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_6 _inst_7) (LinearMap.hasSmul.{u1, u2, u2, u3, u4} 𝕜 𝕜₂ 𝕜₂ E E₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_4) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_6 _inst_7 σ₁₂ (Ring.toMonoid.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))) (Module.toDistribMulAction.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_7) (smulCommClass_self.{u2, u4} 𝕜₂ E₂ (CommRing.toCommMonoid.{u2} 𝕜₂ (SeminormedCommRing.toCommRing.{u2} 𝕜₂ _inst_2)) (MulActionWithZero.toMulAction.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2)))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_7)))) c f)) (SMul.smul.{0, u3} NNReal (Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_4) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_4) _inst_6))))) (Seminorm.hasSmul.{0, u1, u3} NNReal 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_4) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_4) _inst_6)))) (MulAction.toHasSmul.{0, 0} NNReal Real (MonoidWithZero.toMonoid.{0} NNReal (Semiring.toMonoidWithZero.{0} NNReal NNReal.semiring)) (NNReal.mulAction.{0} Real (Monoid.toMulAction.{0} Real Real.monoid))) (Mul.toSMul.{0} NNReal (MulOneClass.toHasMul.{0} NNReal (Monoid.toMulOneClass.{0} NNReal (MonoidWithZero.toMonoid.{0} NNReal (Semiring.toMonoidWithZero.{0} NNReal NNReal.semiring))))) (IsScalarTower.left.{0, 0} NNReal Real (MonoidWithZero.toMonoid.{0} NNReal (Semiring.toMonoidWithZero.{0} NNReal NNReal.semiring)) (NNReal.mulAction.{0} Real (Monoid.toMulAction.{0} Real Real.monoid)))) (NNNorm.nnnorm.{u2} 𝕜₂ (SeminormedAddGroup.toNNNorm.{u2} 𝕜₂ (SeminormedAddCommGroup.toSeminormedAddGroup.{u2} 𝕜₂ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜₂ (SeminormedRing.toNonUnitalSeminormedRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))))) c) (Seminorm.comp.{u1, u2, u3, u4} 𝕜 𝕜₂ E E₂ _inst_1 (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2) σ₁₂ _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 p f))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {𝕜₂ : Type.{u4}} {E : Type.{u1}} {E₂ : Type.{u3}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_2 : SeminormedCommRing.{u4} 𝕜₂] {σ₁₂ : RingHom.{u2, u4} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NonAssocRing.toNonAssocSemiring.{u4} 𝕜₂ (Ring.toNonAssocRing.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2))))} [_inst_3 : RingHomIsometric.{u2, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2))) (SeminormedRing.toNorm.{u2} 𝕜 _inst_1) (SeminormedRing.toNorm.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2)) σ₁₂] [_inst_4 : AddCommGroup.{u1} E] [_inst_5 : AddCommGroup.{u3} E₂] [_inst_6 : Module.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4)] [_inst_7 : Module.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5)] (p : Seminorm.{u4, u3} 𝕜₂ E₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2) (AddCommGroup.toAddGroup.{u3} E₂ _inst_5) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (CommMonoidWithZero.toZero.{u4} 𝕜₂ (CommSemiring.toCommMonoidWithZero.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_7))))) (f : LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2))) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_6 _inst_7) (c : 𝕜₂), Eq.{succ u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_4) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) _inst_6))))) (Seminorm.comp.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ _inst_1 (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2) σ₁₂ _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 p (HSMul.hSMul.{u4, max u1 u3, max u1 u3} 𝕜₂ (LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2))) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_6 _inst_7) (LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2))) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_6 _inst_7) (instHSMul.{u4, max u1 u3} 𝕜₂ (LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2))) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_6 _inst_7) (LinearMap.instSMulLinearMap.{u2, u4, u4, u1, u3} 𝕜 𝕜₂ 𝕜₂ E E₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_6 _inst_7 σ₁₂ (MonoidWithZero.toMonoid.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2))))) (Module.toDistribMulAction.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_7) (smulCommClass_self.{u4, u3} 𝕜₂ E₂ (CommRing.toCommMonoid.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2)) (MulActionWithZero.toMulAction.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_7))))) c f)) (HSMul.hSMul.{0, u1, u1} NNReal (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_4) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) _inst_6))))) (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_4) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) _inst_6))))) (instHSMul.{0, u1} NNReal (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_4) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) _inst_6))))) (Seminorm.smul.{0, u2, u1} NNReal 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_4) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) _inst_6)))) Seminorm.smul_nnreal_real (Algebra.toSMul.{0, 0} NNReal NNReal instNNRealCommSemiring instNNRealSemiring (Algebra.id.{0} NNReal instNNRealCommSemiring)) (IsScalarTower.left.{0, 0} NNReal Real (MonoidWithZero.toMonoid.{0} NNReal (Semiring.toMonoidWithZero.{0} NNReal instNNRealSemiring)) (NNReal.instMulActionNNRealToMonoidToMonoidWithZeroInstNNRealSemiring.{0} Real (MulActionWithZero.toMulAction.{0, 0} Real Real Real.instMonoidWithZeroReal Real.instZeroReal (MonoidWithZero.toMulActionWithZero.{0} Real Real.instMonoidWithZeroReal)))))) (NNNorm.nnnorm.{u4} 𝕜₂ (SeminormedAddGroup.toNNNorm.{u4} 𝕜₂ (SeminormedAddCommGroup.toSeminormedAddGroup.{u4} 𝕜₂ (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u4} 𝕜₂ (SeminormedRing.toNonUnitalSeminormedRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2))))) c) (Seminorm.comp.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ _inst_1 (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2) σ₁₂ _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 p f))
+Case conversion may be inaccurate. Consider using '#align seminorm.comp_smul Seminorm.comp_smulₓ'. -/
 theorem comp_smul (p : Seminorm 𝕜₂ E₂) (f : E →ₛₗ[σ₁₂] E₂) (c : 𝕜₂) :
     p.comp (c • f) = ‖c‖₊ • p.comp f :=
   ext fun _ => by
@@ -440,6 +676,12 @@ theorem comp_smul (p : Seminorm 𝕜₂ E₂) (f : E →ₛₗ[σ₁₂] E₂) (
       smul_eq_mul, comp_apply]
 #align seminorm.comp_smul Seminorm.comp_smul
 
+/- warning: seminorm.comp_smul_apply -> Seminorm.comp_smul_apply is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {𝕜₂ : Type.{u2}} {E : Type.{u3}} {E₂ : Type.{u4}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : SeminormedCommRing.{u2} 𝕜₂] {σ₁₂ : RingHom.{u1, u2} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))))} [_inst_3 : RingHomIsometric.{u1, u2} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))) (SeminormedRing.toHasNorm.{u1} 𝕜 _inst_1) (SeminormedRing.toHasNorm.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2)) σ₁₂] [_inst_4 : AddCommGroup.{u3} E] [_inst_5 : AddCommGroup.{u4} E₂] [_inst_6 : Module.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)] [_inst_7 : Module.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)] (p : Seminorm.{u2, u4} 𝕜₂ E₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2) (AddCommGroup.toAddGroup.{u4} E₂ _inst_5) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2)))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_7))))) (f : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_4) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_6 _inst_7) (c : 𝕜₂) (x : E), Eq.{1} Real (coeFn.{succ u3, succ u3} (Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_4) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_4) _inst_6))))) (fun (_x : Seminorm.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_4) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_4) _inst_6))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u3} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u3} E _inst_4) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_4)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_4) _inst_6))))) (Seminorm.comp.{u1, u2, u3, u4} 𝕜 𝕜₂ E E₂ _inst_1 (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2) σ₁₂ _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 p (SMul.smul.{u2, max u3 u4} 𝕜₂ (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_4) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_6 _inst_7) (LinearMap.hasSmul.{u1, u2, u2, u3, u4} 𝕜 𝕜₂ 𝕜₂ E E₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_4) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_6 _inst_7 σ₁₂ (Ring.toMonoid.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))) (Module.toDistribMulAction.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_7) (smulCommClass_self.{u2, u4} 𝕜₂ E₂ (CommRing.toCommMonoid.{u2} 𝕜₂ (SeminormedCommRing.toCommRing.{u2} 𝕜₂ _inst_2)) (MulActionWithZero.toMulAction.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2)))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_7)))) c f)) x) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) (Norm.norm.{u2} 𝕜₂ (SeminormedRing.toHasNorm.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2)) c) (coeFn.{succ u4, succ u4} (Seminorm.{u2, u4} 𝕜₂ E₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2) (AddCommGroup.toAddGroup.{u4} E₂ _inst_5) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2)))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_7))))) (fun (_x : Seminorm.{u2, u4} 𝕜₂ E₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2) (AddCommGroup.toAddGroup.{u4} E₂ _inst_5) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2)))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_7))))) => E₂ -> Real) (Seminorm.hasCoeToFun.{u2, u4} 𝕜₂ E₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2) (AddCommGroup.toAddGroup.{u4} E₂ _inst_5) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2)))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_7))))) p (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_4) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_6 _inst_7) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_4) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_6 _inst_7) => E -> E₂) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜 𝕜₂ E E₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_4) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_6 _inst_7 σ₁₂) f x)))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {𝕜₂ : Type.{u4}} {E : Type.{u1}} {E₂ : Type.{u3}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_2 : SeminormedCommRing.{u4} 𝕜₂] {σ₁₂ : RingHom.{u2, u4} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NonAssocRing.toNonAssocSemiring.{u4} 𝕜₂ (Ring.toNonAssocRing.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2))))} [_inst_3 : RingHomIsometric.{u2, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2))) (SeminormedRing.toNorm.{u2} 𝕜 _inst_1) (SeminormedRing.toNorm.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2)) σ₁₂] [_inst_4 : AddCommGroup.{u1} E] [_inst_5 : AddCommGroup.{u3} E₂] [_inst_6 : Module.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4)] [_inst_7 : Module.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5)] (p : Seminorm.{u4, u3} 𝕜₂ E₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2) (AddCommGroup.toAddGroup.{u3} E₂ _inst_5) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (CommMonoidWithZero.toZero.{u4} 𝕜₂ (CommSemiring.toCommMonoidWithZero.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_7))))) (f : LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2))) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_6 _inst_7) (c : 𝕜₂) (x : E), Eq.{1} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) x) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_4) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) _inst_6))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_4) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) _inst_6))))) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_4))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_4) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) _inst_6))))) E Real (AddCommGroup.toAddGroup.{u1} E _inst_4) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_4) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) _inst_6))))) 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_4) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) _inst_6)))) (Seminorm.seminormClass.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_4) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_4))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) _inst_6)))))))) (Seminorm.comp.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ _inst_1 (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2) σ₁₂ _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 p (HSMul.hSMul.{u4, max u1 u3, max u1 u3} 𝕜₂ (LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2))) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_6 _inst_7) (LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2))) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_6 _inst_7) (instHSMul.{u4, max u1 u3} 𝕜₂ (LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2))) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_6 _inst_7) (LinearMap.instSMulLinearMap.{u2, u4, u4, u1, u3} 𝕜 𝕜₂ 𝕜₂ E E₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_6 _inst_7 σ₁₂ (MonoidWithZero.toMonoid.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2))))) (Module.toDistribMulAction.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_7) (smulCommClass_self.{u4, u3} 𝕜₂ E₂ (CommRing.toCommMonoid.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2)) (MulActionWithZero.toMulAction.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) 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(NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_7))))) E₂ Real (AddZeroClass.toAdd.{u3} E₂ (AddMonoid.toAddZeroClass.{u3} E₂ (SubNegMonoid.toAddMonoid.{u3} E₂ (AddGroup.toSubNegMonoid.{u3} E₂ (AddCommGroup.toAddGroup.{u3} E₂ _inst_5))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u3, u3, 0} (Seminorm.{u4, u3} 𝕜₂ E₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2) (AddCommGroup.toAddGroup.{u3} E₂ _inst_5) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (CommMonoidWithZero.toZero.{u4} 𝕜₂ (CommSemiring.toCommMonoidWithZero.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 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(SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (CommMonoidWithZero.toZero.{u4} 𝕜₂ (CommSemiring.toCommMonoidWithZero.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_7))))) 𝕜₂ E₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2) (AddCommGroup.toAddGroup.{u3} E₂ _inst_5) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (CommMonoidWithZero.toZero.{u4} 𝕜₂ (CommSemiring.toCommMonoidWithZero.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_7)))) (Seminorm.seminormClass.{u4, u3} 𝕜₂ E₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2) (AddCommGroup.toAddGroup.{u3} E₂ _inst_5) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (CommMonoidWithZero.toZero.{u4} 𝕜₂ (CommSemiring.toCommMonoidWithZero.{u4} 𝕜₂ (CommRing.toCommSemiring.{u4} 𝕜₂ (SeminormedCommRing.toCommRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_7)))))))) p (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2))) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_6 _inst_7) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : E) => E₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₂ _inst_2))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_4) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_6 _inst_7 σ₁₂) f x)))
+Case conversion may be inaccurate. Consider using '#align seminorm.comp_smul_apply Seminorm.comp_smul_applyₓ'. -/
 theorem comp_smul_apply (p : Seminorm 𝕜₂ E₂) (f : E →ₛₗ[σ₁₂] E₂) (c : 𝕜₂) (x : E) :
     p.comp (c • f) x = ‖c‖ * p (f x) :=
   map_smul_eq_mul p _ _
@@ -451,6 +693,12 @@ section NormedField
 
 variable [NormedField 𝕜] [AddCommGroup E] [Module 𝕜 E] {p q : Seminorm 𝕜 E} {x : E}
 
+/- warning: seminorm.bdd_below_range_add -> Seminorm.bddBelow_range_add is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {p : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))} {q : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))} {x : E}, BddBelow.{0} Real Real.preorder (Set.range.{0, succ u2} Real E (fun (u : E) => HAdd.hAdd.{0, 0, 0} Real Real Real (instHAdd.{0} Real Real.hasAdd) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (fun (_x : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) p u) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (fun (_x : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) q (HSub.hSub.{u2, u2, u2} E E E (instHSub.{u2} E (SubNegMonoid.toHasSub.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)))) x u))))
+but is expected to have type
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {p : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))} {q : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))} {x : E}, BddBelow.{0} Real Real.instPreorderReal (Set.range.{0, succ u2} Real E (fun (u : E) => HAdd.hAdd.{0, 0, 0} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) u) ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) (HSub.hSub.{u2, u2, u2} E E E (instHSub.{u2} E (SubNegMonoid.toSub.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)))) x u)) ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) u) 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(NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Seminorm.seminormClass.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))))) p u) (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Seminorm.seminormClass.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))))) q (HSub.hSub.{u2, u2, u2} E E E (instHSub.{u2} E (SubNegMonoid.toSub.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)))) x u))))
+Case conversion may be inaccurate. Consider using '#align seminorm.bdd_below_range_add Seminorm.bddBelow_range_addₓ'. -/
 /-- Auxiliary lemma to show that the infimum of seminorms is well-defined. -/
 theorem bddBelow_range_add : BddBelow (range fun u => p u + q (x - u)) :=
   ⟨0, by
@@ -479,6 +727,12 @@ noncomputable instance : Inf (Seminorm 𝕜 E)
             (fun u => ⟨a • u, inv_smul_smul₀ ha u⟩) fun u => _
         rw [smul_inv_smul₀ ha] }
 
+/- warning: seminorm.inf_apply -> Seminorm.inf_apply is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (p : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (q : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (x : E), Eq.{1} Real (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (fun (_x : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Inf.inf.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Seminorm.hasInf.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) p q) x) (infᵢ.{0, succ u2} Real Real.hasInf E (fun (u : E) => HAdd.hAdd.{0, 0, 0} Real Real Real (instHAdd.{0} Real Real.hasAdd) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (fun (_x : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) p u) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (fun (_x : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) q (HSub.hSub.{u2, u2, u2} E E E (instHSub.{u2} E (SubNegMonoid.toHasSub.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)))) x u))))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : NormedField.{u2} 𝕜] [_inst_2 : AddCommGroup.{u1} E] [_inst_3 : Module.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)] (p : Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) (q : Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) (x : E), Eq.{1} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) x) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) E Real (AddCommGroup.toAddGroup.{u1} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))) (Seminorm.seminormClass.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))))))) (Inf.inf.{u1} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) (Seminorm.instInfSeminormToSeminormedRingToSeminormedCommRingToNormedCommRingToAddGroupToSMulToZeroToNegZeroClassToSubNegZeroMonoidToSubtractionMonoidToDivisionAddCommMonoidToSMulZeroClassToZeroToCommMonoidWithZeroToCommGroupWithZeroToSemifieldToFieldToSMulWithZeroToMonoidWithZeroToSemiringToDivisionSemiringToMulActionWithZeroToAddCommMonoid.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) p q) x) (infᵢ.{0, succ u1} Real Real.instInfSetReal E (fun (u : E) => HAdd.hAdd.{0, 0, 0} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) u) ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) (HSub.hSub.{u1, u1, u1} E E E (instHSub.{u1} E (SubNegMonoid.toSub.{u1} E (AddGroup.toSubNegMonoid.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_2)))) x u)) ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) u) (instHAdd.{0} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) u) Real.instAddReal) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 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(AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) E Real (AddCommGroup.toAddGroup.{u1} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))) (Seminorm.seminormClass.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))))))) p u) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 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(AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) E Real (AddCommGroup.toAddGroup.{u1} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))) (Seminorm.seminormClass.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))))))) q (HSub.hSub.{u1, u1, u1} E E E (instHSub.{u1} E (SubNegMonoid.toSub.{u1} E (AddGroup.toSubNegMonoid.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_2)))) x u))))
+Case conversion may be inaccurate. Consider using '#align seminorm.inf_apply Seminorm.inf_applyₓ'. -/
 @[simp]
 theorem inf_apply (p q : Seminorm 𝕜 E) (x : E) : (p ⊓ q) x = ⨅ u : E, p u + q (x - u) :=
   rfl
@@ -494,6 +748,12 @@ noncomputable instance : Lattice (Seminorm 𝕜 E) :=
     le_inf := fun a b c hab hac x =>
       le_cinfᵢ fun u => (le_map_add_map_sub a _ _).trans <| add_le_add (hab _) (hac _) }
 
+/- warning: seminorm.smul_inf -> Seminorm.smul_inf is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} {𝕜 : Type.{u2}} {E : Type.{u3}} [_inst_1 : NormedField.{u2} 𝕜] [_inst_2 : AddCommGroup.{u3} E] [_inst_3 : Module.{u2, u3} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)] [_inst_4 : SMul.{u1, 0} R Real] [_inst_5 : SMul.{u1, 0} R NNReal] [_inst_6 : IsScalarTower.{u1, 0, 0} R NNReal Real _inst_5 (SMulZeroClass.toHasSmul.{0, 0} NNReal Real (AddZeroClass.toHasZero.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real Real.addCommMonoid))) (SMulWithZero.toSmulZeroClass.{0, 0} NNReal Real (MulZeroClass.toHasZero.{0} NNReal (MulZeroOneClass.toMulZeroClass.{0} NNReal (MonoidWithZero.toMulZeroOneClass.{0} NNReal (Semiring.toMonoidWithZero.{0} NNReal NNReal.semiring)))) (AddZeroClass.toHasZero.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real Real.addCommMonoid))) (MulActionWithZero.toSMulWithZero.{0, 0} NNReal Real (Semiring.toMonoidWithZero.{0} NNReal NNReal.semiring) (AddZeroClass.toHasZero.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real Real.addCommMonoid))) (Module.toMulActionWithZero.{0, 0} NNReal Real NNReal.semiring Real.addCommMonoid (NNReal.module.{0} Real Real.addCommMonoid Real.module))))) _inst_4] (r : R) (p : Seminorm.{u2, u3} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u3} E _inst_2) (SMulZeroClass.toHasSmul.{u2, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u2, u3} 𝕜 E (MulZeroClass.toHasZero.{u2} 𝕜 (MulZeroOneClass.toMulZeroClass.{u2} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u3} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)))) (Module.toMulActionWithZero.{u2, u3} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3))))) (q : Seminorm.{u2, u3} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u3} E _inst_2) (SMulZeroClass.toHasSmul.{u2, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u2, u3} 𝕜 E (MulZeroClass.toHasZero.{u2} 𝕜 (MulZeroOneClass.toMulZeroClass.{u2} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u3} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)))) (Module.toMulActionWithZero.{u2, u3} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3))))), Eq.{succ u3} (Seminorm.{u2, u3} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u3} E _inst_2) (SMulZeroClass.toHasSmul.{u2, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u2, u3} 𝕜 E (MulZeroClass.toHasZero.{u2} 𝕜 (MulZeroOneClass.toMulZeroClass.{u2} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u3} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)))) (Module.toMulActionWithZero.{u2, u3} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3))))) (SMul.smul.{u1, u3} R (Seminorm.{u2, u3} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u3} E _inst_2) (SMulZeroClass.toHasSmul.{u2, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u2, u3} 𝕜 E (MulZeroClass.toHasZero.{u2} 𝕜 (MulZeroOneClass.toMulZeroClass.{u2} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u3} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)))) (Module.toMulActionWithZero.{u2, u3} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3))))) (Seminorm.hasSmul.{u1, u2, u3} R 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u3} E _inst_2) (SMulZeroClass.toHasSmul.{u2, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u2, u3} 𝕜 E (MulZeroClass.toHasZero.{u2} 𝕜 (MulZeroOneClass.toMulZeroClass.{u2} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u3} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)))) (Module.toMulActionWithZero.{u2, u3} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3)))) _inst_4 _inst_5 _inst_6) r (Inf.inf.{u3} (Seminorm.{u2, u3} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u3} E _inst_2) (SMulZeroClass.toHasSmul.{u2, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u2, u3} 𝕜 E (MulZeroClass.toHasZero.{u2} 𝕜 (MulZeroOneClass.toMulZeroClass.{u2} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u3} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)))) (Module.toMulActionWithZero.{u2, u3} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3))))) (Seminorm.hasInf.{u2, u3} 𝕜 E _inst_1 _inst_2 _inst_3) p q)) (Inf.inf.{u3} (Seminorm.{u2, u3} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u3} E _inst_2) (SMulZeroClass.toHasSmul.{u2, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u2, u3} 𝕜 E (MulZeroClass.toHasZero.{u2} 𝕜 (MulZeroOneClass.toMulZeroClass.{u2} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u3} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)))) (Module.toMulActionWithZero.{u2, u3} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3))))) (Seminorm.hasInf.{u2, u3} 𝕜 E _inst_1 _inst_2 _inst_3) (SMul.smul.{u1, u3} R (Seminorm.{u2, u3} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u3} E _inst_2) (SMulZeroClass.toHasSmul.{u2, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u2, u3} 𝕜 E (MulZeroClass.toHasZero.{u2} 𝕜 (MulZeroOneClass.toMulZeroClass.{u2} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u3} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)))) (Module.toMulActionWithZero.{u2, u3} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3))))) (Seminorm.hasSmul.{u1, u2, u3} R 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u3} E _inst_2) (SMulZeroClass.toHasSmul.{u2, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u2, u3} 𝕜 E (MulZeroClass.toHasZero.{u2} 𝕜 (MulZeroOneClass.toMulZeroClass.{u2} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u3} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)))) (Module.toMulActionWithZero.{u2, u3} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3)))) _inst_4 _inst_5 _inst_6) r p) (SMul.smul.{u1, u3} R (Seminorm.{u2, u3} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u3} E _inst_2) (SMulZeroClass.toHasSmul.{u2, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u2, u3} 𝕜 E (MulZeroClass.toHasZero.{u2} 𝕜 (MulZeroOneClass.toMulZeroClass.{u2} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u3} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)))) (Module.toMulActionWithZero.{u2, u3} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3))))) (Seminorm.hasSmul.{u1, u2, u3} R 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u3} E _inst_2) (SMulZeroClass.toHasSmul.{u2, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u2, u3} 𝕜 E (MulZeroClass.toHasZero.{u2} 𝕜 (MulZeroOneClass.toMulZeroClass.{u2} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u2, u3} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)))) (Module.toMulActionWithZero.{u2, u3} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3)))) _inst_4 _inst_5 _inst_6) r q))
+but is expected to have type
+  forall {R : Type.{u3}} {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : NormedField.{u2} 𝕜] [_inst_2 : AddCommGroup.{u1} E] [_inst_3 : Module.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)] [_inst_4 : SMul.{u3, 0} R Real] [_inst_5 : SMul.{u3, 0} R NNReal] [_inst_6 : IsScalarTower.{u3, 0, 0} R NNReal Real _inst_5 Seminorm.smul_nnreal_real _inst_4] (r : R) (p : Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) (q : Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))), Eq.{succ u1} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) (HSMul.hSMul.{u3, u1, u1} R (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) (instHSMul.{u3, u1} R (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) (Seminorm.smul.{u3, u2, u1} R 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))) _inst_4 _inst_5 _inst_6)) r (Inf.inf.{u1} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) (Seminorm.instInfSeminormToSeminormedRingToSeminormedCommRingToNormedCommRingToAddGroupToSMulToZeroToNegZeroClassToSubNegZeroMonoidToSubtractionMonoidToDivisionAddCommMonoidToSMulZeroClassToZeroToCommMonoidWithZeroToCommGroupWithZeroToSemifieldToFieldToSMulWithZeroToMonoidWithZeroToSemiringToDivisionSemiringToMulActionWithZeroToAddCommMonoid.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) p q)) (Inf.inf.{u1} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) (Seminorm.instInfSeminormToSeminormedRingToSeminormedCommRingToNormedCommRingToAddGroupToSMulToZeroToNegZeroClassToSubNegZeroMonoidToSubtractionMonoidToDivisionAddCommMonoidToSMulZeroClassToZeroToCommMonoidWithZeroToCommGroupWithZeroToSemifieldToFieldToSMulWithZeroToMonoidWithZeroToSemiringToDivisionSemiringToMulActionWithZeroToAddCommMonoid.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) (HSMul.hSMul.{u3, u1, u1} R (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) (instHSMul.{u3, u1} R (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) (Seminorm.smul.{u3, u2, u1} R 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))) _inst_4 _inst_5 _inst_6)) r p) (HSMul.hSMul.{u3, u1, u1} R (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) (instHSMul.{u3, u1} R (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) (Seminorm.smul.{u3, u2, u1} R 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))) _inst_4 _inst_5 _inst_6)) r q))
+Case conversion may be inaccurate. Consider using '#align seminorm.smul_inf Seminorm.smul_infₓ'. -/
 theorem smul_inf [SMul R ℝ] [SMul R ℝ≥0] [IsScalarTower R ℝ≥0 ℝ] (r : R) (p q : Seminorm 𝕜 E) :
     r • (p ⊓ q) = r • p ⊓ r • q := by
   ext
@@ -559,11 +819,23 @@ noncomputable instance : SupSet (Seminorm 𝕜 E)
           exact i.1.smul' a x }
     else ⊥
 
+/- warning: seminorm.coe_Sup_eq' -> Seminorm.coe_supₛ_eq' is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {s : Set.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))}, (BddAbove.{u2} (E -> Real) (Pi.preorder.{u2, 0} E (fun (ᾰ : E) => Real) (fun (i : E) => Real.preorder)) (Set.image.{u2, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (E -> Real) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (fun (ᾰ : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) s)) -> (Eq.{succ u2} (E -> Real) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (fun (_x : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (SupSet.supₛ.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Seminorm.hasSup.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) s)) (supᵢ.{u2, succ u2} (E -> Real) (Pi.supSet.{u2, 0} E (fun (ᾰ : E) => Real) (fun (i : E) => Real.hasSup)) (coeSort.{succ u2, succ (succ u2)} (Set.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) 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(Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) s) => coeFn.{succ u2, succ u2} (coeSort.{succ u2, succ (succ u2)} (Set.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) 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(AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) s) (fun (x : coeSort.{succ u2, succ (succ u2)} (Set.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 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(AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) s) => E -> Real) (coeFnTrans.{succ u2, succ u2, succ u2} (coeSort.{succ u2, succ (succ u2)} (Set.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 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(NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) s) (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 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(NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (coeBaseAux.{succ u2, succ u2} (coeSort.{succ u2, succ (succ u2)} (Set.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 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_inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) Type.{u2} (Set.hasCoeToSort.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) s) (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (coeSubtype.{succ u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (fun (x : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) => Membership.Mem.{u2, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Set.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) (Set.hasMem.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) x s)))) p)))
+but is expected to have type
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {s : Set.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))}, (BddAbove.{u2} (E -> Real) (Pi.preorder.{u2, 0} E (fun (ᾰ : E) => Real) (fun (i : E) => Real.instPreorderReal)) (Set.image.{u2, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (E -> Real) (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E (fun (ᾰ : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) ᾰ) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Seminorm.seminormClass.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))))))) s)) -> (Eq.{succ u2} (forall (ᾰ : E), (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) ᾰ) (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Seminorm.seminormClass.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))))) (SupSet.supₛ.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Seminorm.instSupSetSeminormToSeminormedRingToSeminormedCommRingToNormedCommRingToAddGroupToSMulToZeroToNegZeroClassToSubNegZeroMonoidToSubtractionMonoidToDivisionAddCommMonoidToSMulZeroClassToZeroToCommMonoidWithZeroToCommGroupWithZeroToSemifieldToFieldToSMulWithZeroToMonoidWithZeroToSemiringToDivisionSemiringToMulActionWithZeroToAddCommMonoid.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) s)) (supᵢ.{u2, succ u2} (forall (ᾰ : E), (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) ᾰ) (Pi.supSet.{u2, 0} E (fun (ᾰ : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) ᾰ) (fun (i : E) => Real.instSupSetReal)) (Set.Elem.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) s) (fun (p : Set.Elem.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) s) => FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E (fun (x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Seminorm.seminormClass.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))))) (Subtype.val.{succ u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (fun (x : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) => Membership.mem.{u2, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Set.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) (Set.instMembershipSet.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) x s) p))))
+Case conversion may be inaccurate. Consider using '#align seminorm.coe_Sup_eq' Seminorm.coe_supₛ_eq'ₓ'. -/
 protected theorem coe_supₛ_eq' {s : Set <| Seminorm 𝕜 E}
     (hs : BddAbove (coeFn '' s : Set (E → ℝ))) : coeFn (supₛ s) = ⨆ p : s, p :=
   congr_arg _ (dif_pos hs)
 #align seminorm.coe_Sup_eq' Seminorm.coe_supₛ_eq'
 
+/- warning: seminorm.bdd_above_iff -> Seminorm.bddAbove_iff is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {s : Set.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))}, Iff (BddAbove.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (PartialOrder.toPreorder.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Seminorm.partialOrder.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) s) (BddAbove.{u2} (E -> Real) (Pi.preorder.{u2, 0} E (fun (ᾰ : E) => Real) (fun (i : E) => Real.preorder)) (Set.image.{u2, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (E -> Real) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (fun (ᾰ : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) s))
+but is expected to have type
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {s : Set.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))}, Iff (BddAbove.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (PartialOrder.toPreorder.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Seminorm.instPartialOrderSeminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) s) (BddAbove.{u2} (E -> Real) (Pi.preorder.{u2, 0} E (fun (ᾰ : E) => Real) (fun (i : E) => Real.instPreorderReal)) (Set.image.{u2, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (E -> Real) (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E (fun (ᾰ : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) ᾰ) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Seminorm.seminormClass.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))))))) s))
+Case conversion may be inaccurate. Consider using '#align seminorm.bdd_above_iff Seminorm.bddAbove_iffₓ'. -/
 protected theorem bddAbove_iff {s : Set <| Seminorm 𝕜 E} :
     BddAbove s ↔ BddAbove (coeFn '' s : Set (E → ℝ)) :=
   ⟨fun ⟨q, hq⟩ => ⟨q, ball_image_of_ball fun p hp => hq hp⟩, fun H =>
@@ -574,11 +846,23 @@ protected theorem bddAbove_iff {s : Set <| Seminorm 𝕜 E} :
         le_csupᵢ ⟨q x, forall_range_iff.mpr fun i : s => hq (mem_image_of_mem _ i.2) x⟩ ⟨p, hp⟩⟩⟩
 #align seminorm.bdd_above_iff Seminorm.bddAbove_iff
 
+/- warning: seminorm.coe_Sup_eq -> Seminorm.coe_supₛ_eq is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {s : Set.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))}, (BddAbove.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (PartialOrder.toPreorder.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Seminorm.partialOrder.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) s) -> (Eq.{succ u2} (E -> Real) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (fun (_x : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (SupSet.supₛ.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) 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(AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Seminorm.hasSup.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) s)) (supᵢ.{u2, succ u2} (E -> Real) (Pi.supSet.{u2, 0} E (fun (ᾰ : E) => Real) (fun (i : E) => Real.hasSup)) (coeSort.{succ u2, succ (succ u2)} (Set.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 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(Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) s) => coeFn.{succ u2, succ u2} (coeSort.{succ u2, succ (succ u2)} (Set.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} 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(AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) Type.{u2} (Set.hasCoeToSort.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) s) => E -> Real) (coeFnTrans.{succ u2, succ u2, succ u2} (coeSort.{succ u2, succ (succ u2)} (Set.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) Type.{u2} (Set.hasCoeToSort.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) s) (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (fun (_x : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (coeBaseAux.{succ u2, succ u2} (coeSort.{succ u2, succ (succ u2)} (Set.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) Type.{u2} (Set.hasCoeToSort.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) s) (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (coeSubtype.{succ u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (fun (x : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) => Membership.Mem.{u2, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Set.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) (Set.hasMem.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) x s)))) p)))
+but is expected to have type
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {s : Set.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))}, (BddAbove.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (PartialOrder.toPreorder.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Seminorm.instPartialOrderSeminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) s) -> (Eq.{succ u2} (forall (ᾰ : E), (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) ᾰ) (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Seminorm.seminormClass.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))))) (SupSet.supₛ.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Seminorm.instSupSetSeminormToSeminormedRingToSeminormedCommRingToNormedCommRingToAddGroupToSMulToZeroToNegZeroClassToSubNegZeroMonoidToSubtractionMonoidToDivisionAddCommMonoidToSMulZeroClassToZeroToCommMonoidWithZeroToCommGroupWithZeroToSemifieldToFieldToSMulWithZeroToMonoidWithZeroToSemiringToDivisionSemiringToMulActionWithZeroToAddCommMonoid.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) s)) (supᵢ.{u2, succ u2} (forall (ᾰ : E), (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) ᾰ) (Pi.supSet.{u2, 0} E (fun (ᾰ : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) ᾰ) (fun (i : E) => Real.instSupSetReal)) (Set.Elem.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} 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_inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) s) (fun (p : Set.Elem.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) s) => FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E (fun (x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Seminorm.seminormClass.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))))) (Subtype.val.{succ u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (fun (x : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) => Membership.mem.{u2, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Set.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) (Set.instMembershipSet.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) x s) p))))
+Case conversion may be inaccurate. Consider using '#align seminorm.coe_Sup_eq Seminorm.coe_supₛ_eqₓ'. -/
 protected theorem coe_supₛ_eq {s : Set <| Seminorm 𝕜 E} (hs : BddAbove s) :
     coeFn (supₛ s) = ⨆ p : s, p :=
   Seminorm.coe_supₛ_eq' (Seminorm.bddAbove_iff.mp hs)
 #align seminorm.coe_Sup_eq Seminorm.coe_supₛ_eq
 
+/- warning: seminorm.coe_supr_eq -> Seminorm.coe_supᵢ_eq is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {ι : Type.{u3}} {p : ι -> (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))}, (BddAbove.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (PartialOrder.toPreorder.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Seminorm.partialOrder.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) (Set.range.{u2, succ u3} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) ι p)) -> (Eq.{succ u2} (E -> Real) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (fun (_x : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (supᵢ.{u2, succ u3} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Seminorm.hasSup.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) ι (fun (i : ι) => p i))) (supᵢ.{u2, succ u3} (E -> Real) (Pi.supSet.{u2, 0} E (fun (ᾰ : E) => Real) (fun (i : E) => Real.hasSup)) ι (fun (i : ι) => coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (fun (_x : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (p i))))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : NormedField.{u2} 𝕜] [_inst_2 : AddCommGroup.{u1} E] [_inst_3 : Module.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)] {ι : Type.{u3}} {p : ι -> (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))))}, (BddAbove.{u1} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) (PartialOrder.toPreorder.{u1} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) (Seminorm.instPartialOrderSeminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))))) (Set.range.{u1, succ u3} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) ι p)) -> (Eq.{succ u1} (forall (ᾰ : E), (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) ᾰ) (FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) E Real (AddCommGroup.toAddGroup.{u1} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))) (Seminorm.seminormClass.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))))))) (supᵢ.{u1, succ u3} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) (Seminorm.instSupSetSeminormToSeminormedRingToSeminormedCommRingToNormedCommRingToAddGroupToSMulToZeroToNegZeroClassToSubNegZeroMonoidToSubtractionMonoidToDivisionAddCommMonoidToSMulZeroClassToZeroToCommMonoidWithZeroToCommGroupWithZeroToSemifieldToFieldToSMulWithZeroToMonoidWithZeroToSemiringToDivisionSemiringToMulActionWithZeroToAddCommMonoid.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3) ι (fun (i : ι) => p i))) (supᵢ.{u1, succ u3} (forall (ᾰ : E), (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) ᾰ) (Pi.supSet.{u1, 0} E (fun (ᾰ : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) ᾰ) (fun (i : E) => Real.instSupSetReal)) ι (fun (i : ι) => FunLike.coe.{succ u1, succ u1, 1} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) E Real (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u1, u1, 0} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) E Real (AddCommGroup.toAddGroup.{u1} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u1, u2, u1} (Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))) (Seminorm.seminormClass.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E 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(NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))))))) (p i))))
+Case conversion may be inaccurate. Consider using '#align seminorm.coe_supr_eq Seminorm.coe_supᵢ_eqₓ'. -/
 protected theorem coe_supᵢ_eq {ι : Type _} {p : ι → Seminorm 𝕜 E} (hp : BddAbove (range p)) :
     coeFn (⨆ i, p i) = ⨆ i, p i := by
   rw [← supₛ_range, Seminorm.coe_supₛ_eq hp] <;> exact supᵢ_range' (coeFn : Seminorm 𝕜 E → E → ℝ) p
@@ -623,57 +907,123 @@ section SMul
 
 variable [SMul 𝕜 E] (p : Seminorm 𝕜 E)
 
+#print Seminorm.ball /-
 /-- The ball of radius `r` at `x` with respect to seminorm `p` is the set of elements `y` with
 `p (y - x) < r`. -/
 def ball (x : E) (r : ℝ) :=
   { y : E | p (y - x) < r }
 #align seminorm.ball Seminorm.ball
+-/
 
+#print Seminorm.closedBall /-
 /-- The closed ball of radius `r` at `x` with respect to seminorm `p` is the set of elements `y`
 with `p (y - x) ≤ r`. -/
 def closedBall (x : E) (r : ℝ) :=
   { y : E | p (y - x) ≤ r }
 #align seminorm.closed_ball Seminorm.closedBall
+-/
 
 variable {x y : E} {r : ℝ}
 
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+Case conversion may be inaccurate. Consider using '#align seminorm.mem_ball Seminorm.mem_ballₓ'. -/
 @[simp]
 theorem mem_ball : y ∈ ball p x r ↔ p (y - x) < r :=
   Iff.rfl
 #align seminorm.mem_ball Seminorm.mem_ball
 
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+Case conversion may be inaccurate. Consider using '#align seminorm.mem_closed_ball Seminorm.mem_closedBallₓ'. -/
 @[simp]
 theorem mem_closedBall : y ∈ closedBall p x r ↔ p (y - x) ≤ r :=
   Iff.rfl
 #align seminorm.mem_closed_ball Seminorm.mem_closedBall
 
+/- warning: seminorm.mem_ball_self -> Seminorm.mem_ball_self is a dubious translation:
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 theorem mem_ball_self (hr : 0 < r) : x ∈ ball p x r := by simp [hr]
 #align seminorm.mem_ball_self Seminorm.mem_ball_self
 
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 theorem mem_closedBall_self (hr : 0 ≤ r) : x ∈ closedBall p x r := by simp [hr]
 #align seminorm.mem_closed_ball_self Seminorm.mem_closedBall_self
 
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 theorem mem_ball_zero : y ∈ ball p 0 r ↔ p y < r := by rw [mem_ball, sub_zero]
 #align seminorm.mem_ball_zero Seminorm.mem_ball_zero
 
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 theorem mem_closedBall_zero : y ∈ closedBall p 0 r ↔ p y ≤ r := by rw [mem_closed_ball, sub_zero]
 #align seminorm.mem_closed_ball_zero Seminorm.mem_closedBall_zero
 
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 theorem ball_zero_eq : ball p 0 r = { y : E | p y < r } :=
   Set.ext fun x => p.mem_ball_zero
 #align seminorm.ball_zero_eq Seminorm.ball_zero_eq
 
+/- warning: seminorm.closed_ball_zero_eq -> Seminorm.closedBall_zero_eq is a dubious translation:
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 theorem closedBall_zero_eq : closedBall p 0 r = { y : E | p y ≤ r } :=
   Set.ext fun x => p.mem_closedBall_zero
 #align seminorm.closed_ball_zero_eq Seminorm.closedBall_zero_eq
 
+#print Seminorm.ball_subset_closedBall /-
 theorem ball_subset_closedBall (x r) : ball p x r ⊆ closedBall p x r := fun y (hy : _ < _) => hy.le
 #align seminorm.ball_subset_closed_ball Seminorm.ball_subset_closedBall
+-/
 
-theorem closedBall_eq_bInter_ball (x r) : closedBall p x r = ⋂ ρ > r, ball p x ρ := by
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+Case conversion may be inaccurate. Consider using '#align seminorm.closed_ball_eq_bInter_ball Seminorm.closedBall_eq_binterᵢ_ballₓ'. -/
+theorem closedBall_eq_binterᵢ_ball (x r) : closedBall p x r = ⋂ ρ > r, ball p x ρ := by
   ext y <;> simp_rw [mem_closed_ball, mem_Inter₂, mem_ball, ← forall_lt_iff_le']
-#align seminorm.closed_ball_eq_bInter_ball Seminorm.closedBall_eq_bInter_ball
-
+#align seminorm.closed_ball_eq_bInter_ball Seminorm.closedBall_eq_binterᵢ_ball
+
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+Case conversion may be inaccurate. Consider using '#align seminorm.ball_zero' Seminorm.ball_zero'ₓ'. -/
 @[simp]
 theorem ball_zero' (x : E) (hr : 0 < r) : ball (0 : Seminorm 𝕜 E) x r = Set.univ :=
   by
@@ -681,11 +1031,23 @@ theorem ball_zero' (x : E) (hr : 0 < r) : ball (0 : Seminorm 𝕜 E) x r = Set.u
   simp [hr]
 #align seminorm.ball_zero' Seminorm.ball_zero'
 
+/- warning: seminorm.closed_ball_zero' -> Seminorm.closedBall_zero' is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : SMul.{u1, u2} 𝕜 E] {r : Real} (x : E), (LT.lt.{0} Real Real.hasLt (OfNat.ofNat.{0} Real 0 (OfNat.mk.{0} Real 0 (Zero.zero.{0} Real Real.hasZero))) r) -> (Eq.{succ u2} (Set.{u2} E) (Seminorm.closedBall.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 (OfNat.ofNat.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) 0 (OfNat.mk.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) 0 (Zero.zero.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) (Seminorm.hasZero.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3)))) x r) (Set.univ.{u2} E))
+but is expected to have type
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : SMul.{u1, u2} 𝕜 E] {r : Real} (x : E), (LT.lt.{0} Real Real.instLTReal (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) r) -> (Eq.{succ u2} (Set.{u2} E) (Seminorm.closedBall.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 (OfNat.ofNat.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) 0 (Zero.toOfNat0.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) (Seminorm.instZeroSeminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3))) x r) (Set.univ.{u2} E))
+Case conversion may be inaccurate. Consider using '#align seminorm.closed_ball_zero' Seminorm.closedBall_zero'ₓ'. -/
 @[simp]
 theorem closedBall_zero' (x : E) (hr : 0 < r) : closedBall (0 : Seminorm 𝕜 E) x r = Set.univ :=
   eq_univ_of_subset (ball_subset_closedBall _ _ _) (ball_zero' x hr)
 #align seminorm.closed_ball_zero' Seminorm.closedBall_zero'
 
+/- warning: seminorm.ball_smul -> Seminorm.ball_smul is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_2 : AddCommGroup.{u1} E] [_inst_3 : SMul.{u2, u1} 𝕜 E] (p : Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_2) _inst_3) {c : NNReal}, (LT.lt.{0} NNReal (Preorder.toLT.{0} NNReal (PartialOrder.toPreorder.{0} NNReal (StrictOrderedSemiring.toPartialOrder.{0} NNReal instNNRealStrictOrderedSemiring))) (OfNat.ofNat.{0} NNReal 0 (Zero.toOfNat0.{0} NNReal instNNRealZero)) c) -> (forall (r : Real) (x : E), Eq.{succ u1} (Set.{u1} E) (Seminorm.ball.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3 (HSMul.hSMul.{0, u1, u1} NNReal (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_2) _inst_3) (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_2) _inst_3) (instHSMul.{0, u1} NNReal (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_2) _inst_3) (Seminorm.smul.{0, u2, u1} NNReal 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_2) _inst_3 Seminorm.smul_nnreal_real (Algebra.toSMul.{0, 0} NNReal NNReal instNNRealCommSemiring instNNRealSemiring (Algebra.id.{0} NNReal instNNRealCommSemiring)) (IsScalarTower.left.{0, 0} NNReal Real (MonoidWithZero.toMonoid.{0} NNReal (Semiring.toMonoidWithZero.{0} NNReal instNNRealSemiring)) (NNReal.instMulActionNNRealToMonoidToMonoidWithZeroInstNNRealSemiring.{0} Real (MulActionWithZero.toMulAction.{0, 0} Real Real Real.instMonoidWithZeroReal Real.instZeroReal (MonoidWithZero.toMulActionWithZero.{0} Real Real.instMonoidWithZeroReal)))))) c p) x r) (Seminorm.ball.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3 p x (HDiv.hDiv.{0, 0, 0} Real Real Real (instHDiv.{0} Real (LinearOrderedField.toDiv.{0} Real Real.instLinearOrderedFieldReal)) r (NNReal.toReal c))))
+Case conversion may be inaccurate. Consider using '#align seminorm.ball_smul Seminorm.ball_smulₓ'. -/
 theorem ball_smul (p : Seminorm 𝕜 E) {c : NNReal} (hc : 0 < c) (r : ℝ) (x : E) :
     (c • p).ball x r = p.ball x (r / c) := by
   ext
@@ -693,6 +1055,12 @@ theorem ball_smul (p : Seminorm 𝕜 E) {c : NNReal} (hc : 0 < c) (r : ℝ) (x :
     lt_div_iff (nnreal.coe_pos.mpr hc)]
 #align seminorm.ball_smul Seminorm.ball_smul
 
+/- warning: seminorm.closed_ball_smul -> Seminorm.closedBall_smul is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : SMul.{u1, u2} 𝕜 E] (p : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) {c : NNReal}, (LT.lt.{0} NNReal (Preorder.toLT.{0} NNReal (PartialOrder.toPreorder.{0} NNReal (OrderedCancelAddCommMonoid.toPartialOrder.{0} NNReal (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} NNReal NNReal.strictOrderedSemiring)))) (OfNat.ofNat.{0} NNReal 0 (OfNat.mk.{0} NNReal 0 (Zero.zero.{0} NNReal (MulZeroClass.toHasZero.{0} NNReal (NonUnitalNonAssocSemiring.toMulZeroClass.{0} NNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} NNReal (Semiring.toNonAssocSemiring.{0} NNReal NNReal.semiring))))))) c) -> (forall (r : Real) (x : E), Eq.{succ u2} (Set.{u2} E) (Seminorm.closedBall.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 (SMul.smul.{0, u2} NNReal (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) (Seminorm.hasSmul.{0, u1, u2} NNReal 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3 (MulAction.toHasSmul.{0, 0} NNReal Real (MonoidWithZero.toMonoid.{0} NNReal (Semiring.toMonoidWithZero.{0} NNReal NNReal.semiring)) (NNReal.mulAction.{0} Real (Monoid.toMulAction.{0} Real Real.monoid))) (Mul.toSMul.{0} NNReal (MulOneClass.toHasMul.{0} NNReal (Monoid.toMulOneClass.{0} NNReal (MonoidWithZero.toMonoid.{0} NNReal (Semiring.toMonoidWithZero.{0} NNReal NNReal.semiring))))) (IsScalarTower.left.{0, 0} NNReal Real (MonoidWithZero.toMonoid.{0} NNReal (Semiring.toMonoidWithZero.{0} NNReal NNReal.semiring)) (NNReal.mulAction.{0} Real (Monoid.toMulAction.{0} Real Real.monoid)))) c p) x r) (Seminorm.closedBall.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 p x (HDiv.hDiv.{0, 0, 0} Real Real Real (instHDiv.{0} Real (DivInvMonoid.toHasDiv.{0} Real (DivisionRing.toDivInvMonoid.{0} Real Real.divisionRing))) r ((fun (a : Type) (b : Type) [self : HasLiftT.{1, 1} a b] => self.0) NNReal Real (HasLiftT.mk.{1, 1} NNReal Real (CoeTCₓ.coe.{1, 1} NNReal Real (coeBase.{1, 1} NNReal Real NNReal.Real.hasCoe))) c))))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_2 : AddCommGroup.{u1} E] [_inst_3 : SMul.{u2, u1} 𝕜 E] (p : Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_2) _inst_3) {c : NNReal}, (LT.lt.{0} NNReal (Preorder.toLT.{0} NNReal (PartialOrder.toPreorder.{0} NNReal (StrictOrderedSemiring.toPartialOrder.{0} NNReal instNNRealStrictOrderedSemiring))) (OfNat.ofNat.{0} NNReal 0 (Zero.toOfNat0.{0} NNReal instNNRealZero)) c) -> (forall (r : Real) (x : E), Eq.{succ u1} (Set.{u1} E) (Seminorm.closedBall.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3 (HSMul.hSMul.{0, u1, u1} NNReal (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_2) _inst_3) (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_2) _inst_3) (instHSMul.{0, u1} NNReal (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_2) _inst_3) (Seminorm.smul.{0, u2, u1} NNReal 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_2) _inst_3 Seminorm.smul_nnreal_real (Algebra.toSMul.{0, 0} NNReal NNReal instNNRealCommSemiring instNNRealSemiring (Algebra.id.{0} NNReal instNNRealCommSemiring)) (IsScalarTower.left.{0, 0} NNReal Real (MonoidWithZero.toMonoid.{0} NNReal (Semiring.toMonoidWithZero.{0} NNReal instNNRealSemiring)) (NNReal.instMulActionNNRealToMonoidToMonoidWithZeroInstNNRealSemiring.{0} Real (MulActionWithZero.toMulAction.{0, 0} Real Real Real.instMonoidWithZeroReal Real.instZeroReal (MonoidWithZero.toMulActionWithZero.{0} Real Real.instMonoidWithZeroReal)))))) c p) x r) (Seminorm.closedBall.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3 p x (HDiv.hDiv.{0, 0, 0} Real Real Real (instHDiv.{0} Real (LinearOrderedField.toDiv.{0} Real Real.instLinearOrderedFieldReal)) r (NNReal.toReal c))))
+Case conversion may be inaccurate. Consider using '#align seminorm.closed_ball_smul Seminorm.closedBall_smulₓ'. -/
 theorem closedBall_smul (p : Seminorm 𝕜 E) {c : NNReal} (hc : 0 < c) (r : ℝ) (x : E) :
     (c • p).closedBall x r = p.closedBall x (r / c) :=
   by
@@ -701,16 +1069,34 @@ theorem closedBall_smul (p : Seminorm 𝕜 E) {c : NNReal} (hc : 0 < c) (r : ℝ
     le_div_iff (nnreal.coe_pos.mpr hc)]
 #align seminorm.closed_ball_smul Seminorm.closedBall_smul
 
+/- warning: seminorm.ball_sup -> Seminorm.ball_sup is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align seminorm.ball_sup Seminorm.ball_supₓ'. -/
 theorem ball_sup (p : Seminorm 𝕜 E) (q : Seminorm 𝕜 E) (e : E) (r : ℝ) :
     ball (p ⊔ q) e r = ball p e r ∩ ball q e r := by
   simp_rw [ball, ← Set.setOf_and, coe_sup, Pi.sup_apply, sup_lt_iff]
 #align seminorm.ball_sup Seminorm.ball_sup
 
+/- warning: seminorm.closed_ball_sup -> Seminorm.closedBall_sup is a dubious translation:
+lean 3 declaration is
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+Case conversion may be inaccurate. Consider using '#align seminorm.closed_ball_sup Seminorm.closedBall_supₓ'. -/
 theorem closedBall_sup (p : Seminorm 𝕜 E) (q : Seminorm 𝕜 E) (e : E) (r : ℝ) :
     closedBall (p ⊔ q) e r = closedBall p e r ∩ closedBall q e r := by
   simp_rw [closed_ball, ← Set.setOf_and, coe_sup, Pi.sup_apply, sup_le_iff]
 #align seminorm.closed_ball_sup Seminorm.closedBall_sup
 
+/- warning: seminorm.ball_finset_sup' -> Seminorm.ball_finset_sup' is a dubious translation:
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+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} {ι : Type.{u3}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : SMul.{u1, u2} 𝕜 E] (p : ι -> (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3)) (s : Finset.{u3} ι) (H : Finset.Nonempty.{u3} ι s) (e : E) (r : Real), Eq.{succ u2} (Set.{u2} E) (Seminorm.ball.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 (Finset.sup'.{u2, u3} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) ι (Seminorm.semilatticeSup.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) s H p) e r) (Finset.inf'.{u2, u3} (Set.{u2} E) ι (Lattice.toSemilatticeInf.{u2} (Set.{u2} E) (ConditionallyCompleteLattice.toLattice.{u2} (Set.{u2} E) (CompleteLattice.toConditionallyCompleteLattice.{u2} (Set.{u2} E) (Order.Coframe.toCompleteLattice.{u2} (Set.{u2} E) (CompleteDistribLattice.toCoframe.{u2} (Set.{u2} E) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u2} (Set.{u2} E) (Set.completeBooleanAlgebra.{u2} E))))))) s H (fun (i : ι) => Seminorm.ball.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 (p i) e r))
+but is expected to have type
+  forall {𝕜 : Type.{u3}} {E : Type.{u2}} {ι : Type.{u1}} [_inst_1 : SeminormedRing.{u3} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : SMul.{u3, u2} 𝕜 E] (p : ι -> (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3)) (s : Finset.{u1} ι) (H : Finset.Nonempty.{u1} ι s) (e : E) (r : Real), Eq.{succ u2} (Set.{u2} E) (Seminorm.ball.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3 (Finset.sup'.{u2, u1} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) ι (Seminorm.semilatticeSup.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) s H p) e r) (Finset.inf'.{u2, u1} (Set.{u2} E) ι (Lattice.toSemilatticeInf.{u2} (Set.{u2} E) (ConditionallyCompleteLattice.toLattice.{u2} (Set.{u2} E) (CompleteLattice.toConditionallyCompleteLattice.{u2} (Set.{u2} E) (Order.Coframe.toCompleteLattice.{u2} (Set.{u2} E) (CompleteDistribLattice.toCoframe.{u2} (Set.{u2} E) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u2} (Set.{u2} E) (Set.instCompleteBooleanAlgebraSet.{u2} E))))))) s H (fun (i : ι) => Seminorm.ball.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3 (p i) e r))
+Case conversion may be inaccurate. Consider using '#align seminorm.ball_finset_sup' Seminorm.ball_finset_sup'ₓ'. -/
 theorem ball_finset_sup' (p : ι → Seminorm 𝕜 E) (s : Finset ι) (H : s.Nonempty) (e : E) (r : ℝ) :
     ball (s.sup' H p) e r = s.inf' H fun i => ball (p i) e r :=
   by
@@ -719,6 +1105,12 @@ theorem ball_finset_sup' (p : ι → Seminorm 𝕜 E) (s : Finset ι) (H : s.Non
   · rw [Finset.sup'_cons hs, Finset.inf'_cons hs, ball_sup, inf_eq_inter, ih]
 #align seminorm.ball_finset_sup' Seminorm.ball_finset_sup'
 
+/- warning: seminorm.closed_ball_finset_sup' -> Seminorm.closedBall_finset_sup' is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} {ι : Type.{u3}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : SMul.{u1, u2} 𝕜 E] (p : ι -> (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3)) (s : Finset.{u3} ι) (H : Finset.Nonempty.{u3} ι s) (e : E) (r : Real), Eq.{succ u2} (Set.{u2} E) (Seminorm.closedBall.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 (Finset.sup'.{u2, u3} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) ι (Seminorm.semilatticeSup.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) s H p) e r) (Finset.inf'.{u2, u3} (Set.{u2} E) ι (Lattice.toSemilatticeInf.{u2} (Set.{u2} E) (ConditionallyCompleteLattice.toLattice.{u2} (Set.{u2} E) (CompleteLattice.toConditionallyCompleteLattice.{u2} (Set.{u2} E) (Order.Coframe.toCompleteLattice.{u2} (Set.{u2} E) (CompleteDistribLattice.toCoframe.{u2} (Set.{u2} E) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u2} (Set.{u2} E) (Set.completeBooleanAlgebra.{u2} E))))))) s H (fun (i : ι) => Seminorm.closedBall.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 (p i) e r))
+but is expected to have type
+  forall {𝕜 : Type.{u3}} {E : Type.{u2}} {ι : Type.{u1}} [_inst_1 : SeminormedRing.{u3} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : SMul.{u3, u2} 𝕜 E] (p : ι -> (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3)) (s : Finset.{u1} ι) (H : Finset.Nonempty.{u1} ι s) (e : E) (r : Real), Eq.{succ u2} (Set.{u2} E) (Seminorm.closedBall.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3 (Finset.sup'.{u2, u1} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) ι (Seminorm.semilatticeSup.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) s H p) e r) (Finset.inf'.{u2, u1} (Set.{u2} E) ι (Lattice.toSemilatticeInf.{u2} (Set.{u2} E) (ConditionallyCompleteLattice.toLattice.{u2} (Set.{u2} E) (CompleteLattice.toConditionallyCompleteLattice.{u2} (Set.{u2} E) (Order.Coframe.toCompleteLattice.{u2} (Set.{u2} E) (CompleteDistribLattice.toCoframe.{u2} (Set.{u2} E) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u2} (Set.{u2} E) (Set.instCompleteBooleanAlgebraSet.{u2} E))))))) s H (fun (i : ι) => Seminorm.closedBall.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3 (p i) e r))
+Case conversion may be inaccurate. Consider using '#align seminorm.closed_ball_finset_sup' Seminorm.closedBall_finset_sup'ₓ'. -/
 theorem closedBall_finset_sup' (p : ι → Seminorm 𝕜 E) (s : Finset ι) (H : s.Nonempty) (e : E)
     (r : ℝ) : closedBall (s.sup' H p) e r = s.inf' H fun i => closedBall (p i) e r :=
   by
@@ -727,22 +1119,52 @@ theorem closedBall_finset_sup' (p : ι → Seminorm 𝕜 E) (s : Finset ι) (H :
   · rw [Finset.sup'_cons hs, Finset.inf'_cons hs, closed_ball_sup, inf_eq_inter, ih]
 #align seminorm.closed_ball_finset_sup' Seminorm.closedBall_finset_sup'
 
+/- warning: seminorm.ball_mono -> Seminorm.ball_mono is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : SMul.{u1, u2} 𝕜 E] {x : E} {p : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3} {r₁ : Real} {r₂ : Real}, (LE.le.{0} Real Real.hasLe r₁ r₂) -> (HasSubset.Subset.{u2} (Set.{u2} E) (Set.hasSubset.{u2} E) (Seminorm.ball.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 p x r₁) (Seminorm.ball.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 p x r₂))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_2 : AddCommGroup.{u1} E] [_inst_3 : SMul.{u2, u1} 𝕜 E] {x : E} {p : Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_2) _inst_3} {r₁ : Real} {r₂ : Real}, (LE.le.{0} Real Real.instLEReal r₁ r₂) -> (HasSubset.Subset.{u1} (Set.{u1} E) (Set.instHasSubsetSet.{u1} E) (Seminorm.ball.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3 p x r₁) (Seminorm.ball.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3 p x r₂))
+Case conversion may be inaccurate. Consider using '#align seminorm.ball_mono Seminorm.ball_monoₓ'. -/
 theorem ball_mono {p : Seminorm 𝕜 E} {r₁ r₂ : ℝ} (h : r₁ ≤ r₂) : p.ball x r₁ ⊆ p.ball x r₂ :=
   fun _ (hx : _ < _) => hx.trans_le h
 #align seminorm.ball_mono Seminorm.ball_mono
 
+/- warning: seminorm.closed_ball_mono -> Seminorm.closedBall_mono is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : SMul.{u1, u2} 𝕜 E] {x : E} {p : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3} {r₁ : Real} {r₂ : Real}, (LE.le.{0} Real Real.hasLe r₁ r₂) -> (HasSubset.Subset.{u2} (Set.{u2} E) (Set.hasSubset.{u2} E) (Seminorm.closedBall.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 p x r₁) (Seminorm.closedBall.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 p x r₂))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_2 : AddCommGroup.{u1} E] [_inst_3 : SMul.{u2, u1} 𝕜 E] {x : E} {p : Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_2) _inst_3} {r₁ : Real} {r₂ : Real}, (LE.le.{0} Real Real.instLEReal r₁ r₂) -> (HasSubset.Subset.{u1} (Set.{u1} E) (Set.instHasSubsetSet.{u1} E) (Seminorm.closedBall.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3 p x r₁) (Seminorm.closedBall.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3 p x r₂))
+Case conversion may be inaccurate. Consider using '#align seminorm.closed_ball_mono Seminorm.closedBall_monoₓ'. -/
 theorem closedBall_mono {p : Seminorm 𝕜 E} {r₁ r₂ : ℝ} (h : r₁ ≤ r₂) :
     p.closedBall x r₁ ⊆ p.closedBall x r₂ := fun _ (hx : _ ≤ _) => hx.trans h
 #align seminorm.closed_ball_mono Seminorm.closedBall_mono
 
+/- warning: seminorm.ball_antitone -> Seminorm.ball_antitone is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : SMul.{u1, u2} 𝕜 E] {x : E} {r : Real} {p : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3} {q : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3}, (LE.le.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) (Preorder.toLE.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) (PartialOrder.toPreorder.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) (Seminorm.partialOrder.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3))) q p) -> (HasSubset.Subset.{u2} (Set.{u2} E) (Set.hasSubset.{u2} E) (Seminorm.ball.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 p x r) (Seminorm.ball.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 q x r))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_2 : AddCommGroup.{u1} E] [_inst_3 : SMul.{u2, u1} 𝕜 E] {x : E} {r : Real} {p : Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_2) _inst_3} {q : Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_2) _inst_3}, (LE.le.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_2) _inst_3) (Preorder.toLE.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_2) _inst_3) (PartialOrder.toPreorder.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_2) _inst_3) (Seminorm.instPartialOrderSeminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_2) _inst_3))) q p) -> (HasSubset.Subset.{u1} (Set.{u1} E) (Set.instHasSubsetSet.{u1} E) (Seminorm.ball.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3 p x r) (Seminorm.ball.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3 q x r))
+Case conversion may be inaccurate. Consider using '#align seminorm.ball_antitone Seminorm.ball_antitoneₓ'. -/
 theorem ball_antitone {p q : Seminorm 𝕜 E} (h : q ≤ p) : p.ball x r ⊆ q.ball x r := fun _ =>
   (h _).trans_lt
 #align seminorm.ball_antitone Seminorm.ball_antitone
 
+/- warning: seminorm.closed_ball_antitone -> Seminorm.closedBall_antitone is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : SMul.{u1, u2} 𝕜 E] {x : E} {r : Real} {p : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3} {q : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3}, (LE.le.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) (Preorder.toLE.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) (PartialOrder.toPreorder.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) (Seminorm.partialOrder.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3))) q p) -> (HasSubset.Subset.{u2} (Set.{u2} E) (Set.hasSubset.{u2} E) (Seminorm.closedBall.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 p x r) (Seminorm.closedBall.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 q x r))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_2 : AddCommGroup.{u1} E] [_inst_3 : SMul.{u2, u1} 𝕜 E] {x : E} {r : Real} {p : Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_2) _inst_3} {q : Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_2) _inst_3}, (LE.le.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_2) _inst_3) (Preorder.toLE.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_2) _inst_3) (PartialOrder.toPreorder.{u1} (Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_2) _inst_3) (Seminorm.instPartialOrderSeminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_2) _inst_3))) q p) -> (HasSubset.Subset.{u1} (Set.{u1} E) (Set.instHasSubsetSet.{u1} E) (Seminorm.closedBall.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3 p x r) (Seminorm.closedBall.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3 q x r))
+Case conversion may be inaccurate. Consider using '#align seminorm.closed_ball_antitone Seminorm.closedBall_antitoneₓ'. -/
 theorem closedBall_antitone {p q : Seminorm 𝕜 E} (h : q ≤ p) :
     p.closedBall x r ⊆ q.closedBall x r := fun _ => (h _).trans
 #align seminorm.closed_ball_antitone Seminorm.closedBall_antitone
 
+/- warning: seminorm.ball_add_ball_subset -> Seminorm.ball_add_ball_subset is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : SMul.{u1, u2} 𝕜 E] (p : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) _inst_3) (r₁ : Real) (r₂ : Real) (x₁ : E) (x₂ : E), HasSubset.Subset.{u2} (Set.{u2} E) (Set.hasSubset.{u2} E) (HAdd.hAdd.{u2, u2, u2} (Set.{u2} E) (Set.{u2} E) (Set.{u2} E) (instHAdd.{u2} (Set.{u2} E) (Set.add.{u2} E (AddZeroClass.toHasAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))))))) (Seminorm.ball.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 p x₁ r₁) (Seminorm.ball.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 p x₂ r₂)) (Seminorm.ball.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3 p (HAdd.hAdd.{u2, u2, u2} E E E (instHAdd.{u2} E (AddZeroClass.toHasAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)))))) x₁ x₂) (HAdd.hAdd.{0, 0, 0} Real Real Real (instHAdd.{0} Real Real.hasAdd) r₁ r₂))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_2 : AddCommGroup.{u1} E] [_inst_3 : SMul.{u2, u1} 𝕜 E] (p : Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_2) _inst_3) (r₁ : Real) (r₂ : Real) (x₁ : E) (x₂ : E), HasSubset.Subset.{u1} (Set.{u1} E) (Set.instHasSubsetSet.{u1} E) (HAdd.hAdd.{u1, u1, u1} (Set.{u1} E) (Set.{u1} E) (Set.{u1} E) (instHAdd.{u1} (Set.{u1} E) (Set.add.{u1} E (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_2))))))) (Seminorm.ball.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3 p x₁ r₁) (Seminorm.ball.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3 p x₂ r₂)) (Seminorm.ball.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3 p (HAdd.hAdd.{u1, u1, u1} E E E (instHAdd.{u1} E (AddZeroClass.toAdd.{u1} E (AddMonoid.toAddZeroClass.{u1} E (SubNegMonoid.toAddMonoid.{u1} E (AddGroup.toSubNegMonoid.{u1} E (AddCommGroup.toAddGroup.{u1} E _inst_2)))))) x₁ x₂) (HAdd.hAdd.{0, 0, 0} Real Real Real (instHAdd.{0} Real Real.instAddReal) r₁ r₂))
+Case conversion may be inaccurate. Consider using '#align seminorm.ball_add_ball_subset Seminorm.ball_add_ball_subsetₓ'. -/
 theorem ball_add_ball_subset (p : Seminorm 𝕜 E) (r₁ r₂ : ℝ) (x₁ x₂ : E) :
     p.ball (x₁ : E) r₁ + p.ball (x₂ : E) r₂ ⊆ p.ball (x₁ + x₂) (r₁ + r₂) :=
   by
@@ -751,6 +1173,12 @@ theorem ball_add_ball_subset (p : Seminorm 𝕜 E) (r₁ r₂ : ℝ) (x₁ x₂
   exact (map_add_le_add p _ _).trans_lt (add_lt_add hy₁ hy₂)
 #align seminorm.ball_add_ball_subset Seminorm.ball_add_ball_subset
 
+/- warning: seminorm.closed_ball_add_closed_ball_subset -> Seminorm.closedBall_add_closedBall_subset is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align seminorm.closed_ball_add_closed_ball_subset Seminorm.closedBall_add_closedBall_subsetₓ'. -/
 theorem closedBall_add_closedBall_subset (p : Seminorm 𝕜 E) (r₁ r₂ : ℝ) (x₁ x₂ : E) :
     p.closedBall (x₁ : E) r₁ + p.closedBall (x₂ : E) r₂ ⊆ p.closedBall (x₁ + x₂) (r₁ + r₂) :=
   by
@@ -759,16 +1187,34 @@ theorem closedBall_add_closedBall_subset (p : Seminorm 𝕜 E) (r₁ r₂ : ℝ)
   exact (map_add_le_add p _ _).trans (add_le_add hy₁ hy₂)
 #align seminorm.closed_ball_add_closed_ball_subset Seminorm.closedBall_add_closedBall_subset
 
+/- warning: seminorm.sub_mem_ball -> Seminorm.sub_mem_ball is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align seminorm.sub_mem_ball Seminorm.sub_mem_ballₓ'. -/
 theorem sub_mem_ball (p : Seminorm 𝕜 E) (x₁ x₂ y : E) (r : ℝ) :
     x₁ - x₂ ∈ p.ball y r ↔ x₁ ∈ p.ball (x₂ + y) r := by simp_rw [mem_ball, sub_sub]
 #align seminorm.sub_mem_ball Seminorm.sub_mem_ball
 
+/- warning: seminorm.vadd_ball -> Seminorm.vadd_ball is a dubious translation:
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+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align seminorm.vadd_ball Seminorm.vadd_ballₓ'. -/
 /-- The image of a ball under addition with a singleton is another ball. -/
 theorem vadd_ball (p : Seminorm 𝕜 E) : x +ᵥ p.ball y r = p.ball (x +ᵥ y) r :=
   letI := AddGroupSeminorm.toSeminormedAddCommGroup p.to_add_group_seminorm
   Metric.vadd_ball x y r
 #align seminorm.vadd_ball Seminorm.vadd_ball
 
+/- warning: seminorm.vadd_closed_ball -> Seminorm.vadd_closedBall is a dubious translation:
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+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align seminorm.vadd_closed_ball Seminorm.vadd_closedBallₓ'. -/
 /-- The image of a closed ball under addition with a singleton is another closed ball. -/
 theorem vadd_closedBall (p : Seminorm 𝕜 E) : x +ᵥ p.closedBall y r = p.closedBall (x +ᵥ y) r :=
   letI := AddGroupSeminorm.toSeminormedAddCommGroup p.to_add_group_seminorm
@@ -785,6 +1231,12 @@ variable [SeminormedRing 𝕜₂] [AddCommGroup E₂] [Module 𝕜₂ E₂]
 
 variable {σ₁₂ : 𝕜 →+* 𝕜₂} [RingHomIsometric σ₁₂]
 
+/- warning: seminorm.ball_comp -> Seminorm.ball_comp is a dubious translation:
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(AddCommGroup.toAddCommMonoid.{u3} E _inst_2) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_3 _inst_6) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_4)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_3 _inst_6) => E -> E₂) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜 𝕜₂ E E₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_4)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_3 _inst_6 σ₁₂) f) (Seminorm.ball.{u2, u4} 𝕜₂ E₂ _inst_4 _inst_5 (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ 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(Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_4)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_3 _inst_6) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_4)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_3 _inst_6) => E -> E₂) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜 𝕜₂ E E₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_4)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_3 _inst_6 σ₁₂) f x) r))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {𝕜₂ : Type.{u4}} {E : Type.{u1}} {E₂ : Type.{u3}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_2 : AddCommGroup.{u1} E] [_inst_3 : Module.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)] [_inst_4 : SeminormedRing.{u4} 𝕜₂] [_inst_5 : AddCommGroup.{u3} E₂] [_inst_6 : Module.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5)] {σ₁₂ : RingHom.{u2, u4} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NonAssocRing.toNonAssocSemiring.{u4} 𝕜₂ (Ring.toNonAssocRing.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)))} [_inst_7 : RingHomIsometric.{u2, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)) (SeminormedRing.toNorm.{u2} 𝕜 _inst_1) (SeminormedRing.toNorm.{u4} 𝕜₂ _inst_4) σ₁₂] (p : Seminorm.{u4, u3} 𝕜₂ E₂ _inst_4 (AddCommGroup.toAddGroup.{u3} E₂ _inst_5) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_6))))) (f : LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_3 _inst_6) (x : E) (r : Real), Eq.{succ u1} (Set.{u1} E) (Seminorm.ball.{u2, u1} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))) (Seminorm.comp.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ _inst_1 _inst_4 σ₁₂ _inst_7 _inst_2 _inst_5 _inst_3 _inst_6 p f) x r) 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(SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_6)))) p (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_3 _inst_6) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : E) => E₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_3 _inst_6 σ₁₂) f x) r))
+Case conversion may be inaccurate. Consider using '#align seminorm.ball_comp Seminorm.ball_compₓ'. -/
 theorem ball_comp (p : Seminorm 𝕜₂ E₂) (f : E →ₛₗ[σ₁₂] E₂) (x : E) (r : ℝ) :
     (p.comp f).ball x r = f ⁻¹' p.ball (f x) r :=
   by
@@ -792,6 +1244,12 @@ theorem ball_comp (p : Seminorm 𝕜₂ E₂) (f : E →ₛₗ[σ₁₂] E₂) (
   simp_rw [ball, mem_preimage, comp_apply, Set.mem_setOf_eq, map_sub]
 #align seminorm.ball_comp Seminorm.ball_comp
 
+/- warning: seminorm.closed_ball_comp -> Seminorm.closedBall_comp is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {𝕜₂ : Type.{u2}} {E : Type.{u3}} {E₂ : Type.{u4}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u3} E] [_inst_3 : Module.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)] [_inst_4 : SeminormedRing.{u2} 𝕜₂] [_inst_5 : AddCommGroup.{u4} E₂] [_inst_6 : Module.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_4)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)] {σ₁₂ : RingHom.{u1, u2} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_4)))} [_inst_7 : RingHomIsometric.{u1, u2} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_4)) (SeminormedRing.toHasNorm.{u1} 𝕜 _inst_1) (SeminormedRing.toHasNorm.{u2} 𝕜₂ _inst_4) σ₁₂] (p : Seminorm.{u2, u4} 𝕜₂ E₂ _inst_4 (AddCommGroup.toAddGroup.{u4} E₂ _inst_5) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_4)))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_4))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_4)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_6))))) (f : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_4)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_3 _inst_6) (x : E) (r : Real), Eq.{succ u3} (Set.{u3} E) (Seminorm.closedBall.{u1, u3} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_2)))) (Module.toMulActionWithZero.{u1, u3} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) _inst_3)))) (Seminorm.comp.{u1, u2, u3, u4} 𝕜 𝕜₂ E E₂ _inst_1 _inst_4 σ₁₂ _inst_7 _inst_2 _inst_5 _inst_3 _inst_6 p f) x r) (Set.preimage.{u3, u4} E E₂ (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_4)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_3 _inst_6) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_4)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_3 _inst_6) => E -> E₂) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜 𝕜₂ E E₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_4)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_3 _inst_6 σ₁₂) f) (Seminorm.closedBall.{u2, u4} 𝕜₂ E₂ _inst_4 _inst_5 (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ E₂ (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ E₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_4)))))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_4))) (AddZeroClass.toHasZero.{u4} E₂ (AddMonoid.toAddZeroClass.{u4} E₂ (AddCommMonoid.toAddMonoid.{u4} E₂ (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ E₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_4)) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_6)))) p (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_4)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_3 _inst_6) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_4)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_3 _inst_6) => E -> E₂) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜 𝕜₂ E E₂ (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_4)) (AddCommGroup.toAddCommMonoid.{u3} E _inst_2) (AddCommGroup.toAddCommMonoid.{u4} E₂ _inst_5) _inst_3 _inst_6 σ₁₂) f x) r))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {𝕜₂ : Type.{u4}} {E : Type.{u1}} {E₂ : Type.{u3}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_2 : AddCommGroup.{u1} E] [_inst_3 : Module.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)] [_inst_4 : SeminormedRing.{u4} 𝕜₂] [_inst_5 : AddCommGroup.{u3} E₂] [_inst_6 : Module.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5)] {σ₁₂ : RingHom.{u2, u4} 𝕜 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NonAssocRing.toNonAssocSemiring.{u4} 𝕜₂ (Ring.toNonAssocRing.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)))} [_inst_7 : RingHomIsometric.{u2, u4} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)) (SeminormedRing.toNorm.{u2} 𝕜 _inst_1) (SeminormedRing.toNorm.{u4} 𝕜₂ _inst_4) σ₁₂] (p : Seminorm.{u4, u3} 𝕜₂ E₂ _inst_4 (AddCommGroup.toAddGroup.{u3} E₂ _inst_5) (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_6))))) (f : LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_3 _inst_6) (x : E) (r : Real), Eq.{succ u1} (Set.{u1} E) (Seminorm.closedBall.{u2, u1} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))) (Seminorm.comp.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ _inst_1 _inst_4 σ₁₂ _inst_7 _inst_2 _inst_5 _inst_3 _inst_6 p f) x r) (Set.preimage.{u1, u3} E E₂ (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_3 _inst_6) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : E) => E₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_3 _inst_6 σ₁₂) f) (Seminorm.closedBall.{u4, u3} 𝕜₂ E₂ _inst_4 _inst_5 (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ E₂ (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ E₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ E₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4))) (NegZeroClass.toZero.{u3} E₂ (SubNegZeroMonoid.toNegZeroClass.{u3} E₂ (SubtractionMonoid.toSubNegZeroMonoid.{u3} E₂ (SubtractionCommMonoid.toSubtractionMonoid.{u3} E₂ (AddCommGroup.toDivisionAddCommMonoid.{u3} E₂ _inst_5))))) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ E₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_6)))) p (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)) σ₁₂ E E₂ (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_3 _inst_6) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : E) => E₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜 𝕜₂ E E₂ (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_4)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) (AddCommGroup.toAddCommMonoid.{u3} E₂ _inst_5) _inst_3 _inst_6 σ₁₂) f x) r))
+Case conversion may be inaccurate. Consider using '#align seminorm.closed_ball_comp Seminorm.closedBall_compₓ'. -/
 theorem closedBall_comp (p : Seminorm 𝕜₂ E₂) (f : E →ₛₗ[σ₁₂] E₂) (x : E) (r : ℝ) :
     (p.comp f).closedBall x r = f ⁻¹' p.closedBall (f x) r :=
   by
@@ -801,12 +1259,24 @@ theorem closedBall_comp (p : Seminorm 𝕜₂ E₂) (f : E →ₛₗ[σ₁₂] E
 
 variable (p : Seminorm 𝕜 E)
 
+/- warning: seminorm.preimage_metric_ball -> Seminorm.preimage_metric_ball is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (p : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) {r : Real}, Eq.{succ u2} (Set.{u2} E) (Set.preimage.{u2, 0} E Real (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) 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(MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) p) (Metric.ball.{0} Real Real.pseudoMetricSpace (OfNat.ofNat.{0} Real 0 (OfNat.mk.{0} Real 0 (Zero.zero.{0} Real Real.hasZero))) r)) (setOf.{u2} E (fun (x : E) => LT.lt.{0} Real Real.hasLt (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (fun (_x : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) p x) r))
+but is expected to have type
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (p : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) {r : Real}, Eq.{succ u2} (Set.{u2} E) (Set.preimage.{u2, 0} E Real (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Seminorm.seminormClass.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))))) p) (Metric.ball.{0} Real Real.pseudoMetricSpace (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) r)) (setOf.{u2} E (fun (x : E) => LT.lt.{0} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) x) Real.instLTReal (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Seminorm.seminormClass.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))))) p x) r))
+Case conversion may be inaccurate. Consider using '#align seminorm.preimage_metric_ball Seminorm.preimage_metric_ballₓ'. -/
 theorem preimage_metric_ball {r : ℝ} : p ⁻¹' Metric.ball 0 r = { x | p x < r } :=
   by
   ext x
   simp only [mem_set_of, mem_preimage, mem_ball_zero_iff, Real.norm_of_nonneg (map_nonneg p _)]
 #align seminorm.preimage_metric_ball Seminorm.preimage_metric_ball
 
+/- warning: seminorm.preimage_metric_closed_ball -> Seminorm.preimage_metric_closedBall is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (p : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) {r : Real}, Eq.{succ u2} (Set.{u2} E) (Set.preimage.{u2, 0} E Real (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (fun (_x : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) p) (Metric.closedBall.{0} Real Real.pseudoMetricSpace (OfNat.ofNat.{0} Real 0 (OfNat.mk.{0} Real 0 (Zero.zero.{0} Real Real.hasZero))) r)) (setOf.{u2} E (fun (x : E) => LE.le.{0} Real Real.hasLe (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (fun (_x : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) p x) r))
+but is expected to have type
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (p : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) {r : Real}, Eq.{succ u2} (Set.{u2} E) (Set.preimage.{u2, 0} E Real (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Seminorm.seminormClass.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))))) p) (Metric.closedBall.{0} Real Real.pseudoMetricSpace (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) r)) (setOf.{u2} E (fun (x : E) => LE.le.{0} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) x) Real.instLEReal (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Seminorm.seminormClass.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))))) p x) r))
+Case conversion may be inaccurate. Consider using '#align seminorm.preimage_metric_closed_ball Seminorm.preimage_metric_closedBallₓ'. -/
 theorem preimage_metric_closedBall {r : ℝ} : p ⁻¹' Metric.closedBall 0 r = { x | p x ≤ r } :=
   by
   ext x
@@ -814,26 +1284,56 @@ theorem preimage_metric_closedBall {r : ℝ} : p ⁻¹' Metric.closedBall 0 r =
     Real.norm_of_nonneg (map_nonneg p _)]
 #align seminorm.preimage_metric_closed_ball Seminorm.preimage_metric_closedBall
 
+/- warning: seminorm.ball_zero_eq_preimage_ball -> Seminorm.ball_zero_eq_preimage_ball is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (p : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) {r : Real}, Eq.{succ u2} (Set.{u2} E) (Seminorm.ball.{u1, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) p (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)))))))) r) (Set.preimage.{u2, 0} E Real (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (fun (_x : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) p) (Metric.ball.{0} Real Real.pseudoMetricSpace (OfNat.ofNat.{0} Real 0 (OfNat.mk.{0} Real 0 (Zero.zero.{0} Real Real.hasZero))) r))
+but is expected to have type
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (p : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) {r : Real}, Eq.{succ u2} (Set.{u2} E) (Seminorm.ball.{u1, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) p (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))))) r) (Set.preimage.{u2, 0} E Real (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Seminorm.seminormClass.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))))) p) (Metric.ball.{0} Real Real.pseudoMetricSpace (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) r))
+Case conversion may be inaccurate. Consider using '#align seminorm.ball_zero_eq_preimage_ball Seminorm.ball_zero_eq_preimage_ballₓ'. -/
 theorem ball_zero_eq_preimage_ball {r : ℝ} : p.ball 0 r = p ⁻¹' Metric.ball 0 r := by
   rw [ball_zero_eq, preimage_metric_ball]
 #align seminorm.ball_zero_eq_preimage_ball Seminorm.ball_zero_eq_preimage_ball
 
+/- warning: seminorm.closed_ball_zero_eq_preimage_closed_ball -> Seminorm.closedBall_zero_eq_preimage_closedBall is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (p : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) {r : Real}, Eq.{succ u2} (Set.{u2} E) (Seminorm.closedBall.{u1, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) p (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)))))))) r) (Set.preimage.{u2, 0} E Real (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (fun (_x : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) p) (Metric.closedBall.{0} Real Real.pseudoMetricSpace (OfNat.ofNat.{0} Real 0 (OfNat.mk.{0} Real 0 (Zero.zero.{0} Real Real.hasZero))) r))
+but is expected to have type
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (p : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) {r : Real}, Eq.{succ u2} (Set.{u2} E) (Seminorm.closedBall.{u1, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) p (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))))) r) (Set.preimage.{u2, 0} E Real (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 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(Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Seminorm.seminormClass.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))))) p) (Metric.closedBall.{0} Real Real.pseudoMetricSpace (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) r))
+Case conversion may be inaccurate. Consider using '#align seminorm.closed_ball_zero_eq_preimage_closed_ball Seminorm.closedBall_zero_eq_preimage_closedBallₓ'. -/
 theorem closedBall_zero_eq_preimage_closedBall {r : ℝ} :
     p.closedBall 0 r = p ⁻¹' Metric.closedBall 0 r := by
   rw [closed_ball_zero_eq, preimage_metric_closed_ball]
 #align seminorm.closed_ball_zero_eq_preimage_closed_ball Seminorm.closedBall_zero_eq_preimage_closedBall
 
+/- warning: seminorm.ball_bot -> Seminorm.ball_bot is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {r : Real} (x : E), (LT.lt.{0} Real Real.hasLt (OfNat.ofNat.{0} Real 0 (OfNat.mk.{0} Real 0 (Zero.zero.{0} Real Real.hasZero))) r) -> (Eq.{succ u2} (Set.{u2} E) (Seminorm.ball.{u1, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E 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_inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Seminorm.partialOrder.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))))) (Seminorm.orderBot.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) x r) (Set.univ.{u2} E))
+but is expected to have type
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {r : Real} (x : E), (LT.lt.{0} Real Real.instLTReal (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) r) -> (Eq.{succ u2} (Set.{u2} E) (Seminorm.ball.{u1, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Bot.bot.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (OrderBot.toBot.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Preorder.toLE.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (PartialOrder.toPreorder.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Seminorm.instPartialOrderSeminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))))) (Seminorm.instOrderBotSeminormToAddGroupToSMulToZeroToNegZeroClassToSubNegZeroMonoidToSubtractionMonoidToDivisionAddCommMonoidToSMulZeroClassToZeroToMonoidWithZeroToSemiringToRingToSMulWithZeroToMulActionWithZeroToAddCommMonoidToLEToPreorderInstPartialOrderSeminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) x r) (Set.univ.{u2} E))
+Case conversion may be inaccurate. Consider using '#align seminorm.ball_bot Seminorm.ball_botₓ'. -/
 @[simp]
 theorem ball_bot {r : ℝ} (x : E) (hr : 0 < r) : ball (⊥ : Seminorm 𝕜 E) x r = Set.univ :=
   ball_zero' x hr
 #align seminorm.ball_bot Seminorm.ball_bot
 
+/- warning: seminorm.closed_ball_bot -> Seminorm.closedBall_bot is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {r : Real} (x : E), (LT.lt.{0} Real Real.hasLt (OfNat.ofNat.{0} Real 0 (OfNat.mk.{0} Real 0 (Zero.zero.{0} Real Real.hasZero))) r) -> (Eq.{succ u2} (Set.{u2} E) (Seminorm.closedBall.{u1, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Bot.bot.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (OrderBot.toHasBot.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Preorder.toLE.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (PartialOrder.toPreorder.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Seminorm.partialOrder.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))))) (Seminorm.orderBot.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) x r) (Set.univ.{u2} E))
+but is expected to have type
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {r : Real} (x : E), (LT.lt.{0} Real Real.instLTReal (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) r) -> (Eq.{succ u2} (Set.{u2} E) (Seminorm.closedBall.{u1, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Bot.bot.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (OrderBot.toBot.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Preorder.toLE.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (PartialOrder.toPreorder.{u2} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Seminorm.instPartialOrderSeminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (MonoidWithZero.toZero.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))))) (Seminorm.instOrderBotSeminormToAddGroupToSMulToZeroToNegZeroClassToSubNegZeroMonoidToSubtractionMonoidToDivisionAddCommMonoidToSMulZeroClassToZeroToMonoidWithZeroToSemiringToRingToSMulWithZeroToMulActionWithZeroToAddCommMonoidToLEToPreorderInstPartialOrderSeminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))) x r) (Set.univ.{u2} E))
+Case conversion may be inaccurate. Consider using '#align seminorm.closed_ball_bot Seminorm.closedBall_botₓ'. -/
 @[simp]
 theorem closedBall_bot {r : ℝ} (x : E) (hr : 0 < r) :
     closedBall (⊥ : Seminorm 𝕜 E) x r = Set.univ :=
   closedBall_zero' x hr
 #align seminorm.closed_ball_bot Seminorm.closedBall_bot
 
+/- warning: seminorm.balanced_ball_zero -> Seminorm.balanced_ball_zero is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (p : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (r : Real), Balanced.{u1, u2} 𝕜 E _inst_1 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Seminorm.ball.{u1, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) p (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)))))))) r)
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_2 : AddCommGroup.{u1} E] [_inst_3 : Module.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)] (p : Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) (r : Real), Balanced.{u2, u1} 𝕜 E _inst_1 (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))) (Seminorm.ball.{u2, u1} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))) p (OfNat.ofNat.{u1} E 0 (Zero.toOfNat0.{u1} E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))))) r)
+Case conversion may be inaccurate. Consider using '#align seminorm.balanced_ball_zero Seminorm.balanced_ball_zeroₓ'. -/
 /-- Seminorm-balls at the origin are balanced. -/
 theorem balanced_ball_zero (r : ℝ) : Balanced 𝕜 (ball p 0 r) :=
   by
@@ -845,6 +1345,12 @@ theorem balanced_ball_zero (r : ℝ) : Balanced 𝕜 (ball p 0 r) :=
     
 #align seminorm.balanced_ball_zero Seminorm.balanced_ball_zero
 
+/- warning: seminorm.balanced_closed_ball_zero -> Seminorm.balanced_closedBall_zero is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (p : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (r : Real), Balanced.{u1, u2} 𝕜 E _inst_1 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Seminorm.closedBall.{u1, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) p (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)))))))) r)
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_2 : AddCommGroup.{u1} E] [_inst_3 : Module.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)] (p : Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) (r : Real), Balanced.{u2, u1} 𝕜 E _inst_1 (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))) (Seminorm.closedBall.{u2, u1} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))) p (OfNat.ofNat.{u1} E 0 (Zero.toOfNat0.{u1} E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))))) r)
+Case conversion may be inaccurate. Consider using '#align seminorm.balanced_closed_ball_zero Seminorm.balanced_closedBall_zeroₓ'. -/
 /-- Closed seminorm-balls at the origin are balanced. -/
 theorem balanced_closedBall_zero (r : ℝ) : Balanced 𝕜 (closedBall p 0 r) :=
   by
@@ -856,6 +1362,12 @@ theorem balanced_closedBall_zero (r : ℝ) : Balanced 𝕜 (closedBall p 0 r) :=
     
 #align seminorm.balanced_closed_ball_zero Seminorm.balanced_closedBall_zero
 
+/- warning: seminorm.ball_finset_sup_eq_Inter -> Seminorm.ball_finset_sup_eq_interᵢ is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} {ι : Type.{u3}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (p : ι -> (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) (s : Finset.{u3} ι) (x : E) {r : Real}, (LT.lt.{0} Real Real.hasLt (OfNat.ofNat.{0} Real 0 (OfNat.mk.{0} Real 0 (Zero.zero.{0} Real Real.hasZero))) r) -> (Eq.{succ u2} (Set.{u2} E) (Seminorm.ball.{u1, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 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(AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Seminorm.orderBot.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) s p) x r) (Set.interᵢ.{u2, succ u3} E ι (fun (i : ι) => Set.interᵢ.{u2, 0} E (Membership.Mem.{u3, u3} ι (Finset.{u3} ι) (Finset.hasMem.{u3} ι) i s) (fun (H : Membership.Mem.{u3, u3} ι (Finset.{u3} ι) (Finset.hasMem.{u3} ι) i s) => Seminorm.ball.{u1, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (p i) x r))))
+but is expected to have type
+  forall {𝕜 : Type.{u3}} {E : Type.{u2}} {ι : Type.{u1}} [_inst_1 : SeminormedRing.{u3} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (p : ι -> (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) (s : Finset.{u1} ι) (x : E) {r : Real}, (LT.lt.{0} Real Real.instLTReal (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) r) -> (Eq.{succ u2} (Set.{u2} E) (Seminorm.ball.{u3, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Finset.sup.{u2, u1} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) ι (Seminorm.semilatticeSup.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Seminorm.instOrderBotSeminormToAddGroupToSMulToZeroToNegZeroClassToSubNegZeroMonoidToSubtractionMonoidToDivisionAddCommMonoidToSMulZeroClassToZeroToMonoidWithZeroToSemiringToRingToSMulWithZeroToMulActionWithZeroToAddCommMonoidToLEToPreorderInstPartialOrderSeminorm.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3) s p) x r) (Set.interᵢ.{u2, succ u1} E ι (fun (i : ι) => Set.interᵢ.{u2, 0} E (Membership.mem.{u1, u1} ι (Finset.{u1} ι) (Finset.instMembershipFinset.{u1} ι) i s) (fun (H : Membership.mem.{u1, u1} ι (Finset.{u1} ι) (Finset.instMembershipFinset.{u1} ι) i s) => Seminorm.ball.{u3, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (p i) x r))))
+Case conversion may be inaccurate. Consider using '#align seminorm.ball_finset_sup_eq_Inter Seminorm.ball_finset_sup_eq_interᵢₓ'. -/
 theorem ball_finset_sup_eq_interᵢ (p : ι → Seminorm 𝕜 E) (s : Finset ι) (x : E) {r : ℝ}
     (hr : 0 < r) : ball (s.sup p) x r = ⋂ i ∈ s, ball (p i) x r :=
   by
@@ -864,6 +1376,12 @@ theorem ball_finset_sup_eq_interᵢ (p : ι → Seminorm 𝕜 E) (s : Finset ι)
     Finset.sup_lt_iff (show ⊥ < r from hr), ← NNReal.coe_lt_coe, Subtype.coe_mk]
 #align seminorm.ball_finset_sup_eq_Inter Seminorm.ball_finset_sup_eq_interᵢ
 
+/- warning: seminorm.closed_ball_finset_sup_eq_Inter -> Seminorm.closedBall_finset_sup_eq_interᵢ is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} {ι : Type.{u3}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (p : ι -> (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) (s : Finset.{u3} ι) (x : E) {r : Real}, (LE.le.{0} Real Real.hasLe (OfNat.ofNat.{0} Real 0 (OfNat.mk.{0} Real 0 (Zero.zero.{0} Real Real.hasZero))) r) -> (Eq.{succ u2} (Set.{u2} E) (Seminorm.closedBall.{u1, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Finset.sup.{u2, u3} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) ι (Seminorm.semilatticeSup.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Seminorm.orderBot.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) s p) x r) (Set.interᵢ.{u2, succ u3} E ι (fun (i : ι) => Set.interᵢ.{u2, 0} E (Membership.Mem.{u3, u3} ι (Finset.{u3} ι) (Finset.hasMem.{u3} ι) i s) (fun (H : Membership.Mem.{u3, u3} ι (Finset.{u3} ι) (Finset.hasMem.{u3} ι) i s) => Seminorm.closedBall.{u1, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (p i) x r))))
+but is expected to have type
+  forall {𝕜 : Type.{u3}} {E : Type.{u2}} {ι : Type.{u1}} [_inst_1 : SeminormedRing.{u3} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (p : ι -> (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) (s : Finset.{u1} ι) (x : E) {r : Real}, (LE.le.{0} Real Real.instLEReal (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) r) -> (Eq.{succ u2} (Set.{u2} E) (Seminorm.closedBall.{u3, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Finset.sup.{u2, u1} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) ι (Seminorm.semilatticeSup.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Seminorm.instOrderBotSeminormToAddGroupToSMulToZeroToNegZeroClassToSubNegZeroMonoidToSubtractionMonoidToDivisionAddCommMonoidToSMulZeroClassToZeroToMonoidWithZeroToSemiringToRingToSMulWithZeroToMulActionWithZeroToAddCommMonoidToLEToPreorderInstPartialOrderSeminorm.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3) s p) x r) (Set.interᵢ.{u2, succ u1} E ι (fun (i : ι) => Set.interᵢ.{u2, 0} E (Membership.mem.{u1, u1} ι (Finset.{u1} ι) (Finset.instMembershipFinset.{u1} ι) i s) (fun (H : Membership.mem.{u1, u1} ι (Finset.{u1} ι) (Finset.instMembershipFinset.{u1} ι) i s) => Seminorm.closedBall.{u3, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (p i) x r))))
+Case conversion may be inaccurate. Consider using '#align seminorm.closed_ball_finset_sup_eq_Inter Seminorm.closedBall_finset_sup_eq_interᵢₓ'. -/
 theorem closedBall_finset_sup_eq_interᵢ (p : ι → Seminorm 𝕜 E) (s : Finset ι) (x : E) {r : ℝ}
     (hr : 0 ≤ r) : closedBall (s.sup p) x r = ⋂ i ∈ s, closedBall (p i) x r :=
   by
@@ -872,6 +1390,12 @@ theorem closedBall_finset_sup_eq_interᵢ (p : ι → Seminorm 𝕜 E) (s : Fins
     NNReal.coe_le_coe, Subtype.coe_mk]
 #align seminorm.closed_ball_finset_sup_eq_Inter Seminorm.closedBall_finset_sup_eq_interᵢ
 
+/- warning: seminorm.ball_finset_sup -> Seminorm.ball_finset_sup is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} {ι : Type.{u3}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (p : ι -> (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) (s : Finset.{u3} ι) (x : E) {r : Real}, (LT.lt.{0} Real Real.hasLt (OfNat.ofNat.{0} Real 0 (OfNat.mk.{0} Real 0 (Zero.zero.{0} Real Real.hasZero))) r) -> (Eq.{succ u2} (Set.{u2} E) (Seminorm.ball.{u1, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Finset.sup.{u2, u3} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) ι (Seminorm.semilatticeSup.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Seminorm.orderBot.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) s p) x r) (Finset.inf.{u2, u3} (Set.{u2} E) ι (Lattice.toSemilatticeInf.{u2} (Set.{u2} E) (ConditionallyCompleteLattice.toLattice.{u2} (Set.{u2} E) (CompleteLattice.toConditionallyCompleteLattice.{u2} (Set.{u2} E) (Order.Coframe.toCompleteLattice.{u2} (Set.{u2} E) (CompleteDistribLattice.toCoframe.{u2} (Set.{u2} E) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u2} (Set.{u2} E) (Set.completeBooleanAlgebra.{u2} E))))))) (Set.orderTop.{u2} E) s (fun (i : ι) => Seminorm.ball.{u1, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (p i) x r)))
+but is expected to have type
+  forall {𝕜 : Type.{u3}} {E : Type.{u2}} {ι : Type.{u1}} [_inst_1 : SeminormedRing.{u3} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (p : ι -> (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) (s : Finset.{u1} ι) (x : E) {r : Real}, (LT.lt.{0} Real Real.instLTReal (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) r) -> (Eq.{succ u2} (Set.{u2} E) (Seminorm.ball.{u3, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Finset.sup.{u2, u1} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) ι (Seminorm.semilatticeSup.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Seminorm.instOrderBotSeminormToAddGroupToSMulToZeroToNegZeroClassToSubNegZeroMonoidToSubtractionMonoidToDivisionAddCommMonoidToSMulZeroClassToZeroToMonoidWithZeroToSemiringToRingToSMulWithZeroToMulActionWithZeroToAddCommMonoidToLEToPreorderInstPartialOrderSeminorm.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3) s p) x r) (Finset.inf.{u2, u1} (Set.{u2} E) ι (Lattice.toSemilatticeInf.{u2} (Set.{u2} E) (ConditionallyCompleteLattice.toLattice.{u2} (Set.{u2} E) (CompleteLattice.toConditionallyCompleteLattice.{u2} (Set.{u2} E) (Order.Coframe.toCompleteLattice.{u2} (Set.{u2} E) (CompleteDistribLattice.toCoframe.{u2} (Set.{u2} E) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u2} (Set.{u2} E) (Set.instCompleteBooleanAlgebraSet.{u2} E))))))) (Set.instOrderTopSetInstLESet.{u2} E) s (fun (i : ι) => Seminorm.ball.{u3, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (p i) x r)))
+Case conversion may be inaccurate. Consider using '#align seminorm.ball_finset_sup Seminorm.ball_finset_supₓ'. -/
 theorem ball_finset_sup (p : ι → Seminorm 𝕜 E) (s : Finset ι) (x : E) {r : ℝ} (hr : 0 < r) :
     ball (s.sup p) x r = s.inf fun i => ball (p i) x r :=
   by
@@ -879,6 +1403,12 @@ theorem ball_finset_sup (p : ι → Seminorm 𝕜 E) (s : Finset ι) (x : E) {r
   exact ball_finset_sup_eq_Inter _ _ _ hr
 #align seminorm.ball_finset_sup Seminorm.ball_finset_sup
 
+/- warning: seminorm.closed_ball_finset_sup -> Seminorm.closedBall_finset_sup is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} {ι : Type.{u3}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (p : ι -> (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) (s : Finset.{u3} ι) (x : E) {r : Real}, (LE.le.{0} Real Real.hasLe (OfNat.ofNat.{0} Real 0 (OfNat.mk.{0} Real 0 (Zero.zero.{0} Real Real.hasZero))) r) -> (Eq.{succ u2} (Set.{u2} E) (Seminorm.closedBall.{u1, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Finset.sup.{u2, u3} (Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) ι (Seminorm.semilatticeSup.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Seminorm.orderBot.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3) s p) x r) (Finset.inf.{u2, u3} (Set.{u2} E) ι (Lattice.toSemilatticeInf.{u2} (Set.{u2} E) (ConditionallyCompleteLattice.toLattice.{u2} (Set.{u2} E) (CompleteLattice.toConditionallyCompleteLattice.{u2} (Set.{u2} E) (Order.Coframe.toCompleteLattice.{u2} (Set.{u2} E) (CompleteDistribLattice.toCoframe.{u2} (Set.{u2} E) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u2} (Set.{u2} E) (Set.completeBooleanAlgebra.{u2} E))))))) (Set.orderTop.{u2} E) s (fun (i : ι) => Seminorm.closedBall.{u1, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (p i) x r)))
+but is expected to have type
+  forall {𝕜 : Type.{u3}} {E : Type.{u2}} {ι : Type.{u1}} [_inst_1 : SeminormedRing.{u3} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (p : ι -> (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))) (s : Finset.{u1} ι) (x : E) {r : Real}, (LE.le.{0} Real Real.instLEReal (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) r) -> (Eq.{succ u2} (Set.{u2} E) (Seminorm.closedBall.{u3, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Finset.sup.{u2, u1} (Seminorm.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) ι (Seminorm.semilatticeSup.{u3, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Seminorm.instOrderBotSeminormToAddGroupToSMulToZeroToNegZeroClassToSubNegZeroMonoidToSubtractionMonoidToDivisionAddCommMonoidToSMulZeroClassToZeroToMonoidWithZeroToSemiringToRingToSMulWithZeroToMulActionWithZeroToAddCommMonoidToLEToPreorderInstPartialOrderSeminorm.{u3, u2} 𝕜 E _inst_1 _inst_2 _inst_3) s p) x r) (Finset.inf.{u2, u1} (Set.{u2} E) ι (Lattice.toSemilatticeInf.{u2} (Set.{u2} E) (ConditionallyCompleteLattice.toLattice.{u2} (Set.{u2} E) (CompleteLattice.toConditionallyCompleteLattice.{u2} (Set.{u2} E) (Order.Coframe.toCompleteLattice.{u2} (Set.{u2} E) (CompleteDistribLattice.toCoframe.{u2} (Set.{u2} E) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u2} (Set.{u2} E) (Set.instCompleteBooleanAlgebraSet.{u2} E))))))) (Set.instOrderTopSetInstLESet.{u2} E) s (fun (i : ι) => Seminorm.closedBall.{u3, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toSMul.{u3, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜 E (MonoidWithZero.toZero.{u3} 𝕜 (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜 E (Semiring.toMonoidWithZero.{u3} 𝕜 (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u3, u2} 𝕜 E (Ring.toSemiring.{u3} 𝕜 (SeminormedRing.toRing.{u3} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (p i) x r)))
+Case conversion may be inaccurate. Consider using '#align seminorm.closed_ball_finset_sup Seminorm.closedBall_finset_supₓ'. -/
 theorem closedBall_finset_sup (p : ι → Seminorm 𝕜 E) (s : Finset ι) (x : E) {r : ℝ} (hr : 0 ≤ r) :
     closedBall (s.sup p) x r = s.inf fun i => closedBall (p i) x r :=
   by
@@ -886,6 +1416,12 @@ theorem closedBall_finset_sup (p : ι → Seminorm 𝕜 E) (s : Finset ι) (x :
   exact closed_ball_finset_sup_eq_Inter _ _ _ hr
 #align seminorm.closed_ball_finset_sup Seminorm.closedBall_finset_sup
 
+/- warning: seminorm.ball_smul_ball -> Seminorm.ball_smul_ball is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (p : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (r₁ : Real) (r₂ : Real), HasSubset.Subset.{u2} (Set.{u2} E) (Set.hasSubset.{u2} E) (SMul.smul.{u1, u2} (Set.{u1} 𝕜) (Set.{u2} E) (Set.smul.{u1, u2} 𝕜 E (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Metric.ball.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))))))))) r₁) (Seminorm.ball.{u1, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) p (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)))))))) r₂)) (Seminorm.ball.{u1, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) p (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)))))))) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) r₁ r₂))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_2 : AddCommGroup.{u1} E] [_inst_3 : Module.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)] (p : Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) (r₁ : Real) (r₂ : Real), HasSubset.Subset.{u1} (Set.{u1} E) (Set.instHasSubsetSet.{u1} E) (HSMul.hSMul.{u2, u1, u1} (Set.{u2} 𝕜) (Set.{u1} E) (Set.{u1} E) (instHSMul.{u2, u1} (Set.{u2} 𝕜) (Set.{u1} E) (Set.smul.{u2, u1} 𝕜 E (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))))) (Metric.ball.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 _inst_1) (OfNat.ofNat.{u2} 𝕜 0 (Zero.toOfNat0.{u2} 𝕜 (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))))) r₁) (Seminorm.ball.{u2, u1} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))) p (OfNat.ofNat.{u1} E 0 (Zero.toOfNat0.{u1} E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))))) r₂)) (Seminorm.ball.{u2, u1} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))) p (OfNat.ofNat.{u1} E 0 (Zero.toOfNat0.{u1} E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))))) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) r₁ r₂))
+Case conversion may be inaccurate. Consider using '#align seminorm.ball_smul_ball Seminorm.ball_smul_ballₓ'. -/
 theorem ball_smul_ball (p : Seminorm 𝕜 E) (r₁ r₂ : ℝ) :
     Metric.ball (0 : 𝕜) r₁ • p.ball 0 r₂ ⊆ p.ball 0 (r₁ * r₂) :=
   by
@@ -898,6 +1434,12 @@ theorem ball_smul_ball (p : Seminorm 𝕜 E) (r₁ r₂ : ℝ) :
     mul_lt_mul'' (mem_ball_zero_iff.mp ha) (p.mem_ball_zero.mp hy) (norm_nonneg a) (map_nonneg p y)
 #align seminorm.ball_smul_ball Seminorm.ball_smul_ball
 
+/- warning: seminorm.closed_ball_smul_closed_ball -> Seminorm.closedBall_smul_closedBall is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (p : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (r₁ : Real) (r₂ : Real), HasSubset.Subset.{u2} (Set.{u2} E) (Set.hasSubset.{u2} E) (SMul.smul.{u1, u2} (Set.{u1} 𝕜) (Set.{u2} E) (Set.smul.{u1, u2} 𝕜 E (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (Metric.closedBall.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 _inst_1) (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))))))))) r₁) (Seminorm.closedBall.{u1, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) p (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)))))))) r₂)) (Seminorm.closedBall.{u1, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) p (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)))))))) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) r₁ r₂))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_2 : AddCommGroup.{u1} E] [_inst_3 : Module.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)] (p : Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) (r₁ : Real) (r₂ : Real), HasSubset.Subset.{u1} (Set.{u1} E) (Set.instHasSubsetSet.{u1} E) (HSMul.hSMul.{u2, u1, u1} (Set.{u2} 𝕜) (Set.{u1} E) (Set.{u1} E) (instHSMul.{u2, u1} (Set.{u2} 𝕜) (Set.{u1} E) (Set.smul.{u2, u1} 𝕜 E (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))))) (Metric.closedBall.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 _inst_1) (OfNat.ofNat.{u2} 𝕜 0 (Zero.toOfNat0.{u2} 𝕜 (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))))) r₁) (Seminorm.closedBall.{u2, u1} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))) p (OfNat.ofNat.{u1} E 0 (Zero.toOfNat0.{u1} E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))))) r₂)) (Seminorm.closedBall.{u2, u1} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))) p (OfNat.ofNat.{u1} E 0 (Zero.toOfNat0.{u1} E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))))) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) r₁ r₂))
+Case conversion may be inaccurate. Consider using '#align seminorm.closed_ball_smul_closed_ball Seminorm.closedBall_smul_closedBallₓ'. -/
 theorem closedBall_smul_closedBall (p : Seminorm 𝕜 E) (r₁ r₂ : ℝ) :
     Metric.closedBall (0 : 𝕜) r₁ • p.closedBall 0 r₂ ⊆ p.closedBall 0 (r₁ * r₂) :=
   by
@@ -910,6 +1452,12 @@ theorem closedBall_smul_closedBall (p : Seminorm 𝕜 E) (r₁ r₂ : ℝ) :
   exact mul_le_mul ha (p.mem_closed_ball_zero.mp hy) (map_nonneg _ y) ((norm_nonneg a).trans ha)
 #align seminorm.closed_ball_smul_closed_ball Seminorm.closedBall_smul_closedBall
 
+/- warning: seminorm.ball_eq_emptyset -> Seminorm.ball_eq_emptyset is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (p : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) {x : E} {r : Real}, (LE.le.{0} Real Real.hasLe r (OfNat.ofNat.{0} Real 0 (OfNat.mk.{0} Real 0 (Zero.zero.{0} Real Real.hasZero)))) -> (Eq.{succ u2} (Set.{u2} E) (Seminorm.ball.{u1, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) p x r) (EmptyCollection.emptyCollection.{u2} (Set.{u2} E) (Set.hasEmptyc.{u2} E)))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_2 : AddCommGroup.{u1} E] [_inst_3 : Module.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)] (p : Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) {x : E} {r : Real}, (LE.le.{0} Real Real.instLEReal r (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal))) -> (Eq.{succ u1} (Set.{u1} E) (Seminorm.ball.{u2, u1} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))) p x r) (EmptyCollection.emptyCollection.{u1} (Set.{u1} E) (Set.instEmptyCollectionSet.{u1} E)))
+Case conversion may be inaccurate. Consider using '#align seminorm.ball_eq_emptyset Seminorm.ball_eq_emptysetₓ'. -/
 @[simp]
 theorem ball_eq_emptyset (p : Seminorm 𝕜 E) {x : E} {r : ℝ} (hr : r ≤ 0) : p.ball x r = ∅ :=
   by
@@ -918,6 +1466,12 @@ theorem ball_eq_emptyset (p : Seminorm 𝕜 E) {x : E} {r : ℝ} (hr : r ≤ 0)
   exact hr.trans (map_nonneg p _)
 #align seminorm.ball_eq_emptyset Seminorm.ball_eq_emptyset
 
+/- warning: seminorm.closed_ball_eq_emptyset -> Seminorm.closedBall_eq_emptyset is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : SeminormedRing.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (p : Seminorm.{u1, u2} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) {x : E} {r : Real}, (LT.lt.{0} Real Real.hasLt r (OfNat.ofNat.{0} Real 0 (OfNat.mk.{0} Real 0 (Zero.zero.{0} Real Real.hasZero)))) -> (Eq.{succ u2} (Set.{u2} E) (Seminorm.closedBall.{u1, u2} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (SeminormedRing.toRing.{u1} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) p x r) (EmptyCollection.emptyCollection.{u2} (Set.{u2} E) (Set.hasEmptyc.{u2} E)))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : SeminormedRing.{u2} 𝕜] [_inst_2 : AddCommGroup.{u1} E] [_inst_3 : Module.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)] (p : Seminorm.{u2, u1} 𝕜 E _inst_1 (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) {x : E} {r : Real}, (LT.lt.{0} Real Real.instLTReal r (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal))) -> (Eq.{succ u1} (Set.{u1} E) (Seminorm.closedBall.{u2, u1} 𝕜 E _inst_1 _inst_2 (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (MonoidWithZero.toZero.{u2} 𝕜 (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (SeminormedRing.toRing.{u2} 𝕜 _inst_1)) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))) p x r) (EmptyCollection.emptyCollection.{u1} (Set.{u1} E) (Set.instEmptyCollectionSet.{u1} E)))
+Case conversion may be inaccurate. Consider using '#align seminorm.closed_ball_eq_emptyset Seminorm.closedBall_eq_emptysetₓ'. -/
 @[simp]
 theorem closedBall_eq_emptyset (p : Seminorm 𝕜 E) {x : E} {r : ℝ} (hr : r < 0) :
     p.closedBall x r = ∅ := by
@@ -937,6 +1491,12 @@ section NormedField
 variable [NormedField 𝕜] [AddCommGroup E] [Module 𝕜 E] (p : Seminorm 𝕜 E) {A B : Set E} {a : 𝕜}
   {r : ℝ} {x : E}
 
+/- warning: seminorm.ball_norm_mul_subset -> Seminorm.ball_norm_mul_subset is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {p : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))} {k : 𝕜} {r : Real}, HasSubset.Subset.{u2} (Set.{u2} E) (Set.hasSubset.{u2} E) (Seminorm.ball.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) p (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)))))))) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) (Norm.norm.{u1} 𝕜 (NormedField.toHasNorm.{u1} 𝕜 _inst_1) k) r)) (SMul.smul.{u1, u2} 𝕜 (Set.{u2} E) (Set.smulSet.{u1, u2} 𝕜 E (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) k (Seminorm.ball.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) p (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)))))))) r))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : NormedField.{u2} 𝕜] [_inst_2 : AddCommGroup.{u1} E] [_inst_3 : Module.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)] {p : Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))} {k : 𝕜} {r : Real}, HasSubset.Subset.{u1} (Set.{u1} E) (Set.instHasSubsetSet.{u1} E) (Seminorm.ball.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) _inst_2 (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))) p (OfNat.ofNat.{u1} E 0 (Zero.toOfNat0.{u1} E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))))) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (Norm.norm.{u2} 𝕜 (NormedField.toNorm.{u2} 𝕜 _inst_1) k) r)) (HSMul.hSMul.{u2, u1, u1} 𝕜 (Set.{u1} E) (Set.{u1} E) (instHSMul.{u2, u1} 𝕜 (Set.{u1} E) (Set.smulSet.{u2, u1} 𝕜 E (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))))) k (Seminorm.ball.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) _inst_2 (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))) p (OfNat.ofNat.{u1} E 0 (Zero.toOfNat0.{u1} E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))))) r))
+Case conversion may be inaccurate. Consider using '#align seminorm.ball_norm_mul_subset Seminorm.ball_norm_mul_subsetₓ'. -/
 theorem ball_norm_mul_subset {p : Seminorm 𝕜 E} {k : 𝕜} {r : ℝ} :
     p.ball 0 (‖k‖ * r) ⊆ k • p.ball 0 r :=
   by
@@ -953,6 +1513,12 @@ theorem ball_norm_mul_subset {p : Seminorm 𝕜 E} {k : 𝕜} {r : ℝ} :
     rw [← smul_assoc, smul_eq_mul, ← div_eq_mul_inv, div_self hk, one_smul]
 #align seminorm.ball_norm_mul_subset Seminorm.ball_norm_mul_subset
 
+/- warning: seminorm.smul_ball_zero -> Seminorm.smul_ball_zero is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {p : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))} {k : 𝕜} {r : Real}, (Ne.{succ u1} 𝕜 k (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))))))) -> (Eq.{succ u2} (Set.{u2} E) (SMul.smul.{u1, u2} 𝕜 (Set.{u2} E) (Set.smulSet.{u1, u2} 𝕜 E (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) k (Seminorm.ball.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) p (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)))))))) r)) (Seminorm.ball.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) p (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)))))))) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) (Norm.norm.{u1} 𝕜 (NormedField.toHasNorm.{u1} 𝕜 _inst_1) k) r)))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : NormedField.{u2} 𝕜] [_inst_2 : AddCommGroup.{u1} E] [_inst_3 : Module.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)] {p : Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))} {k : 𝕜} {r : Real}, (Ne.{succ u2} 𝕜 k (OfNat.ofNat.{u2} 𝕜 0 (Zero.toOfNat0.{u2} 𝕜 (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))))))) -> (Eq.{succ u1} (Set.{u1} E) (HSMul.hSMul.{u2, u1, u1} 𝕜 (Set.{u1} E) (Set.{u1} E) (instHSMul.{u2, u1} 𝕜 (Set.{u1} E) (Set.smulSet.{u2, u1} 𝕜 E (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))))) k (Seminorm.ball.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) _inst_2 (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))) p (OfNat.ofNat.{u1} E 0 (Zero.toOfNat0.{u1} E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))))) r)) (Seminorm.ball.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) _inst_2 (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))) p (OfNat.ofNat.{u1} E 0 (Zero.toOfNat0.{u1} E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))))) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (Norm.norm.{u2} 𝕜 (NormedField.toNorm.{u2} 𝕜 _inst_1) k) r)))
+Case conversion may be inaccurate. Consider using '#align seminorm.smul_ball_zero Seminorm.smul_ball_zeroₓ'. -/
 theorem smul_ball_zero {p : Seminorm 𝕜 E} {k : 𝕜} {r : ℝ} (hk : k ≠ 0) :
     k • p.ball 0 r = p.ball 0 (‖k‖ * r) := by
   ext
@@ -960,6 +1526,12 @@ theorem smul_ball_zero {p : Seminorm 𝕜 E} {k : 𝕜} {r : ℝ} (hk : k ≠ 0)
     norm_inv, ← div_eq_inv_mul, div_lt_iff (norm_pos_iff.2 hk), mul_comm]
 #align seminorm.smul_ball_zero Seminorm.smul_ball_zero
 
+/- warning: seminorm.smul_closed_ball_subset -> Seminorm.smul_closedBall_subset is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {p : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))} {k : 𝕜} {r : Real}, HasSubset.Subset.{u2} (Set.{u2} E) (Set.hasSubset.{u2} E) (SMul.smul.{u1, u2} 𝕜 (Set.{u2} E) (Set.smulSet.{u1, u2} 𝕜 E (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) k (Seminorm.closedBall.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) p (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)))))))) r)) (Seminorm.closedBall.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) p (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)))))))) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) (Norm.norm.{u1} 𝕜 (NormedField.toHasNorm.{u1} 𝕜 _inst_1) k) r))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : NormedField.{u2} 𝕜] [_inst_2 : AddCommGroup.{u1} E] [_inst_3 : Module.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)] {p : Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))} {k : 𝕜} {r : Real}, HasSubset.Subset.{u1} (Set.{u1} E) (Set.instHasSubsetSet.{u1} E) (HSMul.hSMul.{u2, u1, u1} 𝕜 (Set.{u1} E) (Set.{u1} E) (instHSMul.{u2, u1} 𝕜 (Set.{u1} E) (Set.smulSet.{u2, u1} 𝕜 E (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))))) k (Seminorm.closedBall.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) _inst_2 (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))) p (OfNat.ofNat.{u1} E 0 (Zero.toOfNat0.{u1} E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))))) r)) (Seminorm.closedBall.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) _inst_2 (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))) p (OfNat.ofNat.{u1} E 0 (Zero.toOfNat0.{u1} E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))))) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (Norm.norm.{u2} 𝕜 (NormedField.toNorm.{u2} 𝕜 _inst_1) k) r))
+Case conversion may be inaccurate. Consider using '#align seminorm.smul_closed_ball_subset Seminorm.smul_closedBall_subsetₓ'. -/
 theorem smul_closedBall_subset {p : Seminorm 𝕜 E} {k : 𝕜} {r : ℝ} :
     k • p.closedBall 0 r ⊆ p.closedBall 0 (‖k‖ * r) :=
   by
@@ -969,6 +1541,12 @@ theorem smul_closedBall_subset {p : Seminorm 𝕜 E} {k : 𝕜} {r : ℝ} :
   exact mul_le_mul_of_nonneg_left hy (norm_nonneg _)
 #align seminorm.smul_closed_ball_subset Seminorm.smul_closedBall_subset
 
+/- warning: seminorm.smul_closed_ball_zero -> Seminorm.smul_closedBall_zero is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] {p : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))} {k : 𝕜} {r : Real}, (LT.lt.{0} Real Real.hasLt (OfNat.ofNat.{0} Real 0 (OfNat.mk.{0} Real 0 (Zero.zero.{0} Real Real.hasZero))) (Norm.norm.{u1} 𝕜 (NormedField.toHasNorm.{u1} 𝕜 _inst_1) k)) -> (Eq.{succ u2} (Set.{u2} E) (SMul.smul.{u1, u2} 𝕜 (Set.{u2} E) (Set.smulSet.{u1, u2} 𝕜 E (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) k (Seminorm.closedBall.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) p (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)))))))) r)) (Seminorm.closedBall.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) p (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)))))))) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) (Norm.norm.{u1} 𝕜 (NormedField.toHasNorm.{u1} 𝕜 _inst_1) k) r)))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : NormedField.{u2} 𝕜] [_inst_2 : AddCommGroup.{u1} E] [_inst_3 : Module.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)] {p : Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))} {k : 𝕜} {r : Real}, (LT.lt.{0} Real Real.instLTReal (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) (Norm.norm.{u2} 𝕜 (NormedField.toNorm.{u2} 𝕜 _inst_1) k)) -> (Eq.{succ u1} (Set.{u1} E) (HSMul.hSMul.{u2, u1, u1} 𝕜 (Set.{u1} E) (Set.{u1} E) (instHSMul.{u2, u1} 𝕜 (Set.{u1} E) (Set.smulSet.{u2, u1} 𝕜 E (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))))) k (Seminorm.closedBall.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) _inst_2 (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))) p (OfNat.ofNat.{u1} E 0 (Zero.toOfNat0.{u1} E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))))) r)) (Seminorm.closedBall.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) _inst_2 (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))) p (OfNat.ofNat.{u1} E 0 (Zero.toOfNat0.{u1} E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))))) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) (Norm.norm.{u2} 𝕜 (NormedField.toNorm.{u2} 𝕜 _inst_1) k) r)))
+Case conversion may be inaccurate. Consider using '#align seminorm.smul_closed_ball_zero Seminorm.smul_closedBall_zeroₓ'. -/
 theorem smul_closedBall_zero {p : Seminorm 𝕜 E} {k : 𝕜} {r : ℝ} (hk : 0 < ‖k‖) :
     k • p.closedBall 0 r = p.closedBall 0 (‖k‖ * r) :=
   by
@@ -982,6 +1560,12 @@ theorem smul_closedBall_zero {p : Seminorm 𝕜 E} {k : 𝕜} {r : ℝ} (hk : 0
   rw [← smul_assoc, smul_eq_mul, ← div_eq_mul_inv, div_self (norm_pos_iff.mp hk), one_smul]
 #align seminorm.smul_closed_ball_zero Seminorm.smul_closedBall_zero
 
+/- warning: seminorm.ball_zero_absorbs_ball_zero -> Seminorm.ball_zero_absorbs_ball_zero is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (p : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) {r₁ : Real} {r₂ : Real}, (LT.lt.{0} Real Real.hasLt (OfNat.ofNat.{0} Real 0 (OfNat.mk.{0} Real 0 (Zero.zero.{0} Real Real.hasZero))) r₁) -> (Absorbs.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Seminorm.ball.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) p (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)))))))) r₁) (Seminorm.ball.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) p (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)))))))) r₂))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : NormedField.{u2} 𝕜] [_inst_2 : AddCommGroup.{u1} E] [_inst_3 : Module.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)] (p : Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) {r₁ : Real} {r₂ : Real}, (LT.lt.{0} Real Real.instLTReal (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) r₁) -> (Absorbs.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))) (Seminorm.ball.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) _inst_2 (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))) p (OfNat.ofNat.{u1} E 0 (Zero.toOfNat0.{u1} E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))))) r₁) (Seminorm.ball.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) _inst_2 (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))) p (OfNat.ofNat.{u1} E 0 (Zero.toOfNat0.{u1} E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))))) r₂))
+Case conversion may be inaccurate. Consider using '#align seminorm.ball_zero_absorbs_ball_zero Seminorm.ball_zero_absorbs_ball_zeroₓ'. -/
 theorem ball_zero_absorbs_ball_zero (p : Seminorm 𝕜 E) {r₁ r₂ : ℝ} (hr₁ : 0 < r₁) :
     Absorbs 𝕜 (p.ball 0 r₁) (p.ball 0 r₂) :=
   by
@@ -992,6 +1576,12 @@ theorem ball_zero_absorbs_ball_zero (p : Seminorm 𝕜 E) {r₁ r₂ : ℝ} (hr
   exact hx.trans (hr.trans_le <| mul_le_mul_of_nonneg_right ha hr₁.le)
 #align seminorm.ball_zero_absorbs_ball_zero Seminorm.ball_zero_absorbs_ball_zero
 
+/- warning: seminorm.absorbent_ball_zero -> Seminorm.absorbent_ball_zero is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (p : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) {r : Real}, (LT.lt.{0} Real Real.hasLt (OfNat.ofNat.{0} Real 0 (OfNat.mk.{0} Real 0 (Zero.zero.{0} Real Real.hasZero))) r) -> (Absorbent.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Seminorm.ball.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) p (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)))))))) r))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : NormedField.{u2} 𝕜] [_inst_2 : AddCommGroup.{u1} E] [_inst_3 : Module.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)] (p : Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) {r : Real}, (LT.lt.{0} Real Real.instLTReal (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) r) -> (Absorbent.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))) (Seminorm.ball.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) _inst_2 (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))) p (OfNat.ofNat.{u1} E 0 (Zero.toOfNat0.{u1} E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))))) r))
+Case conversion may be inaccurate. Consider using '#align seminorm.absorbent_ball_zero Seminorm.absorbent_ball_zeroₓ'. -/
 /-- Seminorm-balls at the origin are absorbent. -/
 protected theorem absorbent_ball_zero (hr : 0 < r) : Absorbent 𝕜 (ball p (0 : E) r) :=
   absorbent_iff_forall_absorbs_singleton.2 fun x =>
@@ -999,11 +1589,23 @@ protected theorem absorbent_ball_zero (hr : 0 < r) : Absorbent 𝕜 (ball p (0 :
       singleton_subset_iff.2 <| p.mem_ball_zero.2 <| lt_add_one _
 #align seminorm.absorbent_ball_zero Seminorm.absorbent_ball_zero
 
+/- warning: seminorm.absorbent_closed_ball_zero -> Seminorm.absorbent_closedBall_zero is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (p : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) {r : Real}, (LT.lt.{0} Real Real.hasLt (OfNat.ofNat.{0} Real 0 (OfNat.mk.{0} Real 0 (Zero.zero.{0} Real Real.hasZero))) r) -> (Absorbent.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Seminorm.closedBall.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) p (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)))))))) r))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : NormedField.{u2} 𝕜] [_inst_2 : AddCommGroup.{u1} E] [_inst_3 : Module.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)] (p : Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) {r : Real}, (LT.lt.{0} Real Real.instLTReal (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) r) -> (Absorbent.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))) (Seminorm.closedBall.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) _inst_2 (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))) p (OfNat.ofNat.{u1} E 0 (Zero.toOfNat0.{u1} E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))))) r))
+Case conversion may be inaccurate. Consider using '#align seminorm.absorbent_closed_ball_zero Seminorm.absorbent_closedBall_zeroₓ'. -/
 /-- Closed seminorm-balls at the origin are absorbent. -/
 protected theorem absorbent_closedBall_zero (hr : 0 < r) : Absorbent 𝕜 (closedBall p (0 : E) r) :=
   (p.absorbent_ball_zero hr).Subset (p.ball_subset_closedBall _ _)
 #align seminorm.absorbent_closed_ball_zero Seminorm.absorbent_closedBall_zero
 
+/- warning: seminorm.absorbent_ball -> Seminorm.absorbent_ball is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (p : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) {r : Real} {x : E}, (LT.lt.{0} Real Real.hasLt (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (fun (_x : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) p x) r) -> (Absorbent.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Seminorm.ball.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) p x r))
+but is expected to have type
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (p : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) {r : Real} {x : E}, (LT.lt.{0} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) x) Real.instLTReal (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Seminorm.seminormClass.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))))) p x) r) -> (Absorbent.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Seminorm.ball.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) _inst_2 (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) p x r))
+Case conversion may be inaccurate. Consider using '#align seminorm.absorbent_ball Seminorm.absorbent_ballₓ'. -/
 /-- Seminorm-balls containing the origin are absorbent. -/
 protected theorem absorbent_ball (hpr : p x < r) : Absorbent 𝕜 (ball p x r) :=
   by
@@ -1012,6 +1614,12 @@ protected theorem absorbent_ball (hpr : p x < r) : Absorbent 𝕜 (ball p x r) :
   exact p.mem_ball.2 ((map_sub_le_add p _ _).trans_lt <| add_lt_of_lt_sub_right hy)
 #align seminorm.absorbent_ball Seminorm.absorbent_ball
 
+/- warning: seminorm.absorbent_closed_ball -> Seminorm.absorbent_closedBall is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (p : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) {r : Real} {x : E}, (LT.lt.{0} Real Real.hasLt (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (fun (_x : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) p x) r) -> (Absorbent.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Seminorm.closedBall.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) p x r))
+but is expected to have type
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (p : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) {r : Real} {x : E}, (LT.lt.{0} ((fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) x) Real.instLTReal (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Seminorm.seminormClass.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))))))) p x) r) -> (Absorbent.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Seminorm.closedBall.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) _inst_2 (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) p x r))
+Case conversion may be inaccurate. Consider using '#align seminorm.absorbent_closed_ball Seminorm.absorbent_closedBallₓ'. -/
 /-- Seminorm-balls containing the origin are absorbent. -/
 protected theorem absorbent_closedBall (hpr : p x < r) : Absorbent 𝕜 (closedBall p x r) :=
   by
@@ -1020,10 +1628,22 @@ protected theorem absorbent_closedBall (hpr : p x < r) : Absorbent 𝕜 (closedB
   exact p.mem_closed_ball.2 ((map_sub_le_add p _ _).trans <| add_le_of_le_sub_right hy)
 #align seminorm.absorbent_closed_ball Seminorm.absorbent_closedBall
 
+/- warning: seminorm.symmetric_ball_zero -> Seminorm.symmetric_ball_zero is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (p : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) {x : E} (r : Real), (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) x (Seminorm.ball.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) p (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)))))))) r)) -> (Membership.Mem.{u2, u2} E (Set.{u2} E) (Set.hasMem.{u2} E) (Neg.neg.{u2} E (SubNegMonoid.toHasNeg.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))) x) (Seminorm.ball.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) p (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)))))))) r))
+but is expected to have type
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (p : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) {x : E} (r : Real), (Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) x (Seminorm.ball.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) _inst_2 (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) p (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))))) r)) -> (Membership.mem.{u2, u2} E (Set.{u2} E) (Set.instMembershipSet.{u2} E) (Neg.neg.{u2} E (NegZeroClass.toNeg.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) x) (Seminorm.ball.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) _inst_2 (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) p (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))))) r))
+Case conversion may be inaccurate. Consider using '#align seminorm.symmetric_ball_zero Seminorm.symmetric_ball_zeroₓ'. -/
 theorem symmetric_ball_zero (r : ℝ) (hx : x ∈ ball p 0 r) : -x ∈ ball p 0 r :=
   balanced_ball_zero p r (-1) (by rw [norm_neg, norm_one]) ⟨x, hx, by rw [neg_smul, one_smul]⟩
 #align seminorm.symmetric_ball_zero Seminorm.symmetric_ball_zero
 
+/- warning: seminorm.neg_ball -> Seminorm.neg_ball is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (p : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (r : Real) (x : E), Eq.{succ u2} (Set.{u2} E) (Neg.neg.{u2} (Set.{u2} E) (Set.neg.{u2} E (SubNegMonoid.toHasNeg.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2)))) (Seminorm.ball.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) p x r)) (Seminorm.ball.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) p (Neg.neg.{u2} E (SubNegMonoid.toHasNeg.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))) x) r)
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : NormedField.{u2} 𝕜] [_inst_2 : AddCommGroup.{u1} E] [_inst_3 : Module.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)] (p : Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) (r : Real) (x : E), Eq.{succ u1} (Set.{u1} E) (Neg.neg.{u1} (Set.{u1} E) (Set.neg.{u1} E (NegZeroClass.toNeg.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2)))))) (Seminorm.ball.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) _inst_2 (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))) p x r)) (Seminorm.ball.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) _inst_2 (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))) p (Neg.neg.{u1} E (NegZeroClass.toNeg.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) x) r)
+Case conversion may be inaccurate. Consider using '#align seminorm.neg_ball Seminorm.neg_ballₓ'. -/
 @[simp]
 theorem neg_ball (p : Seminorm 𝕜 E) (r : ℝ) (x : E) : -ball p x r = ball p (-x) r :=
   by
@@ -1031,6 +1651,12 @@ theorem neg_ball (p : Seminorm 𝕜 E) (r : ℝ) (x : E) : -ball p x r = ball p
   rw [mem_neg, mem_ball, mem_ball, ← neg_add', sub_neg_eq_add, map_neg_eq_map]
 #align seminorm.neg_ball Seminorm.neg_ball
 
+/- warning: seminorm.smul_ball_preimage -> Seminorm.smul_ball_preimage is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] (p : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3))))) (y : E) (r : Real) (a : 𝕜), (Ne.{succ u1} 𝕜 a (OfNat.ofNat.{u1} 𝕜 0 (OfNat.mk.{u1} 𝕜 0 (Zero.zero.{u1} 𝕜 (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))))))) -> (Eq.{succ u2} (Set.{u2} E) (Set.preimage.{u2, u2} E E (SMul.smul.{u1, u2} 𝕜 E (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) a) (Seminorm.ball.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) p y r)) (Seminorm.ball.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) _inst_2 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) p (SMul.smul.{u1, u2} 𝕜 E (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_3)))) (Inv.inv.{u1} 𝕜 (DivInvMonoid.toHasInv.{u1} 𝕜 (DivisionRing.toDivInvMonoid.{u1} 𝕜 (NormedDivisionRing.toDivisionRing.{u1} 𝕜 (NormedField.toNormedDivisionRing.{u1} 𝕜 _inst_1)))) a) y) (HDiv.hDiv.{0, 0, 0} Real Real Real (instHDiv.{0} Real (DivInvMonoid.toHasDiv.{0} Real (DivisionRing.toDivInvMonoid.{0} Real Real.divisionRing))) r (Norm.norm.{u1} 𝕜 (NormedField.toHasNorm.{u1} 𝕜 _inst_1) a))))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : NormedField.{u2} 𝕜] [_inst_2 : AddCommGroup.{u1} E] [_inst_3 : Module.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2)] (p : Seminorm.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u1} E _inst_2) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) (y : E) (r : Real) (a : 𝕜), (Ne.{succ u2} 𝕜 a (OfNat.ofNat.{u2} 𝕜 0 (Zero.toOfNat0.{u2} 𝕜 (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))))))) -> (Eq.{succ u1} (Set.{u1} E) (Set.preimage.{u1, u1} E E ((fun (x._@.Mathlib.Analysis.Seminorm._hyg.15428 : 𝕜) (x._@.Mathlib.Analysis.Seminorm._hyg.15430 : E) => HSMul.hSMul.{u2, u1, u1} 𝕜 E E (instHSMul.{u2, u1} 𝕜 E (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) x._@.Mathlib.Analysis.Seminorm._hyg.15428 x._@.Mathlib.Analysis.Seminorm._hyg.15430) a) (Seminorm.ball.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) _inst_2 (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))) p y r)) (Seminorm.ball.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) _inst_2 (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3)))) p (HSMul.hSMul.{u2, u1, u1} 𝕜 E E (instHSMul.{u2, u1} 𝕜 E (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_2))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_2) _inst_3))))) (Inv.inv.{u2} 𝕜 (Field.toInv.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)) a) y) (HDiv.hDiv.{0, 0, 0} Real Real Real (instHDiv.{0} Real (LinearOrderedField.toDiv.{0} Real Real.instLinearOrderedFieldReal)) r (Norm.norm.{u2} 𝕜 (NormedField.toNorm.{u2} 𝕜 _inst_1) a))))
+Case conversion may be inaccurate. Consider using '#align seminorm.smul_ball_preimage Seminorm.smul_ball_preimageₓ'. -/
 @[simp]
 theorem smul_ball_preimage (p : Seminorm 𝕜 E) (y : E) (r : ℝ) (a : 𝕜) (ha : a ≠ 0) :
     (· • ·) a ⁻¹' p.ball y r = p.ball (a⁻¹ • y) (r / ‖a‖) :=
@@ -1049,6 +1675,12 @@ section SMul
 
 variable [SMul ℝ E] [IsScalarTower ℝ 𝕜 E] (p : Seminorm 𝕜 E)
 
+/- warning: seminorm.convex_on -> Seminorm.convexOn is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : NormedSpace.{0, u1} Real 𝕜 Real.normedField (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))] [_inst_4 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] [_inst_5 : SMul.{0, u2} Real E] [_inst_6 : IsScalarTower.{0, u1, u2} Real 𝕜 E (SMulZeroClass.toHasSmul.{0, u1} Real 𝕜 (AddZeroClass.toHasZero.{u1} 𝕜 (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddCommMonoid.toAddMonoid.{u1} 𝕜 (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))))) (SMulWithZero.toSmulZeroClass.{0, u1} Real 𝕜 (MulZeroClass.toHasZero.{0} Real (MulZeroOneClass.toMulZeroClass.{0} Real (MonoidWithZero.toMulZeroOneClass.{0} Real (Semiring.toMonoidWithZero.{0} Real (Ring.toSemiring.{0} Real (NormedRing.toRing.{0} Real (NormedCommRing.toNormedRing.{0} Real (NormedField.toNormedCommRing.{0} Real Real.normedField)))))))) (AddZeroClass.toHasZero.{u1} 𝕜 (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddCommMonoid.toAddMonoid.{u1} 𝕜 (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))))) (MulActionWithZero.toSMulWithZero.{0, u1} Real 𝕜 (Semiring.toMonoidWithZero.{0} Real (Ring.toSemiring.{0} Real (NormedRing.toRing.{0} Real (NormedCommRing.toNormedRing.{0} Real (NormedField.toNormedCommRing.{0} Real Real.normedField))))) (AddZeroClass.toHasZero.{u1} 𝕜 (AddMonoid.toAddZeroClass.{u1} 𝕜 (AddCommMonoid.toAddMonoid.{u1} 𝕜 (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))))) (Module.toMulActionWithZero.{0, u1} Real 𝕜 (Ring.toSemiring.{0} Real (NormedRing.toRing.{0} Real (NormedCommRing.toNormedRing.{0} Real (NormedField.toNormedCommRing.{0} Real Real.normedField)))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (SeminormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))))) (NormedSpace.toModule.{0, u1} Real 𝕜 Real.normedField (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) _inst_3))))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_4)))) _inst_5] (p : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_4))))), ConvexOn.{0, u2, 0} Real E Real Real.orderedSemiring (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) Real.orderedAddCommMonoid _inst_5 (Mul.toSMul.{0} Real Real.hasMul) (Set.univ.{u2} E) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_4))))) (fun (_x : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_4))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_4))))) p)
+but is expected to have type
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : AddCommGroup.{u2} E] [_inst_3 : NormedSpace.{0, u1} Real 𝕜 Real.normedField (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))] [_inst_4 : Module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2)] [_inst_5 : SMul.{0, u2} Real E] [_inst_6 : IsScalarTower.{0, u1, u2} Real 𝕜 E (SMulZeroClass.toSMul.{0, u1} Real 𝕜 (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (SMulWithZero.toSMulZeroClass.{0, u1} Real 𝕜 Real.instZeroReal (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (MulActionWithZero.toSMulWithZero.{0, u1} Real 𝕜 Real.instMonoidWithZeroReal (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (Module.toMulActionWithZero.{0, u1} Real 𝕜 Real.semiring (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))))) (NormedSpace.toModule.{0, u1} Real 𝕜 Real.normedField (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) _inst_3))))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_4)))) _inst_5] (p : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_4))))), ConvexOn.{0, u2, 0} Real E Real Real.orderedSemiring (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) Real.orderedAddCommMonoid _inst_5 (Algebra.toSMul.{0, 0} Real Real Real.instCommSemiringReal Real.semiring (NormedAlgebra.toAlgebra.{0, 0} Real Real Real.normedField (SeminormedCommRing.toSeminormedRing.{0} Real (NormedCommRing.toSeminormedCommRing.{0} Real Real.normedCommRing)) (NormedAlgebra.id.{0} Real Real.normedField))) (Set.univ.{u2} E) (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_4))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_4))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_2))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_4))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_2) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_4))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_4)))) (Seminorm.seminormClass.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_2) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_2) _inst_4)))))))) p)
+Case conversion may be inaccurate. Consider using '#align seminorm.convex_on Seminorm.convexOnₓ'. -/
 /-- A seminorm is convex. Also see `convex_on_norm`. -/
 protected theorem convexOn : ConvexOn ℝ univ p :=
   by
@@ -1069,6 +1701,7 @@ section Module
 
 variable [Module ℝ E] [IsScalarTower ℝ 𝕜 E] (p : Seminorm 𝕜 E) (x : E) (r : ℝ)
 
+#print Seminorm.convex_ball /-
 /-- Seminorm-balls are convex. -/
 theorem convex_ball : Convex ℝ (ball p x r) :=
   by
@@ -1077,13 +1710,16 @@ theorem convex_ball : Convex ℝ (ball p x r) :=
   rw [preimage_univ, sep_univ, p.mem_ball, sub_eq_add_neg]
   rfl
 #align seminorm.convex_ball Seminorm.convex_ball
+-/
 
+#print Seminorm.convex_closedBall /-
 /-- Closed seminorm-balls are convex. -/
 theorem convex_closedBall : Convex ℝ (closedBall p x r) :=
   by
   rw [closed_ball_eq_bInter_ball]
   exact convex_interᵢ₂ fun _ _ => convex_ball _ _ _
 #align seminorm.convex_closed_ball Seminorm.convex_closedBall
+-/
 
 end Module
 
@@ -1094,6 +1730,12 @@ section RestrictScalars
 variable (𝕜) {𝕜' : Type _} [NormedField 𝕜] [SeminormedRing 𝕜'] [NormedAlgebra 𝕜 𝕜']
   [NormOneClass 𝕜'] [AddCommGroup E] [Module 𝕜' E] [SMul 𝕜 E] [IsScalarTower 𝕜 𝕜' E]
 
+/- warning: seminorm.restrict_scalars -> Seminorm.restrictScalars is a dubious translation:
+lean 3 declaration is
+  forall (𝕜 : Type.{u1}) {E : Type.{u2}} {𝕜' : Type.{u3}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : SeminormedRing.{u3} 𝕜'] [_inst_3 : NormedAlgebra.{u1, u3} 𝕜 𝕜' _inst_1 _inst_2] [_inst_4 : NormOneClass.{u3} 𝕜' (SeminormedRing.toHasNorm.{u3} 𝕜' _inst_2) (AddMonoidWithOne.toOne.{u3} 𝕜' (AddGroupWithOne.toAddMonoidWithOne.{u3} 𝕜' (AddCommGroupWithOne.toAddGroupWithOne.{u3} 𝕜' (Ring.toAddCommGroupWithOne.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))))] [_inst_5 : AddCommGroup.{u2} E] [_inst_6 : Module.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)] [_inst_7 : SMul.{u1, u2} 𝕜 E] [_inst_8 : IsScalarTower.{u1, u3, u2} 𝕜 𝕜' E (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 𝕜' (AddZeroClass.toHasZero.{u3} 𝕜' (AddMonoid.toAddZeroClass.{u3} 𝕜' (AddCommMonoid.toAddMonoid.{u3} 𝕜' (AddCommGroup.toAddCommMonoid.{u3} 𝕜' (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜' (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜' (SeminormedRing.toNonUnitalSeminormedRing.{u3} 𝕜' _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 𝕜' (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u3} 𝕜' (AddMonoid.toAddZeroClass.{u3} 𝕜' (AddCommMonoid.toAddMonoid.{u3} 𝕜' (AddCommGroup.toAddCommMonoid.{u3} 𝕜' (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜' (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜' (SeminormedRing.toNonUnitalSeminormedRing.{u3} 𝕜' _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 𝕜' (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u3} 𝕜' (AddMonoid.toAddZeroClass.{u3} 𝕜' (AddCommMonoid.toAddMonoid.{u3} 𝕜' (AddCommGroup.toAddCommMonoid.{u3} 𝕜' (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜' (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜' (SeminormedRing.toNonUnitalSeminormedRing.{u3} 𝕜' _inst_2))))))) (Module.toMulActionWithZero.{u1, u3} 𝕜 𝕜' (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u3} 𝕜' (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜' (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜' (SeminormedRing.toNonUnitalSeminormedRing.{u3} 𝕜' _inst_2)))) (NormedSpace.toModule.{u1, u3} 𝕜 𝕜' _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜' (SeminormedRing.toNonUnitalSeminormedRing.{u3} 𝕜' _inst_2)) (NormedAlgebra.toNormedSpace.{u1, u3} 𝕜 𝕜' _inst_1 _inst_2 _inst_3)))))) (SMulZeroClass.toHasSmul.{u3, u2} 𝕜' E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)))) (SMulWithZero.toSmulZeroClass.{u3, u2} 𝕜' E (MulZeroClass.toHasZero.{u3} 𝕜' (MulZeroOneClass.toMulZeroClass.{u3} 𝕜' (MonoidWithZero.toMulZeroOneClass.{u3} 𝕜' (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜' E (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)))) (Module.toMulActionWithZero.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5) _inst_6)))) _inst_7], (Seminorm.{u3, u2} 𝕜' E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_5) (SMulZeroClass.toHasSmul.{u3, u2} 𝕜' E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)))) (SMulWithZero.toSmulZeroClass.{u3, u2} 𝕜' E (MulZeroClass.toHasZero.{u3} 𝕜' (MulZeroOneClass.toMulZeroClass.{u3} 𝕜' (MonoidWithZero.toMulZeroOneClass.{u3} 𝕜' (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜' E (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)))) (Module.toMulActionWithZero.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5) _inst_6))))) -> (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_5) _inst_7)
+but is expected to have type
+  forall (𝕜 : Type.{u1}) {E : Type.{u2}} {𝕜' : Type.{u3}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : SeminormedRing.{u3} 𝕜'] [_inst_3 : NormedAlgebra.{u1, u3} 𝕜 𝕜' _inst_1 _inst_2] [_inst_4 : NormOneClass.{u3} 𝕜' (SeminormedRing.toNorm.{u3} 𝕜' _inst_2) (NonAssocRing.toOne.{u3} 𝕜' (Ring.toNonAssocRing.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))] [_inst_5 : AddCommGroup.{u2} E] [_inst_6 : Module.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)] [_inst_7 : SMul.{u1, u2} 𝕜 E] [_inst_8 : IsScalarTower.{u1, u3, u2} 𝕜 𝕜' E (Algebra.toSMul.{u1, u3} 𝕜 𝕜' (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))) (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (NormedAlgebra.toAlgebra.{u1, u3} 𝕜 𝕜' _inst_1 _inst_2 _inst_3)) (SMulZeroClass.toSMul.{u3, u2} 𝕜' E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜' E (MonoidWithZero.toZero.{u3} 𝕜' (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜' E (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (Module.toMulActionWithZero.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5) _inst_6)))) _inst_7], (Seminorm.{u3, u2} 𝕜' E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_5) (SMulZeroClass.toSMul.{u3, u2} 𝕜' E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜' E (MonoidWithZero.toZero.{u3} 𝕜' (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜' E (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (Module.toMulActionWithZero.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5) _inst_6))))) -> (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_5) _inst_7)
+Case conversion may be inaccurate. Consider using '#align seminorm.restrict_scalars Seminorm.restrictScalarsₓ'. -/
 /-- Reinterpret a seminorm over a field `𝕜'` as a seminorm over a smaller field `𝕜`. This will
 typically be used with `is_R_or_C 𝕜'` and `𝕜 = ℝ`. -/
 protected def restrictScalars (p : Seminorm 𝕜' E) : Seminorm 𝕜 E :=
@@ -1101,16 +1743,34 @@ protected def restrictScalars (p : Seminorm 𝕜' E) : Seminorm 𝕜 E :=
     smul' := fun a x => by rw [← smul_one_smul 𝕜' a x, p.smul', norm_smul, norm_one, mul_one] }
 #align seminorm.restrict_scalars Seminorm.restrictScalars
 
+/- warning: seminorm.coe_restrict_scalars -> Seminorm.coe_restrictScalars is a dubious translation:
+lean 3 declaration is
+  forall (𝕜 : Type.{u1}) {E : Type.{u2}} {𝕜' : Type.{u3}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : SeminormedRing.{u3} 𝕜'] [_inst_3 : NormedAlgebra.{u1, u3} 𝕜 𝕜' _inst_1 _inst_2] [_inst_4 : NormOneClass.{u3} 𝕜' (SeminormedRing.toHasNorm.{u3} 𝕜' _inst_2) (AddMonoidWithOne.toOne.{u3} 𝕜' (AddGroupWithOne.toAddMonoidWithOne.{u3} 𝕜' (AddCommGroupWithOne.toAddGroupWithOne.{u3} 𝕜' (Ring.toAddCommGroupWithOne.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))))] [_inst_5 : AddCommGroup.{u2} E] [_inst_6 : Module.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)] [_inst_7 : SMul.{u1, u2} 𝕜 E] [_inst_8 : IsScalarTower.{u1, u3, u2} 𝕜 𝕜' E (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 𝕜' (AddZeroClass.toHasZero.{u3} 𝕜' (AddMonoid.toAddZeroClass.{u3} 𝕜' (AddCommMonoid.toAddMonoid.{u3} 𝕜' (AddCommGroup.toAddCommMonoid.{u3} 𝕜' (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜' (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜' (SeminormedRing.toNonUnitalSeminormedRing.{u3} 𝕜' _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 𝕜' (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u3} 𝕜' (AddMonoid.toAddZeroClass.{u3} 𝕜' (AddCommMonoid.toAddMonoid.{u3} 𝕜' (AddCommGroup.toAddCommMonoid.{u3} 𝕜' (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜' (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜' (SeminormedRing.toNonUnitalSeminormedRing.{u3} 𝕜' _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 𝕜' (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u3} 𝕜' (AddMonoid.toAddZeroClass.{u3} 𝕜' (AddCommMonoid.toAddMonoid.{u3} 𝕜' (AddCommGroup.toAddCommMonoid.{u3} 𝕜' (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜' (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜' (SeminormedRing.toNonUnitalSeminormedRing.{u3} 𝕜' _inst_2))))))) (Module.toMulActionWithZero.{u1, u3} 𝕜 𝕜' (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u3} 𝕜' (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜' (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜' (SeminormedRing.toNonUnitalSeminormedRing.{u3} 𝕜' _inst_2)))) (NormedSpace.toModule.{u1, u3} 𝕜 𝕜' _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜' (SeminormedRing.toNonUnitalSeminormedRing.{u3} 𝕜' _inst_2)) (NormedAlgebra.toNormedSpace.{u1, u3} 𝕜 𝕜' _inst_1 _inst_2 _inst_3)))))) (SMulZeroClass.toHasSmul.{u3, u2} 𝕜' E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)))) (SMulWithZero.toSmulZeroClass.{u3, u2} 𝕜' E (MulZeroClass.toHasZero.{u3} 𝕜' (MulZeroOneClass.toMulZeroClass.{u3} 𝕜' (MonoidWithZero.toMulZeroOneClass.{u3} 𝕜' (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜' E (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)))) (Module.toMulActionWithZero.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5) _inst_6)))) _inst_7] (p : Seminorm.{u3, u2} 𝕜' E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_5) (SMulZeroClass.toHasSmul.{u3, u2} 𝕜' E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)))) (SMulWithZero.toSmulZeroClass.{u3, u2} 𝕜' E (MulZeroClass.toHasZero.{u3} 𝕜' (MulZeroOneClass.toMulZeroClass.{u3} 𝕜' (MonoidWithZero.toMulZeroOneClass.{u3} 𝕜' (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜' E (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)))) (Module.toMulActionWithZero.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5) _inst_6))))), Eq.{succ u2} ((fun (_x : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_5) _inst_7) => E -> Real) (Seminorm.restrictScalars.{u1, u2, u3} 𝕜 E 𝕜' _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 p)) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_5) _inst_7) (fun (_x : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_5) _inst_7) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_5) _inst_7) (Seminorm.restrictScalars.{u1, u2, u3} 𝕜 E 𝕜' _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 p)) (coeFn.{succ u2, succ u2} (Seminorm.{u3, u2} 𝕜' E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_5) (SMulZeroClass.toHasSmul.{u3, u2} 𝕜' E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)))) (SMulWithZero.toSmulZeroClass.{u3, u2} 𝕜' E (MulZeroClass.toHasZero.{u3} 𝕜' (MulZeroOneClass.toMulZeroClass.{u3} 𝕜' (MonoidWithZero.toMulZeroOneClass.{u3} 𝕜' (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜' E (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)))) (Module.toMulActionWithZero.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5) _inst_6))))) (fun (_x : Seminorm.{u3, u2} 𝕜' E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_5) (SMulZeroClass.toHasSmul.{u3, u2} 𝕜' E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)))) (SMulWithZero.toSmulZeroClass.{u3, u2} 𝕜' E (MulZeroClass.toHasZero.{u3} 𝕜' (MulZeroOneClass.toMulZeroClass.{u3} 𝕜' (MonoidWithZero.toMulZeroOneClass.{u3} 𝕜' (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜' E (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)))) (Module.toMulActionWithZero.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5) _inst_6))))) => E -> Real) (Seminorm.hasCoeToFun.{u3, u2} 𝕜' E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_5) (SMulZeroClass.toHasSmul.{u3, u2} 𝕜' E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)))) (SMulWithZero.toSmulZeroClass.{u3, u2} 𝕜' E (MulZeroClass.toHasZero.{u3} 𝕜' (MulZeroOneClass.toMulZeroClass.{u3} 𝕜' (MonoidWithZero.toMulZeroOneClass.{u3} 𝕜' (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜' E (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)))) (Module.toMulActionWithZero.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5) _inst_6))))) p)
+but is expected to have type
+  forall (𝕜 : Type.{u1}) {E : Type.{u2}} {𝕜' : Type.{u3}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : SeminormedRing.{u3} 𝕜'] [_inst_3 : NormedAlgebra.{u1, u3} 𝕜 𝕜' _inst_1 _inst_2] [_inst_4 : NormOneClass.{u3} 𝕜' (SeminormedRing.toNorm.{u3} 𝕜' _inst_2) (NonAssocRing.toOne.{u3} 𝕜' (Ring.toNonAssocRing.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))] [_inst_5 : AddCommGroup.{u2} E] [_inst_6 : Module.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)] [_inst_7 : SMul.{u1, u2} 𝕜 E] [_inst_8 : IsScalarTower.{u1, u3, u2} 𝕜 𝕜' E (Algebra.toSMul.{u1, u3} 𝕜 𝕜' (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))) (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (NormedAlgebra.toAlgebra.{u1, u3} 𝕜 𝕜' _inst_1 _inst_2 _inst_3)) (SMulZeroClass.toSMul.{u3, u2} 𝕜' E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜' E (MonoidWithZero.toZero.{u3} 𝕜' (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜' E (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (Module.toMulActionWithZero.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5) _inst_6)))) _inst_7] (p : Seminorm.{u3, u2} 𝕜' E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_5) (SMulZeroClass.toSMul.{u3, u2} 𝕜' E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜' E (MonoidWithZero.toZero.{u3} 𝕜' (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜' E (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (Module.toMulActionWithZero.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5) _inst_6))))), Eq.{succ u2} (forall (a : E), (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) a) (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_5) _inst_7) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_5) _inst_7) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_5))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_5) _inst_7) E Real (AddCommGroup.toAddGroup.{u2} E _inst_5) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_5) _inst_7) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_5) _inst_7 (Seminorm.seminormClass.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (AddCommGroup.toAddGroup.{u2} E _inst_5) _inst_7)))) (Seminorm.restrictScalars.{u1, u2, u3} 𝕜 E 𝕜' _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 p)) (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u3, u2} 𝕜' E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_5) (SMulZeroClass.toSMul.{u3, u2} 𝕜' E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜' E (MonoidWithZero.toZero.{u3} 𝕜' (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜' E (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (Module.toMulActionWithZero.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5) _inst_6))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u3, u2} 𝕜' E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_5) (SMulZeroClass.toSMul.{u3, u2} 𝕜' E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜' E (MonoidWithZero.toZero.{u3} 𝕜' (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜' E (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (Module.toMulActionWithZero.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5) _inst_6))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_5))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u3, u2} 𝕜' E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_5) (SMulZeroClass.toSMul.{u3, u2} 𝕜' E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜' E (MonoidWithZero.toZero.{u3} 𝕜' (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜' E (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (Module.toMulActionWithZero.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5) _inst_6))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_5) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u3, u2} (Seminorm.{u3, u2} 𝕜' E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_5) (SMulZeroClass.toSMul.{u3, u2} 𝕜' E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜' E (MonoidWithZero.toZero.{u3} 𝕜' (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜' E (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (Module.toMulActionWithZero.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5) _inst_6))))) 𝕜' E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_5) (SMulZeroClass.toSMul.{u3, u2} 𝕜' E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜' E (MonoidWithZero.toZero.{u3} 𝕜' (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜' E (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (Module.toMulActionWithZero.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5) _inst_6)))) (Seminorm.seminormClass.{u3, u2} 𝕜' E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_5) (SMulZeroClass.toSMul.{u3, u2} 𝕜' E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜' E (MonoidWithZero.toZero.{u3} 𝕜' (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜' E (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (Module.toMulActionWithZero.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5) _inst_6)))))))) p)
+Case conversion may be inaccurate. Consider using '#align seminorm.coe_restrict_scalars Seminorm.coe_restrictScalarsₓ'. -/
 @[simp]
 theorem coe_restrictScalars (p : Seminorm 𝕜' E) : (p.restrictScalars 𝕜 : E → ℝ) = p :=
   rfl
 #align seminorm.coe_restrict_scalars Seminorm.coe_restrictScalars
 
+/- warning: seminorm.restrict_scalars_ball -> Seminorm.restrictScalars_ball is a dubious translation:
+lean 3 declaration is
+  forall (𝕜 : Type.{u1}) {E : Type.{u2}} {𝕜' : Type.{u3}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : SeminormedRing.{u3} 𝕜'] [_inst_3 : NormedAlgebra.{u1, u3} 𝕜 𝕜' _inst_1 _inst_2] [_inst_4 : NormOneClass.{u3} 𝕜' (SeminormedRing.toHasNorm.{u3} 𝕜' _inst_2) (AddMonoidWithOne.toOne.{u3} 𝕜' (AddGroupWithOne.toAddMonoidWithOne.{u3} 𝕜' (AddCommGroupWithOne.toAddGroupWithOne.{u3} 𝕜' (Ring.toAddCommGroupWithOne.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))))] [_inst_5 : AddCommGroup.{u2} E] [_inst_6 : Module.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)] [_inst_7 : SMul.{u1, u2} 𝕜 E] [_inst_8 : IsScalarTower.{u1, u3, u2} 𝕜 𝕜' E (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 𝕜' (AddZeroClass.toHasZero.{u3} 𝕜' (AddMonoid.toAddZeroClass.{u3} 𝕜' (AddCommMonoid.toAddMonoid.{u3} 𝕜' (AddCommGroup.toAddCommMonoid.{u3} 𝕜' (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜' (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜' (SeminormedRing.toNonUnitalSeminormedRing.{u3} 𝕜' _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 𝕜' (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u3} 𝕜' (AddMonoid.toAddZeroClass.{u3} 𝕜' (AddCommMonoid.toAddMonoid.{u3} 𝕜' (AddCommGroup.toAddCommMonoid.{u3} 𝕜' (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜' (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜' (SeminormedRing.toNonUnitalSeminormedRing.{u3} 𝕜' _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 𝕜' (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u3} 𝕜' (AddMonoid.toAddZeroClass.{u3} 𝕜' (AddCommMonoid.toAddMonoid.{u3} 𝕜' (AddCommGroup.toAddCommMonoid.{u3} 𝕜' (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜' (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜' (SeminormedRing.toNonUnitalSeminormedRing.{u3} 𝕜' _inst_2))))))) (Module.toMulActionWithZero.{u1, u3} 𝕜 𝕜' (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u3} 𝕜' (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜' (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜' (SeminormedRing.toNonUnitalSeminormedRing.{u3} 𝕜' _inst_2)))) (NormedSpace.toModule.{u1, u3} 𝕜 𝕜' _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜' (SeminormedRing.toNonUnitalSeminormedRing.{u3} 𝕜' _inst_2)) (NormedAlgebra.toNormedSpace.{u1, u3} 𝕜 𝕜' _inst_1 _inst_2 _inst_3)))))) (SMulZeroClass.toHasSmul.{u3, u2} 𝕜' E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)))) (SMulWithZero.toSmulZeroClass.{u3, u2} 𝕜' E (MulZeroClass.toHasZero.{u3} 𝕜' (MulZeroOneClass.toMulZeroClass.{u3} 𝕜' (MonoidWithZero.toMulZeroOneClass.{u3} 𝕜' (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜' E (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)))) (Module.toMulActionWithZero.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5) _inst_6)))) _inst_7] (p : Seminorm.{u3, u2} 𝕜' E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_5) (SMulZeroClass.toHasSmul.{u3, u2} 𝕜' E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)))) (SMulWithZero.toSmulZeroClass.{u3, u2} 𝕜' E (MulZeroClass.toHasZero.{u3} 𝕜' (MulZeroOneClass.toMulZeroClass.{u3} 𝕜' (MonoidWithZero.toMulZeroOneClass.{u3} 𝕜' (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜' E (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)))) (Module.toMulActionWithZero.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5) _inst_6))))), Eq.{succ u2} (E -> Real -> (Set.{u2} E)) (Seminorm.ball.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) _inst_5 _inst_7 (Seminorm.restrictScalars.{u1, u2, u3} 𝕜 E 𝕜' _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 p)) (Seminorm.ball.{u3, u2} 𝕜' E _inst_2 _inst_5 (SMulZeroClass.toHasSmul.{u3, u2} 𝕜' E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)))) (SMulWithZero.toSmulZeroClass.{u3, u2} 𝕜' E (MulZeroClass.toHasZero.{u3} 𝕜' (MulZeroOneClass.toMulZeroClass.{u3} 𝕜' (MonoidWithZero.toMulZeroOneClass.{u3} 𝕜' (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜' E (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)))) (Module.toMulActionWithZero.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5) _inst_6)))) p)
+but is expected to have type
+  forall (𝕜 : Type.{u1}) {E : Type.{u2}} {𝕜' : Type.{u3}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : SeminormedRing.{u3} 𝕜'] [_inst_3 : NormedAlgebra.{u1, u3} 𝕜 𝕜' _inst_1 _inst_2] [_inst_4 : NormOneClass.{u3} 𝕜' (SeminormedRing.toNorm.{u3} 𝕜' _inst_2) (NonAssocRing.toOne.{u3} 𝕜' (Ring.toNonAssocRing.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))] [_inst_5 : AddCommGroup.{u2} E] [_inst_6 : Module.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)] [_inst_7 : SMul.{u1, u2} 𝕜 E] [_inst_8 : IsScalarTower.{u1, u3, u2} 𝕜 𝕜' E (Algebra.toSMul.{u1, u3} 𝕜 𝕜' (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))) (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (NormedAlgebra.toAlgebra.{u1, u3} 𝕜 𝕜' _inst_1 _inst_2 _inst_3)) (SMulZeroClass.toSMul.{u3, u2} 𝕜' E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜' E (MonoidWithZero.toZero.{u3} 𝕜' (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜' E (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (Module.toMulActionWithZero.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5) _inst_6)))) _inst_7] (p : Seminorm.{u3, u2} 𝕜' E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_5) (SMulZeroClass.toSMul.{u3, u2} 𝕜' E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜' E (MonoidWithZero.toZero.{u3} 𝕜' (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜' E (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (Module.toMulActionWithZero.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5) _inst_6))))), Eq.{succ u2} (E -> Real -> (Set.{u2} E)) (Seminorm.ball.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) _inst_5 _inst_7 (Seminorm.restrictScalars.{u1, u2, u3} 𝕜 E 𝕜' _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 p)) (Seminorm.ball.{u3, u2} 𝕜' E _inst_2 _inst_5 (SMulZeroClass.toSMul.{u3, u2} 𝕜' E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜' E (MonoidWithZero.toZero.{u3} 𝕜' (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜' E (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (Module.toMulActionWithZero.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5) _inst_6)))) p)
+Case conversion may be inaccurate. Consider using '#align seminorm.restrict_scalars_ball Seminorm.restrictScalars_ballₓ'. -/
 @[simp]
 theorem restrictScalars_ball (p : Seminorm 𝕜' E) : (p.restrictScalars 𝕜).ball = p.ball :=
   rfl
 #align seminorm.restrict_scalars_ball Seminorm.restrictScalars_ball
 
+/- warning: seminorm.restrict_scalars_closed_ball -> Seminorm.restrictScalars_closedBall is a dubious translation:
+lean 3 declaration is
+  forall (𝕜 : Type.{u1}) {E : Type.{u2}} {𝕜' : Type.{u3}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : SeminormedRing.{u3} 𝕜'] [_inst_3 : NormedAlgebra.{u1, u3} 𝕜 𝕜' _inst_1 _inst_2] [_inst_4 : NormOneClass.{u3} 𝕜' (SeminormedRing.toHasNorm.{u3} 𝕜' _inst_2) (AddMonoidWithOne.toOne.{u3} 𝕜' (AddGroupWithOne.toAddMonoidWithOne.{u3} 𝕜' (AddCommGroupWithOne.toAddGroupWithOne.{u3} 𝕜' (Ring.toAddCommGroupWithOne.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))))] [_inst_5 : AddCommGroup.{u2} E] [_inst_6 : Module.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)] [_inst_7 : SMul.{u1, u2} 𝕜 E] [_inst_8 : IsScalarTower.{u1, u3, u2} 𝕜 𝕜' E (SMulZeroClass.toHasSmul.{u1, u3} 𝕜 𝕜' (AddZeroClass.toHasZero.{u3} 𝕜' (AddMonoid.toAddZeroClass.{u3} 𝕜' (AddCommMonoid.toAddMonoid.{u3} 𝕜' (AddCommGroup.toAddCommMonoid.{u3} 𝕜' (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜' (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜' (SeminormedRing.toNonUnitalSeminormedRing.{u3} 𝕜' _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜 𝕜' (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u3} 𝕜' (AddMonoid.toAddZeroClass.{u3} 𝕜' (AddCommMonoid.toAddMonoid.{u3} 𝕜' (AddCommGroup.toAddCommMonoid.{u3} 𝕜' (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜' (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜' (SeminormedRing.toNonUnitalSeminormedRing.{u3} 𝕜' _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜 𝕜' (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u3} 𝕜' (AddMonoid.toAddZeroClass.{u3} 𝕜' (AddCommMonoid.toAddMonoid.{u3} 𝕜' (AddCommGroup.toAddCommMonoid.{u3} 𝕜' (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜' (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜' (SeminormedRing.toNonUnitalSeminormedRing.{u3} 𝕜' _inst_2))))))) (Module.toMulActionWithZero.{u1, u3} 𝕜 𝕜' (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u3} 𝕜' (SeminormedAddCommGroup.toAddCommGroup.{u3} 𝕜' (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜' (SeminormedRing.toNonUnitalSeminormedRing.{u3} 𝕜' _inst_2)))) (NormedSpace.toModule.{u1, u3} 𝕜 𝕜' _inst_1 (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u3} 𝕜' (SeminormedRing.toNonUnitalSeminormedRing.{u3} 𝕜' _inst_2)) (NormedAlgebra.toNormedSpace.{u1, u3} 𝕜 𝕜' _inst_1 _inst_2 _inst_3)))))) (SMulZeroClass.toHasSmul.{u3, u2} 𝕜' E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)))) (SMulWithZero.toSmulZeroClass.{u3, u2} 𝕜' E (MulZeroClass.toHasZero.{u3} 𝕜' (MulZeroOneClass.toMulZeroClass.{u3} 𝕜' (MonoidWithZero.toMulZeroOneClass.{u3} 𝕜' (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜' E (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)))) (Module.toMulActionWithZero.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5) _inst_6)))) _inst_7] (p : Seminorm.{u3, u2} 𝕜' E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_5) (SMulZeroClass.toHasSmul.{u3, u2} 𝕜' E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)))) (SMulWithZero.toSmulZeroClass.{u3, u2} 𝕜' E (MulZeroClass.toHasZero.{u3} 𝕜' (MulZeroOneClass.toMulZeroClass.{u3} 𝕜' (MonoidWithZero.toMulZeroOneClass.{u3} 𝕜' (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜' E (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)))) (Module.toMulActionWithZero.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5) _inst_6))))), Eq.{succ u2} (E -> Real -> (Set.{u2} E)) (Seminorm.closedBall.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) _inst_5 _inst_7 (Seminorm.restrictScalars.{u1, u2, u3} 𝕜 E 𝕜' _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 p)) (Seminorm.closedBall.{u3, u2} 𝕜' E _inst_2 _inst_5 (SMulZeroClass.toHasSmul.{u3, u2} 𝕜' E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)))) (SMulWithZero.toSmulZeroClass.{u3, u2} 𝕜' E (MulZeroClass.toHasZero.{u3} 𝕜' (MulZeroOneClass.toMulZeroClass.{u3} 𝕜' (MonoidWithZero.toMulZeroOneClass.{u3} 𝕜' (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜' E (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)))) (Module.toMulActionWithZero.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5) _inst_6)))) p)
+but is expected to have type
+  forall (𝕜 : Type.{u1}) {E : Type.{u2}} {𝕜' : Type.{u3}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : SeminormedRing.{u3} 𝕜'] [_inst_3 : NormedAlgebra.{u1, u3} 𝕜 𝕜' _inst_1 _inst_2] [_inst_4 : NormOneClass.{u3} 𝕜' (SeminormedRing.toNorm.{u3} 𝕜' _inst_2) (NonAssocRing.toOne.{u3} 𝕜' (Ring.toNonAssocRing.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))] [_inst_5 : AddCommGroup.{u2} E] [_inst_6 : Module.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5)] [_inst_7 : SMul.{u1, u2} 𝕜 E] [_inst_8 : IsScalarTower.{u1, u3, u2} 𝕜 𝕜' E (Algebra.toSMul.{u1, u3} 𝕜 𝕜' (Semifield.toCommSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))) (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (NormedAlgebra.toAlgebra.{u1, u3} 𝕜 𝕜' _inst_1 _inst_2 _inst_3)) (SMulZeroClass.toSMul.{u3, u2} 𝕜' E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜' E (MonoidWithZero.toZero.{u3} 𝕜' (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜' E (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (Module.toMulActionWithZero.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5) _inst_6)))) _inst_7] (p : Seminorm.{u3, u2} 𝕜' E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_5) (SMulZeroClass.toSMul.{u3, u2} 𝕜' E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜' E (MonoidWithZero.toZero.{u3} 𝕜' (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜' E (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (Module.toMulActionWithZero.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5) _inst_6))))), Eq.{succ u2} (E -> Real -> (Set.{u2} E)) (Seminorm.closedBall.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) _inst_5 _inst_7 (Seminorm.restrictScalars.{u1, u2, u3} 𝕜 E 𝕜' _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 p)) (Seminorm.closedBall.{u3, u2} 𝕜' E _inst_2 _inst_5 (SMulZeroClass.toSMul.{u3, u2} 𝕜' E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜' E (MonoidWithZero.toZero.{u3} 𝕜' (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜' E (Semiring.toMonoidWithZero.{u3} 𝕜' (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_5))))) (Module.toMulActionWithZero.{u3, u2} 𝕜' E (Ring.toSemiring.{u3} 𝕜' (SeminormedRing.toRing.{u3} 𝕜' _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_5) _inst_6)))) p)
+Case conversion may be inaccurate. Consider using '#align seminorm.restrict_scalars_closed_ball Seminorm.restrictScalars_closedBallₓ'. -/
 @[simp]
 theorem restrictScalars_closedBall (p : Seminorm 𝕜' E) :
     (p.restrictScalars 𝕜).closedBall = p.closedBall :=
@@ -1128,6 +1788,12 @@ variable [NontriviallyNormedField 𝕜] [SeminormedRing 𝕝] [AddCommGroup E] [
 
 variable [Module 𝕝 E]
 
+/- warning: seminorm.continuous_at_zero' -> Seminorm.continuousAt_zero' is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_3 : AddCommGroup.{u2} E] [_inst_4 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)] [_inst_6 : TopologicalSpace.{u2} E] [_inst_7 : ContinuousConstSMul.{u1, u2} 𝕜 E _inst_6 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))] {p : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))} {r : Real}, (LT.lt.{0} Real Real.hasLt (OfNat.ofNat.{0} Real 0 (OfNat.mk.{0} Real 0 (Zero.zero.{0} Real Real.hasZero))) r) -> (Membership.Mem.{u2, u2} (Set.{u2} E) (Filter.{u2} E) (Filter.hasMem.{u2} E) (Seminorm.closedBall.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) _inst_3 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4)))) p (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_3)))))))) r) (nhds.{u2} E _inst_6 (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_3)))))))))) -> (ContinuousAt.{u2, 0} E Real _inst_6 (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) (fun (_x : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) p) (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_3)))))))))
+but is expected to have type
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_3 : AddCommGroup.{u2} E] [_inst_4 : Module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)] [_inst_6 : TopologicalSpace.{u2} E] [_inst_7 : ContinuousConstSMul.{u1, u2} 𝕜 E _inst_6 (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))] {p : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))} {r : Real}, (LT.lt.{0} Real Real.instLTReal (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) r) -> (Membership.mem.{u2, u2} (Set.{u2} E) (Filter.{u2} E) (instMembershipSetFilter.{u2} E) (Seminorm.closedBall.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) _inst_3 (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4)))) p (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))))) r) (nhds.{u2} E _inst_6 (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))))))) -> (ContinuousAt.{u2, 0} E Real _inst_6 (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_3))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_3) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4)))) (Seminorm.seminormClass.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4)))))))) p) (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))))))
+Case conversion may be inaccurate. Consider using '#align seminorm.continuous_at_zero' Seminorm.continuousAt_zero'ₓ'. -/
 theorem continuousAt_zero' [TopologicalSpace E] [ContinuousConstSMul 𝕜 E] {p : Seminorm 𝕜 E} {r : ℝ}
     (hr : 0 < r) (hp : p.closedBall 0 r ∈ (𝓝 0 : Filter E)) : ContinuousAt p 0 :=
   by
@@ -1144,11 +1810,23 @@ theorem continuousAt_zero' [TopologicalSpace E] [ContinuousConstSMul 𝕜 E] {p
   exact mul_le_mul hkε.le (p.mem_closed_ball_zero.mp hx) (map_nonneg _ _) (div_nonneg hε.le hr.le)
 #align seminorm.continuous_at_zero' Seminorm.continuousAt_zero'
 
+/- warning: seminorm.continuous_at_zero -> Seminorm.continuousAt_zero is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_3 : AddCommGroup.{u2} E] [_inst_4 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)] [_inst_6 : TopologicalSpace.{u2} E] [_inst_7 : ContinuousConstSMul.{u1, u2} 𝕜 E _inst_6 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))] {p : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))} {r : Real}, (LT.lt.{0} Real Real.hasLt (OfNat.ofNat.{0} Real 0 (OfNat.mk.{0} Real 0 (Zero.zero.{0} Real Real.hasZero))) r) -> (Membership.Mem.{u2, u2} (Set.{u2} E) (Filter.{u2} E) (Filter.hasMem.{u2} E) (Seminorm.ball.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) _inst_3 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4)))) p (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_3)))))))) r) (nhds.{u2} E _inst_6 (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_3)))))))))) -> (ContinuousAt.{u2, 0} E Real _inst_6 (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) (fun (_x : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) p) (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_3)))))))))
+but is expected to have type
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_3 : AddCommGroup.{u2} E] [_inst_4 : Module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)] [_inst_6 : TopologicalSpace.{u2} E] [_inst_7 : ContinuousConstSMul.{u1, u2} 𝕜 E _inst_6 (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))] {p : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))} {r : Real}, (LT.lt.{0} Real Real.instLTReal (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) r) -> (Membership.mem.{u2, u2} (Set.{u2} E) (Filter.{u2} E) (instMembershipSetFilter.{u2} E) (Seminorm.ball.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) _inst_3 (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4)))) p (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))))) r) (nhds.{u2} E _inst_6 (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))))))) -> (ContinuousAt.{u2, 0} E Real _inst_6 (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_3))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_3) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4)))) (Seminorm.seminormClass.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4)))))))) p) (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))))))
+Case conversion may be inaccurate. Consider using '#align seminorm.continuous_at_zero Seminorm.continuousAt_zeroₓ'. -/
 theorem continuousAt_zero [TopologicalSpace E] [ContinuousConstSMul 𝕜 E] {p : Seminorm 𝕜 E} {r : ℝ}
     (hr : 0 < r) (hp : p.ball 0 r ∈ (𝓝 0 : Filter E)) : ContinuousAt p 0 :=
   continuousAt_zero' hr (Filter.mem_of_superset hp <| p.ball_subset_closedBall _ _)
 #align seminorm.continuous_at_zero Seminorm.continuousAt_zero
 
+/- warning: seminorm.uniform_continuous_of_continuous_at_zero -> Seminorm.uniformContinuous_of_continuousAt_zero is a dubious translation:
+lean 3 declaration is
+  forall {𝕝 : Type.{u1}} {E : Type.{u2}} [_inst_2 : SeminormedRing.{u1} 𝕝] [_inst_3 : AddCommGroup.{u2} E] [_inst_5 : Module.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)] [_inst_6 : UniformSpace.{u2} E] [_inst_7 : UniformAddGroup.{u2} E _inst_6 (AddCommGroup.toAddGroup.{u2} E _inst_3)] {p : Seminorm.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕝 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕝 E (MulZeroClass.toHasZero.{u1} 𝕝 (MulZeroOneClass.toMulZeroClass.{u1} 𝕝 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))}, (ContinuousAt.{u2, 0} E Real (UniformSpace.toTopologicalSpace.{u2} E _inst_6) (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕝 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕝 E (MulZeroClass.toHasZero.{u1} 𝕝 (MulZeroOneClass.toMulZeroClass.{u1} 𝕝 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))) (fun (_x : Seminorm.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕝 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕝 E (MulZeroClass.toHasZero.{u1} 𝕝 (MulZeroOneClass.toMulZeroClass.{u1} 𝕝 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕝 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕝 E (MulZeroClass.toHasZero.{u1} 𝕝 (MulZeroOneClass.toMulZeroClass.{u1} 𝕝 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))) p) (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_3))))))))) -> (UniformContinuous.{u2, 0} E Real _inst_6 (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕝 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕝 E (MulZeroClass.toHasZero.{u1} 𝕝 (MulZeroOneClass.toMulZeroClass.{u1} 𝕝 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))) (fun (_x : Seminorm.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕝 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕝 E (MulZeroClass.toHasZero.{u1} 𝕝 (MulZeroOneClass.toMulZeroClass.{u1} 𝕝 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕝 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕝 E (MulZeroClass.toHasZero.{u1} 𝕝 (MulZeroOneClass.toMulZeroClass.{u1} 𝕝 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))) p))
+but is expected to have type
+  forall {𝕝 : Type.{u1}} {E : Type.{u2}} [_inst_2 : SeminormedRing.{u1} 𝕝] [_inst_3 : AddCommGroup.{u2} E] [_inst_5 : Module.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)] [_inst_6 : UniformSpace.{u2} E] [_inst_7 : UniformAddGroup.{u2} E _inst_6 (AddCommGroup.toAddGroup.{u2} E _inst_3)] {p : Seminorm.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕝 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕝 E (MonoidWithZero.toZero.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))}, (ContinuousAt.{u2, 0} E Real (UniformSpace.toTopologicalSpace.{u2} E _inst_6) (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕝 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕝 E (MonoidWithZero.toZero.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕝 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕝 E (MonoidWithZero.toZero.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_3))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕝 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕝 E (MonoidWithZero.toZero.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_3) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕝 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕝 E (MonoidWithZero.toZero.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))) 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕝 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕝 E (MonoidWithZero.toZero.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5)))) (Seminorm.seminormClass.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕝 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕝 E (MonoidWithZero.toZero.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5)))))))) p) (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3)))))))) -> (UniformContinuous.{u2, 0} E Real _inst_6 (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace) (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕝 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕝 E (MonoidWithZero.toZero.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕝 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕝 E (MonoidWithZero.toZero.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_3))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕝 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕝 E (MonoidWithZero.toZero.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_3) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕝 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕝 E (MonoidWithZero.toZero.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))) 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕝 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕝 E (MonoidWithZero.toZero.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5)))) (Seminorm.seminormClass.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕝 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕝 E (MonoidWithZero.toZero.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5)))))))) p))
+Case conversion may be inaccurate. Consider using '#align seminorm.uniform_continuous_of_continuous_at_zero Seminorm.uniformContinuous_of_continuousAt_zeroₓ'. -/
 protected theorem uniformContinuous_of_continuousAt_zero [UniformSpace E] [UniformAddGroup E]
     {p : Seminorm 𝕝 E} (hp : ContinuousAt p 0) : UniformContinuous p :=
   by
@@ -1160,6 +1838,12 @@ protected theorem uniformContinuous_of_continuousAt_zero [UniformSpace E] [Unifo
       (fun xy => dist_nonneg) fun xy => p.norm_sub_map_le_sub _ _
 #align seminorm.uniform_continuous_of_continuous_at_zero Seminorm.uniformContinuous_of_continuousAt_zero
 
+/- warning: seminorm.continuous_of_continuous_at_zero -> Seminorm.continuous_of_continuousAt_zero is a dubious translation:
+lean 3 declaration is
+  forall {𝕝 : Type.{u1}} {E : Type.{u2}} [_inst_2 : SeminormedRing.{u1} 𝕝] [_inst_3 : AddCommGroup.{u2} E] [_inst_5 : Module.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)] [_inst_6 : TopologicalSpace.{u2} E] [_inst_7 : TopologicalAddGroup.{u2} E _inst_6 (AddCommGroup.toAddGroup.{u2} E _inst_3)] {p : Seminorm.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕝 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕝 E (MulZeroClass.toHasZero.{u1} 𝕝 (MulZeroOneClass.toMulZeroClass.{u1} 𝕝 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))}, (ContinuousAt.{u2, 0} E Real _inst_6 (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕝 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕝 E (MulZeroClass.toHasZero.{u1} 𝕝 (MulZeroOneClass.toMulZeroClass.{u1} 𝕝 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))) (fun (_x : Seminorm.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕝 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕝 E (MulZeroClass.toHasZero.{u1} 𝕝 (MulZeroOneClass.toMulZeroClass.{u1} 𝕝 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕝 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕝 E (MulZeroClass.toHasZero.{u1} 𝕝 (MulZeroOneClass.toMulZeroClass.{u1} 𝕝 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))) p) (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_3))))))))) -> (Continuous.{u2, 0} E Real _inst_6 (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕝 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕝 E (MulZeroClass.toHasZero.{u1} 𝕝 (MulZeroOneClass.toMulZeroClass.{u1} 𝕝 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))) (fun (_x : Seminorm.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕝 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕝 E (MulZeroClass.toHasZero.{u1} 𝕝 (MulZeroOneClass.toMulZeroClass.{u1} 𝕝 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕝 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕝 E (MulZeroClass.toHasZero.{u1} 𝕝 (MulZeroOneClass.toMulZeroClass.{u1} 𝕝 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))) p))
+but is expected to have type
+  forall {𝕝 : Type.{u1}} {E : Type.{u2}} [_inst_2 : SeminormedRing.{u1} 𝕝] [_inst_3 : AddCommGroup.{u2} E] [_inst_5 : Module.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)] [_inst_6 : TopologicalSpace.{u2} E] [_inst_7 : TopologicalAddGroup.{u2} E _inst_6 (AddCommGroup.toAddGroup.{u2} E _inst_3)] {p : Seminorm.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕝 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕝 E (MonoidWithZero.toZero.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))}, (ContinuousAt.{u2, 0} E Real _inst_6 (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕝 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕝 E (MonoidWithZero.toZero.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕝 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕝 E (MonoidWithZero.toZero.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_3))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕝 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕝 E (MonoidWithZero.toZero.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_3) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕝 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕝 E (MonoidWithZero.toZero.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))) 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕝 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕝 E (MonoidWithZero.toZero.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5)))) (Seminorm.seminormClass.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕝 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕝 E (MonoidWithZero.toZero.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5)))))))) p) (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3)))))))) -> (Continuous.{u2, 0} E Real _inst_6 (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕝 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕝 E (MonoidWithZero.toZero.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕝 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕝 E (MonoidWithZero.toZero.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_3))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕝 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕝 E (MonoidWithZero.toZero.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_3) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕝 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕝 E (MonoidWithZero.toZero.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5))))) 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕝 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕝 E (MonoidWithZero.toZero.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5)))) (Seminorm.seminormClass.{u1, u2} 𝕝 E _inst_2 (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕝 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕝 E (MonoidWithZero.toZero.{u1} 𝕝 (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕝 E (Semiring.toMonoidWithZero.{u1} 𝕝 (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕝 E (Ring.toSemiring.{u1} 𝕝 (SeminormedRing.toRing.{u1} 𝕝 _inst_2)) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_5)))))))) p))
+Case conversion may be inaccurate. Consider using '#align seminorm.continuous_of_continuous_at_zero Seminorm.continuous_of_continuousAt_zeroₓ'. -/
 protected theorem continuous_of_continuousAt_zero [TopologicalSpace E] [TopologicalAddGroup E]
     {p : Seminorm 𝕝 E} (hp : ContinuousAt p 0) : Continuous p :=
   by
@@ -1168,29 +1852,59 @@ protected theorem continuous_of_continuousAt_zero [TopologicalSpace E] [Topologi
   exact (Seminorm.uniformContinuous_of_continuousAt_zero hp).Continuous
 #align seminorm.continuous_of_continuous_at_zero Seminorm.continuous_of_continuousAt_zero
 
+/- warning: seminorm.uniform_continuous -> Seminorm.uniformContinuous is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_3 : AddCommGroup.{u2} E] [_inst_4 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)] [_inst_6 : UniformSpace.{u2} E] [_inst_7 : UniformAddGroup.{u2} E _inst_6 (AddCommGroup.toAddGroup.{u2} E _inst_3)] [_inst_8 : ContinuousConstSMul.{u1, u2} 𝕜 E (UniformSpace.toTopologicalSpace.{u2} E _inst_6) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))] {p : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))} {r : Real}, (LT.lt.{0} Real Real.hasLt (OfNat.ofNat.{0} Real 0 (OfNat.mk.{0} Real 0 (Zero.zero.{0} Real Real.hasZero))) r) -> (Membership.Mem.{u2, u2} (Set.{u2} E) (Filter.{u2} E) (Filter.hasMem.{u2} E) (Seminorm.ball.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) _inst_3 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4)))) p (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_3)))))))) r) (nhds.{u2} E (UniformSpace.toTopologicalSpace.{u2} E _inst_6) (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_3)))))))))) -> (UniformContinuous.{u2, 0} E Real _inst_6 (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) (fun (_x : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) p))
+but is expected to have type
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_3 : AddCommGroup.{u2} E] [_inst_4 : Module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)] [_inst_6 : UniformSpace.{u2} E] [_inst_7 : UniformAddGroup.{u2} E _inst_6 (AddCommGroup.toAddGroup.{u2} E _inst_3)] [_inst_8 : ContinuousConstSMul.{u1, u2} 𝕜 E (UniformSpace.toTopologicalSpace.{u2} E _inst_6) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))] {p : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))} {r : Real}, (LT.lt.{0} Real Real.instLTReal (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) r) -> (Membership.mem.{u2, u2} (Set.{u2} E) (Filter.{u2} E) (instMembershipSetFilter.{u2} E) (Seminorm.ball.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) _inst_3 (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4)))) p (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))))) r) (nhds.{u2} E (UniformSpace.toTopologicalSpace.{u2} E _inst_6) (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))))))) -> (UniformContinuous.{u2, 0} E Real _inst_6 (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace) (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_3))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_3) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4)))) (Seminorm.seminormClass.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4)))))))) p))
+Case conversion may be inaccurate. Consider using '#align seminorm.uniform_continuous Seminorm.uniformContinuousₓ'. -/
 protected theorem uniformContinuous [UniformSpace E] [UniformAddGroup E] [ContinuousConstSMul 𝕜 E]
     {p : Seminorm 𝕜 E} {r : ℝ} (hr : 0 < r) (hp : p.ball 0 r ∈ (𝓝 0 : Filter E)) :
     UniformContinuous p :=
   Seminorm.uniformContinuous_of_continuousAt_zero (continuousAt_zero hr hp)
 #align seminorm.uniform_continuous Seminorm.uniformContinuous
 
+/- warning: seminorm.uniform_continuous' -> Seminorm.uniform_continuous' is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_3 : AddCommGroup.{u2} E] [_inst_4 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)] [_inst_6 : UniformSpace.{u2} E] [_inst_7 : UniformAddGroup.{u2} E _inst_6 (AddCommGroup.toAddGroup.{u2} E _inst_3)] [_inst_8 : ContinuousConstSMul.{u1, u2} 𝕜 E (UniformSpace.toTopologicalSpace.{u2} E _inst_6) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))] {p : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))} {r : Real}, (LT.lt.{0} Real Real.hasLt (OfNat.ofNat.{0} Real 0 (OfNat.mk.{0} Real 0 (Zero.zero.{0} Real Real.hasZero))) r) -> (Membership.Mem.{u2, u2} (Set.{u2} E) (Filter.{u2} E) (Filter.hasMem.{u2} E) (Seminorm.closedBall.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) _inst_3 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4)))) p (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_3)))))))) r) (nhds.{u2} E (UniformSpace.toTopologicalSpace.{u2} E _inst_6) (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_3)))))))))) -> (UniformContinuous.{u2, 0} E Real _inst_6 (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) (fun (_x : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) p))
+but is expected to have type
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_3 : AddCommGroup.{u2} E] [_inst_4 : Module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)] [_inst_6 : UniformSpace.{u2} E] [_inst_7 : UniformAddGroup.{u2} E _inst_6 (AddCommGroup.toAddGroup.{u2} E _inst_3)] [_inst_8 : ContinuousConstSMul.{u1, u2} 𝕜 E (UniformSpace.toTopologicalSpace.{u2} E _inst_6) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))] {p : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))} {r : Real}, (LT.lt.{0} Real Real.instLTReal (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) r) -> (Membership.mem.{u2, u2} (Set.{u2} E) (Filter.{u2} E) (instMembershipSetFilter.{u2} E) (Seminorm.closedBall.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) _inst_3 (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4)))) p (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))))) r) (nhds.{u2} E (UniformSpace.toTopologicalSpace.{u2} E _inst_6) (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))))))) -> (UniformContinuous.{u2, 0} E Real _inst_6 (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace) (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_3))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_3) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4)))) (Seminorm.seminormClass.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4)))))))) p))
+Case conversion may be inaccurate. Consider using '#align seminorm.uniform_continuous' Seminorm.uniform_continuous'ₓ'. -/
 protected theorem uniform_continuous' [UniformSpace E] [UniformAddGroup E] [ContinuousConstSMul 𝕜 E]
     {p : Seminorm 𝕜 E} {r : ℝ} (hr : 0 < r) (hp : p.closedBall 0 r ∈ (𝓝 0 : Filter E)) :
     UniformContinuous p :=
   Seminorm.uniformContinuous_of_continuousAt_zero (continuousAt_zero' hr hp)
 #align seminorm.uniform_continuous' Seminorm.uniform_continuous'
 
+/- warning: seminorm.continuous -> Seminorm.continuous is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_3 : AddCommGroup.{u2} E] [_inst_4 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)] [_inst_6 : TopologicalSpace.{u2} E] [_inst_7 : TopologicalAddGroup.{u2} E _inst_6 (AddCommGroup.toAddGroup.{u2} E _inst_3)] [_inst_8 : ContinuousConstSMul.{u1, u2} 𝕜 E _inst_6 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))] {p : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))} {r : Real}, (LT.lt.{0} Real Real.hasLt (OfNat.ofNat.{0} Real 0 (OfNat.mk.{0} Real 0 (Zero.zero.{0} Real Real.hasZero))) r) -> (Membership.Mem.{u2, u2} (Set.{u2} E) (Filter.{u2} E) (Filter.hasMem.{u2} E) (Seminorm.ball.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) _inst_3 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4)))) p (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_3)))))))) r) (nhds.{u2} E _inst_6 (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_3)))))))))) -> (Continuous.{u2, 0} E Real _inst_6 (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) (fun (_x : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) p))
+but is expected to have type
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_3 : AddCommGroup.{u2} E] [_inst_4 : Module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)] [_inst_6 : TopologicalSpace.{u2} E] [_inst_7 : TopologicalAddGroup.{u2} E _inst_6 (AddCommGroup.toAddGroup.{u2} E _inst_3)] [_inst_8 : ContinuousConstSMul.{u1, u2} 𝕜 E _inst_6 (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))] {p : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))} {r : Real}, (LT.lt.{0} Real Real.instLTReal (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) r) -> (Membership.mem.{u2, u2} (Set.{u2} E) (Filter.{u2} E) (instMembershipSetFilter.{u2} E) (Seminorm.ball.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) _inst_3 (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4)))) p (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))))) r) (nhds.{u2} E _inst_6 (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))))))) -> (Continuous.{u2, 0} E Real _inst_6 (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_3))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_3) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4)))) (Seminorm.seminormClass.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4)))))))) p))
+Case conversion may be inaccurate. Consider using '#align seminorm.continuous Seminorm.continuousₓ'. -/
 protected theorem continuous [TopologicalSpace E] [TopologicalAddGroup E] [ContinuousConstSMul 𝕜 E]
     {p : Seminorm 𝕜 E} {r : ℝ} (hr : 0 < r) (hp : p.ball 0 r ∈ (𝓝 0 : Filter E)) : Continuous p :=
   Seminorm.continuous_of_continuousAt_zero (continuousAt_zero hr hp)
 #align seminorm.continuous Seminorm.continuous
 
+/- warning: seminorm.continuous' -> Seminorm.continuous' is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_3 : AddCommGroup.{u2} E] [_inst_4 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)] [_inst_6 : TopologicalSpace.{u2} E] [_inst_7 : TopologicalAddGroup.{u2} E _inst_6 (AddCommGroup.toAddGroup.{u2} E _inst_3)] [_inst_8 : ContinuousConstSMul.{u1, u2} 𝕜 E _inst_6 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))] {p : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))} {r : Real}, (LT.lt.{0} Real Real.hasLt (OfNat.ofNat.{0} Real 0 (OfNat.mk.{0} Real 0 (Zero.zero.{0} Real Real.hasZero))) r) -> (Membership.Mem.{u2, u2} (Set.{u2} E) (Filter.{u2} E) (Filter.hasMem.{u2} E) (Seminorm.closedBall.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) _inst_3 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4)))) p (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_3)))))))) r) (nhds.{u2} E _inst_6 (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_3)))))))))) -> (Continuous.{u2, 0} E Real _inst_6 (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) (fun (_x : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) p))
+but is expected to have type
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_3 : AddCommGroup.{u2} E] [_inst_4 : Module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)] [_inst_6 : TopologicalSpace.{u2} E] [_inst_7 : TopologicalAddGroup.{u2} E _inst_6 (AddCommGroup.toAddGroup.{u2} E _inst_3)] [_inst_8 : ContinuousConstSMul.{u1, u2} 𝕜 E _inst_6 (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))] {p : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))} {r : Real}, (LT.lt.{0} Real Real.instLTReal (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) r) -> (Membership.mem.{u2, u2} (Set.{u2} E) (Filter.{u2} E) (instMembershipSetFilter.{u2} E) (Seminorm.closedBall.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) _inst_3 (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4)))) p (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))))) r) (nhds.{u2} E _inst_6 (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))))))) -> (Continuous.{u2, 0} E Real _inst_6 (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_3))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_3) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4)))) (Seminorm.seminormClass.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4)))))))) p))
+Case conversion may be inaccurate. Consider using '#align seminorm.continuous' Seminorm.continuous'ₓ'. -/
 protected theorem continuous' [TopologicalSpace E] [TopologicalAddGroup E] [ContinuousConstSMul 𝕜 E]
     {p : Seminorm 𝕜 E} {r : ℝ} (hr : 0 < r) (hp : p.closedBall 0 r ∈ (𝓝 0 : Filter E)) :
     Continuous p :=
   Seminorm.continuous_of_continuousAt_zero (continuousAt_zero' hr hp)
 #align seminorm.continuous' Seminorm.continuous'
 
+/- warning: seminorm.continuous_of_le -> Seminorm.continuous_of_le is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_3 : AddCommGroup.{u2} E] [_inst_4 : Module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)] [_inst_6 : TopologicalSpace.{u2} E] [_inst_7 : TopologicalAddGroup.{u2} E _inst_6 (AddCommGroup.toAddGroup.{u2} E _inst_3)] [_inst_8 : ContinuousConstSMul.{u1, u2} 𝕜 E _inst_6 (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))] {p : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))} {q : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))}, (Continuous.{u2, 0} E Real _inst_6 (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) (fun (_x : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) q)) -> (LE.le.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) (Preorder.toLE.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) (PartialOrder.toPreorder.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) (Seminorm.partialOrder.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))))) p q) -> (Continuous.{u2, 0} E Real _inst_6 (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) (coeFn.{succ u2, succ u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) (fun (_x : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) => E -> Real) (Seminorm.hasCoeToFun.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) p))
+but is expected to have type
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] [_inst_3 : AddCommGroup.{u2} E] [_inst_4 : Module.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3)] [_inst_6 : TopologicalSpace.{u2} E] [_inst_7 : TopologicalAddGroup.{u2} E _inst_6 (AddCommGroup.toAddGroup.{u2} E _inst_3)] [_inst_8 : ContinuousConstSMul.{u1, u2} 𝕜 E _inst_6 (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))] {p : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))} {q : Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))}, (Continuous.{u2, 0} E Real _inst_6 (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_3))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_3) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4)))) (Seminorm.seminormClass.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4)))))))) q)) -> (LE.le.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) (Preorder.toLE.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) (PartialOrder.toPreorder.{u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) (Seminorm.instPartialOrderSeminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))))) p q) -> (Continuous.{u2, 0} E Real _inst_6 (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) (FunLike.coe.{succ u2, succ u2, 1} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) E (fun (_x : E) => (fun (a._@.Mathlib.Analysis.Seminorm._hyg.840 : E) => Real) _x) (SubadditiveHomClass.toFunLike.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (AddCommGroup.toAddGroup.{u2} E _inst_3))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) E Real (AddCommGroup.toAddGroup.{u2} E _inst_3) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4)))) (Seminorm.seminormClass.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddGroup.{u2} E _inst_3) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E _inst_3))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E _inst_3) _inst_4)))))))) p))
+Case conversion may be inaccurate. Consider using '#align seminorm.continuous_of_le Seminorm.continuous_of_leₓ'. -/
 theorem continuous_of_le [TopologicalSpace E] [TopologicalAddGroup E] [ContinuousConstSMul 𝕜 E]
     {p q : Seminorm 𝕜 E} (hq : Continuous q) (hpq : p ≤ q) : Continuous p :=
   by
@@ -1213,25 +1927,41 @@ section normSeminorm
 
 variable (𝕜) (E) [NormedField 𝕜] [SeminormedAddCommGroup E] [NormedSpace 𝕜 E] {r : ℝ}
 
+#print normSeminorm /-
 /-- The norm of a seminormed group as a seminorm. -/
 def normSeminorm : Seminorm 𝕜 E :=
   { normAddGroupSeminorm E with smul' := norm_smul }
 #align norm_seminorm normSeminorm
+-/
 
+/- warning: coe_norm_seminorm -> coe_normSeminorm is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
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(CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)))))) E Real (AddZeroClass.toAdd.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (SeminormedAddGroup.toAddGroup.{u2} E (SeminormedAddCommGroup.toSeminormedAddGroup.{u2} E _inst_2)))))) (AddZeroClass.toAdd.{0} Real (AddMonoid.toAddZeroClass.{0} Real (AddCommMonoid.toAddMonoid.{0} Real (OrderedAddCommMonoid.toAddCommMonoid.{0} Real Real.orderedAddCommMonoid)))) (Preorder.toLE.{0} Real (PartialOrder.toPreorder.{0} Real (OrderedAddCommMonoid.toPartialOrder.{0} Real Real.orderedAddCommMonoid))) (AddGroupSeminormClass.toAddLEAddHomClass.{u2, u2, 0} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (SeminormedAddGroup.toAddGroup.{u2} E (SeminormedAddCommGroup.toSeminormedAddGroup.{u2} E _inst_2)) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)))))) E Real (SeminormedAddGroup.toAddGroup.{u2} E (SeminormedAddCommGroup.toSeminormedAddGroup.{u2} E _inst_2)) Real.orderedAddCommMonoid (SeminormClass.toAddGroupSeminormClass.{u2, u1, u2} (Seminorm.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (SeminormedAddGroup.toAddGroup.{u2} E (SeminormedAddCommGroup.toSeminormedAddGroup.{u2} E _inst_2)) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)))))) 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (SeminormedAddGroup.toAddGroup.{u2} E (SeminormedAddCommGroup.toSeminormedAddGroup.{u2} E _inst_2)) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))))) (Seminorm.seminormClass.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (SeminormedAddGroup.toAddGroup.{u2} E (SeminormedAddCommGroup.toSeminormedAddGroup.{u2} E _inst_2)) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))))))))) (normSeminorm.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3)) (Norm.norm.{u2} E (SeminormedAddCommGroup.toNorm.{u2} E _inst_2))
+Case conversion may be inaccurate. Consider using '#align coe_norm_seminorm coe_normSeminormₓ'. -/
 @[simp]
 theorem coe_normSeminorm : ⇑(normSeminorm 𝕜 E) = norm :=
   rfl
 #align coe_norm_seminorm coe_normSeminorm
 
+#print ball_normSeminorm /-
 @[simp]
 theorem ball_normSeminorm : (normSeminorm 𝕜 E).ball = Metric.ball :=
   by
   ext (x r y)
   simp only [Seminorm.mem_ball, Metric.mem_ball, coe_normSeminorm, dist_eq_norm]
 #align ball_norm_seminorm ball_normSeminorm
+-/
 
 variable {𝕜 E} {x : E}
 
+/- warning: absorbent_ball_zero -> absorbent_ball_zero is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : SeminormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] {r : Real}, (LT.lt.{0} Real Real.hasLt (OfNat.ofNat.{0} Real 0 (OfNat.mk.{0} Real 0 (Zero.zero.{0} Real Real.hasZero))) r) -> (Absorbent.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))))) (Metric.ball.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_2) (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (SeminormedAddGroup.toAddGroup.{u2} E (SeminormedAddCommGroup.toSeminormedAddGroup.{u2} E _inst_2))))))))) r))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : NormedField.{u2} 𝕜] [_inst_2 : SeminormedAddCommGroup.{u1} E] [_inst_3 : NormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2] {r : Real}, (LT.lt.{0} Real Real.instLTReal (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) r) -> (Absorbent.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3))))) (Metric.ball.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_2) (OfNat.ofNat.{u1} E 0 (Zero.toOfNat0.{u1} E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)))))))) r))
+Case conversion may be inaccurate. Consider using '#align absorbent_ball_zero absorbent_ball_zeroₓ'. -/
 /-- Balls at the origin are absorbent. -/
 theorem absorbent_ball_zero (hr : 0 < r) : Absorbent 𝕜 (Metric.ball (0 : E) r) :=
   by
@@ -1239,6 +1969,12 @@ theorem absorbent_ball_zero (hr : 0 < r) : Absorbent 𝕜 (Metric.ball (0 : E) r
   exact (normSeminorm _ _).absorbent_ball_zero hr
 #align absorbent_ball_zero absorbent_ball_zero
 
+/- warning: absorbent_ball -> absorbent_ball is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : SeminormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] {r : Real} {x : E}, (LT.lt.{0} Real Real.hasLt (Norm.norm.{u2} E (SeminormedAddCommGroup.toHasNorm.{u2} E _inst_2) x) r) -> (Absorbent.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))))) (Metric.ball.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_2) x r))
+but is expected to have type
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : SeminormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] {r : Real} {x : E}, (LT.lt.{0} Real Real.instLTReal (Norm.norm.{u2} E (SeminormedAddCommGroup.toNorm.{u2} E _inst_2) x) r) -> (Absorbent.{u1, u2} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))))) (Metric.ball.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_2) x r))
+Case conversion may be inaccurate. Consider using '#align absorbent_ball absorbent_ballₓ'. -/
 /-- Balls containing the origin are absorbent. -/
 theorem absorbent_ball (hx : ‖x‖ < r) : Absorbent 𝕜 (Metric.ball x r) :=
   by
@@ -1246,6 +1982,12 @@ theorem absorbent_ball (hx : ‖x‖ < r) : Absorbent 𝕜 (Metric.ball x r) :=
   exact (normSeminorm _ _).absorbent_ball hx
 #align absorbent_ball absorbent_ball
 
+/- warning: balanced_ball_zero -> balanced_ball_zero is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {E : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : SeminormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E _inst_1 _inst_2] {r : Real}, Balanced.{u1, u2} 𝕜 E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E _inst_1 _inst_2 _inst_3))))) (Metric.ball.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E _inst_2) (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (SeminormedAddGroup.toAddGroup.{u2} E (SeminormedAddCommGroup.toSeminormedAddGroup.{u2} E _inst_2))))))))) r)
+but is expected to have type
+  forall {𝕜 : Type.{u2}} {E : Type.{u1}} [_inst_1 : NormedField.{u2} 𝕜] [_inst_2 : SeminormedAddCommGroup.{u1} E] [_inst_3 : NormedSpace.{u2, u1} 𝕜 E _inst_1 _inst_2] {r : Real}, Balanced.{u2, u1} 𝕜 E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 _inst_1))) (SMulZeroClass.toSMul.{u2, u1} 𝕜 E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u2, u1} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u2, u1} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)))))) (Module.toMulActionWithZero.{u2, u1} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)) (NormedSpace.toModule.{u2, u1} 𝕜 E _inst_1 _inst_2 _inst_3))))) (Metric.ball.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E _inst_2) (OfNat.ofNat.{u1} E 0 (Zero.toOfNat0.{u1} E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E (SeminormedAddCommGroup.toAddCommGroup.{u1} E _inst_2)))))))) r)
+Case conversion may be inaccurate. Consider using '#align balanced_ball_zero balanced_ball_zeroₓ'. -/
 /-- Balls at the origin are balanced. -/
 theorem balanced_ball_zero : Balanced 𝕜 (Metric.ball (0 : E) r) :=
   by

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

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Jean Lo, Yaël Dillies, Moritz Doll
 
 ! This file was ported from Lean 3 source module analysis.seminorm
-! leanprover-community/mathlib commit 7ebf83ed9c262adbf983ef64d5e8c2ae94b625f4
+! leanprover-community/mathlib commit 09079525fd01b3dda35e96adaa08d2f943e1648c
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -248,7 +248,7 @@ theorem smul_sup [SMul R ℝ] [SMul R ℝ≥0] [IsScalarTower R ℝ≥0 ℝ] (r
     r • (p ⊔ q) = r • p ⊔ r • q :=
   have real.smul_max : ∀ x y : ℝ, r • max x y = max (r • x) (r • y) := fun x y => by
     simpa only [← smul_eq_mul, ← NNReal.smul_def, smul_one_smul ℝ≥0 r (_ : ℝ)] using
-      mul_max_of_nonneg x y (r • 1 : ℝ≥0).Prop
+      mul_max_of_nonneg x y (r • 1 : ℝ≥0).coe_nonneg
   ext fun x => real.smul_max _ _
 #align seminorm.smul_sup Seminorm.smul_sup
 

mathlib commit https://github.com/leanprover-community/mathlib/commit/7ebf83ed9c262adbf983ef64d5e8c2ae94b625f4

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Jean Lo, Yaël Dillies, Moritz Doll
 
 ! This file was ported from Lean 3 source module analysis.seminorm
-! leanprover-community/mathlib commit 832a8ba8f10f11fea99367c469ff802e69a5b8ec
+! leanprover-community/mathlib commit 7ebf83ed9c262adbf983ef64d5e8c2ae94b625f4
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -255,12 +255,22 @@ theorem smul_sup [SMul R ℝ] [SMul R ℝ≥0] [IsScalarTower R ℝ≥0 ℝ] (r
 instance : PartialOrder (Seminorm 𝕜 E) :=
   PartialOrder.lift _ FunLike.coe_injective
 
-theorem le_def (p q : Seminorm 𝕜 E) : p ≤ q ↔ (p : E → ℝ) ≤ q :=
+@[simp, norm_cast]
+theorem coe_le_coe {p q : Seminorm 𝕜 E} : (p : E → ℝ) ≤ q ↔ p ≤ q :=
   Iff.rfl
-#align seminorm.le_def Seminorm.le_def
+#align seminorm.coe_le_coe Seminorm.coe_le_coe
+
+@[simp, norm_cast]
+theorem coe_lt_coe {p q : Seminorm 𝕜 E} : (p : E → ℝ) < q ↔ p < q :=
+  Iff.rfl
+#align seminorm.coe_lt_coe Seminorm.coe_lt_coe
 
-theorem lt_def (p q : Seminorm 𝕜 E) : p < q ↔ (p : E → ℝ) < q :=
+theorem le_def {p q : Seminorm 𝕜 E} : p ≤ q ↔ ∀ x, p x ≤ q x :=
   Iff.rfl
+#align seminorm.le_def Seminorm.le_def
+
+theorem lt_def {p q : Seminorm 𝕜 E} : p < q ↔ p ≤ q ∧ ∃ x, p x < q x :=
+  Pi.lt_def
 #align seminorm.lt_def Seminorm.lt_def
 
 instance : SemilatticeSup (Seminorm 𝕜 E) :=
@@ -364,7 +374,7 @@ theorem bot_eq_zero : (⊥ : Seminorm 𝕜 E) = 0 :=
 
 theorem smul_le_smul {p q : Seminorm 𝕜 E} {a b : ℝ≥0} (hpq : p ≤ q) (hab : a ≤ b) : a • p ≤ b • q :=
   by
-  simp_rw [le_def, Pi.le_def, coe_smul]
+  simp_rw [le_def, coe_smul]
   intro x
   simp_rw [Pi.smul_apply, NNReal.smul_def, smul_eq_mul]
   exact mul_le_mul hab (hpq x) (map_nonneg p x) (NNReal.coe_nonneg b)

mathlib commit https://github.com/leanprover-community/mathlib/commit/347636a7a80595d55bedf6e6fbd996a3c39da69a

@@ -1246,5 +1246,5 @@ theorem balanced_ball_zero : Balanced 𝕜 (Metric.ball (0 : E) r) :=
 end normSeminorm
 
 -- Guard against import creep.
-assert_not_exists balanced_core
+assert_not_exists balancedCore
 

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

@@ -1072,7 +1072,7 @@ theorem convex_ball : Convex ℝ (ball p x r) :=
 theorem convex_closedBall : Convex ℝ (closedBall p x r) :=
   by
   rw [closed_ball_eq_bInter_ball]
-  exact convex_Inter₂ fun _ _ => convex_ball _ _ _
+  exact convex_interᵢ₂ fun _ _ => convex_ball _ _ _
 #align seminorm.convex_closed_ball Seminorm.convex_closedBall
 
 end Module

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

@@ -1062,7 +1062,7 @@ variable [Module ℝ E] [IsScalarTower ℝ 𝕜 E] (p : Seminorm 𝕜 E) (x : E)
 /-- Seminorm-balls are convex. -/
 theorem convex_ball : Convex ℝ (ball p x r) :=
   by
-  convert (p.convex_on.translate_left (-x)).convex_lt r
+  convert(p.convex_on.translate_left (-x)).convex_lt r
   ext y
   rw [preimage_univ, sep_univ, p.mem_ball, sub_eq_add_neg]
   rfl

mathlib commit https://github.com/leanprover-community/mathlib/commit/2af0836443b4cfb5feda0df0051acdb398304931

@@ -47,7 +47,7 @@ variable {R R' 𝕜 𝕜₂ 𝕜₃ 𝕝 E E₂ E₃ F G ι : Type _}
 
 /-- A seminorm on a module over a normed ring is a function to the reals that is positive
 semidefinite, positive homogeneous, and subadditive. -/
-structure Seminorm (𝕜 : Type _) (E : Type _) [SemiNormedRing 𝕜] [AddGroup E] [SMul 𝕜 E] extends
+structure Seminorm (𝕜 : Type _) (E : Type _) [SeminormedRing 𝕜] [AddGroup E] [SMul 𝕜 E] extends
   AddGroupSeminorm E where
   smul' : ∀ (a : 𝕜) (x : E), to_fun (a • x) = ‖a‖ * to_fun x
 #align seminorm Seminorm
@@ -57,7 +57,7 @@ attribute [nolint doc_blame] Seminorm.toAddGroupSeminorm
 /-- `seminorm_class F 𝕜 E` states that `F` is a type of seminorms on the `𝕜`-module E.
 
 You should extend this class when you extend `seminorm`. -/
-class SeminormClass (F : Type _) (𝕜 E : outParam <| Type _) [SemiNormedRing 𝕜] [AddGroup E]
+class SeminormClass (F : Type _) (𝕜 E : outParam <| Type _) [SeminormedRing 𝕜] [AddGroup E]
   [SMul 𝕜 E] extends AddGroupSeminormClass F E ℝ where
   map_smul_eq_mul (f : F) (a : 𝕜) (x : E) : f (a • x) = ‖a‖ * f x
 #align seminorm_class SeminormClass
@@ -71,7 +71,7 @@ section Of
 
 /-- Alternative constructor for a `seminorm` on an `add_comm_group E` that is a module over a
 `semi_norm_ring 𝕜`. -/
-def Seminorm.of [SemiNormedRing 𝕜] [AddCommGroup E] [Module 𝕜 E] (f : E → ℝ)
+def Seminorm.of [SeminormedRing 𝕜] [AddCommGroup E] [Module 𝕜 E] (f : E → ℝ)
     (add_le : ∀ x y : E, f (x + y) ≤ f x + f y) (smul : ∀ (a : 𝕜) (x : E), f (a • x) = ‖a‖ * f x) :
     Seminorm 𝕜 E where
   toFun := f
@@ -103,9 +103,9 @@ end Of
 
 namespace Seminorm
 
-section SemiNormedRing
+section SeminormedRing
 
-variable [SemiNormedRing 𝕜]
+variable [SeminormedRing 𝕜]
 
 section AddGroup
 
@@ -272,7 +272,7 @@ end AddGroup
 
 section Module
 
-variable [SemiNormedRing 𝕜₂] [SemiNormedRing 𝕜₃]
+variable [SeminormedRing 𝕜₂] [SeminormedRing 𝕜₃]
 
 variable {σ₁₂ : 𝕜 →+* 𝕜₂} [RingHomIsometric σ₁₂]
 
@@ -413,11 +413,11 @@ theorem norm_sub_map_le_sub (p : Seminorm 𝕜 E) (x y : E) : ‖p x - p y‖ 
 
 end Module
 
-end SemiNormedRing
+end SeminormedRing
 
-section SemiNormedCommRing
+section SeminormedCommRing
 
-variable [SemiNormedRing 𝕜] [SemiNormedCommRing 𝕜₂]
+variable [SeminormedRing 𝕜] [SeminormedCommRing 𝕜₂]
 
 variable {σ₁₂ : 𝕜 →+* 𝕜₂} [RingHomIsometric σ₁₂]
 
@@ -435,7 +435,7 @@ theorem comp_smul_apply (p : Seminorm 𝕜₂ E₂) (f : E →ₛₗ[σ₁₂] E
   map_smul_eq_mul p _ _
 #align seminorm.comp_smul_apply Seminorm.comp_smul_apply
 
-end SemiNormedCommRing
+end SeminormedCommRing
 
 section NormedField
 
@@ -601,9 +601,9 @@ end NormedField
 /-! ### Seminorm ball -/
 
 
-section SemiNormedRing
+section SeminormedRing
 
-variable [SemiNormedRing 𝕜]
+variable [SeminormedRing 𝕜]
 
 section AddCommGroup
 
@@ -771,7 +771,7 @@ section Module
 
 variable [Module 𝕜 E]
 
-variable [SemiNormedRing 𝕜₂] [AddCommGroup E₂] [Module 𝕜₂ E₂]
+variable [SeminormedRing 𝕜₂] [AddCommGroup E₂] [Module 𝕜₂ E₂]
 
 variable {σ₁₂ : 𝕜 →+* 𝕜₂} [RingHomIsometric σ₁₂]
 
@@ -920,7 +920,7 @@ end Module
 
 end AddCommGroup
 
-end SemiNormedRing
+end SeminormedRing
 
 section NormedField
 
@@ -1081,7 +1081,7 @@ end Convex
 
 section RestrictScalars
 
-variable (𝕜) {𝕜' : Type _} [NormedField 𝕜] [SemiNormedRing 𝕜'] [NormedAlgebra 𝕜 𝕜']
+variable (𝕜) {𝕜' : Type _} [NormedField 𝕜] [SeminormedRing 𝕜'] [NormedAlgebra 𝕜 𝕜']
   [NormOneClass 𝕜'] [AddCommGroup E] [Module 𝕜' E] [SMul 𝕜 E] [IsScalarTower 𝕜 𝕜' E]
 
 /-- Reinterpret a seminorm over a field `𝕜'` as a seminorm over a smaller field `𝕜`. This will
@@ -1114,7 +1114,7 @@ end RestrictScalars
 
 section Continuity
 
-variable [NontriviallyNormedField 𝕜] [SemiNormedRing 𝕝] [AddCommGroup E] [Module 𝕜 E]
+variable [NontriviallyNormedField 𝕜] [SeminormedRing 𝕝] [AddCommGroup E] [Module 𝕜 E]
 
 variable [Module 𝕝 E]
 

mathlib commit https://github.com/leanprover-community/mathlib/commit/3180fab693e2cee3bff62675571264cb8778b212

@@ -75,7 +75,7 @@ def Seminorm.of [SemiNormedRing 𝕜] [AddCommGroup E] [Module 𝕜 E] (f : E 
     (add_le : ∀ x y : E, f (x + y) ≤ f x + f y) (smul : ∀ (a : 𝕜) (x : E), f (a • x) = ‖a‖ * f x) :
     Seminorm 𝕜 E where
   toFun := f
-  map_zero' := by rw [← zero_smul 𝕜 (0 : E), smul, norm_zero, zero_mul]
+  map_zero' := by rw [← zero_smul 𝕜 (0 : E), smul, norm_zero, MulZeroClass.zero_mul]
   add_le' := add_le
   smul' := smul
   neg' x := by rw [← neg_one_smul 𝕜, smul, norm_neg, ← smul, one_smul]
@@ -135,7 +135,7 @@ theorem ext {p q : Seminorm 𝕜 E} (h : ∀ x, (p : E → ℝ) x = q x) : p = q
 #align seminorm.ext Seminorm.ext
 
 instance : Zero (Seminorm 𝕜 E) :=
-  ⟨{ AddGroupSeminorm.hasZero.zero with smul' := fun _ _ => (mul_zero _).symm }⟩
+  ⟨{ AddGroupSeminorm.hasZero.zero with smul' := fun _ _ => (MulZeroClass.mul_zero _).symm }⟩
 
 @[simp]
 theorem coe_zero : ⇑(0 : Seminorm 𝕜 E) = 0 :=
@@ -458,7 +458,7 @@ noncomputable instance : Inf (Seminorm 𝕜 E)
       smul' := by
         intro a x
         obtain rfl | ha := eq_or_ne a 0
-        · rw [norm_zero, zero_mul, zero_smul]
+        · rw [norm_zero, MulZeroClass.zero_mul, zero_smul]
           refine'
             cinfᵢ_eq_of_forall_ge_of_forall_gt_exists_lt (fun i => by positivity) fun x hx =>
               ⟨0, by rwa [map_zero, sub_zero, map_zero, add_zero]⟩
@@ -931,7 +931,7 @@ theorem ball_norm_mul_subset {p : Seminorm 𝕜 E} {k : 𝕜} {r : ℝ} :
     p.ball 0 (‖k‖ * r) ⊆ k • p.ball 0 r :=
   by
   rcases eq_or_ne k 0 with (rfl | hk)
-  · rw [norm_zero, zero_mul, ball_eq_emptyset _ le_rfl]
+  · rw [norm_zero, MulZeroClass.zero_mul, ball_eq_emptyset _ le_rfl]
     exact empty_subset _
   · intro x
     rw [Set.mem_smul_set, Seminorm.mem_ball_zero]

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

@@ -495,9 +495,9 @@ section Classical
 
 open Classical
 
-/- ./././Mathport/Syntax/Translate/Tactic/Builtin.lean:76:14: unsupported tactic `congrm #[[expr «expr⨆ , »((i), _)]] -/
-/- ./././Mathport/Syntax/Translate/Tactic/Builtin.lean:76:14: unsupported tactic `congrm #[[expr «expr⨆ , »((i), _)]] -/
-/- ./././Mathport/Syntax/Translate/Tactic/Builtin.lean:76:14: unsupported tactic `congrm #[[expr «expr⨆ , »((i), _)]] -/
+/- ./././Mathport/Syntax/Translate/Tactic/Builtin.lean:73:14: unsupported tactic `congrm #[[expr «expr⨆ , »((i), _)]] -/
+/- ./././Mathport/Syntax/Translate/Tactic/Builtin.lean:73:14: unsupported tactic `congrm #[[expr «expr⨆ , »((i), _)]] -/
+/- ./././Mathport/Syntax/Translate/Tactic/Builtin.lean:73:14: unsupported tactic `congrm #[[expr «expr⨆ , »((i), _)]] -/
 /-- We define the supremum of an arbitrary subset of `seminorm 𝕜 E` as follows:
 * if `s` is `bdd_above` *as a set of functions `E → ℝ`* (that is, if `s` is pointwise bounded
 above), we take the pointwise supremum of all elements of `s`, and we prove that it is indeed a
@@ -521,7 +521,7 @@ noncomputable instance : SupSet (Seminorm 𝕜 E)
         map_zero' := by
           rw [supᵢ_apply, ← @Real.csupᵢ_const_zero s]
           trace
-            "./././Mathport/Syntax/Translate/Tactic/Builtin.lean:76:14: unsupported tactic `congrm #[[expr «expr⨆ , »((i), _)]]"
+            "./././Mathport/Syntax/Translate/Tactic/Builtin.lean:73:14: unsupported tactic `congrm #[[expr «expr⨆ , »((i), _)]]"
           exact map_zero i.1
         add_le' := fun x y => by
           rcases h with ⟨q, hq⟩
@@ -538,14 +538,14 @@ noncomputable instance : SupSet (Seminorm 𝕜 E)
         neg' := fun x => by
           simp only [supᵢ_apply]
           trace
-            "./././Mathport/Syntax/Translate/Tactic/Builtin.lean:76:14: unsupported tactic `congrm #[[expr «expr⨆ , »((i), _)]]"
+            "./././Mathport/Syntax/Translate/Tactic/Builtin.lean:73:14: unsupported tactic `congrm #[[expr «expr⨆ , »((i), _)]]"
           exact i.1.neg' _
         smul' := fun a x => by
           simp only [supᵢ_apply]
           rw [← smul_eq_mul,
             Real.smul_supᵢ_of_nonneg (norm_nonneg a) fun i : s => (i : Seminorm 𝕜 E) x]
           trace
-            "./././Mathport/Syntax/Translate/Tactic/Builtin.lean:76:14: unsupported tactic `congrm #[[expr «expr⨆ , »((i), _)]]"
+            "./././Mathport/Syntax/Translate/Tactic/Builtin.lean:73:14: unsupported tactic `congrm #[[expr «expr⨆ , »((i), _)]]"
           exact i.1.smul' a x }
     else ⊥
 

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

@@ -226,7 +226,7 @@ instance [Monoid R] [DistribMulAction R ℝ] [SMul R ℝ≥0] [IsScalarTower R 
 instance [Semiring R] [Module R ℝ] [SMul R ℝ≥0] [IsScalarTower R ℝ≥0 ℝ] : Module R (Seminorm 𝕜 E) :=
   (coeFnAddMonoidHom_injective 𝕜 E).Module R _ coe_smul
 
-instance : HasSup (Seminorm 𝕜 E)
+instance : Sup (Seminorm 𝕜 E)
     where sup p q :=
     {
       p.toAddGroupSeminorm ⊔ q.toAddGroupSeminorm with
@@ -449,7 +449,7 @@ theorem bddBelow_range_add : BddBelow (range fun u => p u + q (x - u)) :=
     positivity⟩
 #align seminorm.bdd_below_range_add Seminorm.bddBelow_range_add
 
-noncomputable instance : HasInf (Seminorm 𝕜 E)
+noncomputable instance : Inf (Seminorm 𝕜 E)
     where inf p q :=
     {
       p.toAddGroupSeminorm ⊓

mathlib commit https://github.com/leanprover-community/mathlib/commit/eb0cb4511aaef0da2462207b67358a0e1fe1e2ee

@@ -1154,7 +1154,7 @@ protected theorem continuous_of_continuousAt_zero [TopologicalSpace E] [Topologi
     {p : Seminorm 𝕝 E} (hp : ContinuousAt p 0) : Continuous p :=
   by
   letI := TopologicalAddGroup.toUniformSpace E
-  haveI : UniformAddGroup E := topological_add_commGroup_is_uniform
+  haveI : UniformAddGroup E := comm_topologicalAddGroup_is_uniform
   exact (Seminorm.uniformContinuous_of_continuousAt_zero hp).Continuous
 #align seminorm.continuous_of_continuous_at_zero Seminorm.continuous_of_continuousAt_zero
 

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

This breaks a few simp proofs which were expecting these lemmas to apply to the data binders but not the prop binders.

@@ -591,7 +591,7 @@ protected theorem bddAbove_iff {s : Set <| Seminorm 𝕜 E} :
         le_ciSup ⟨q x, forall_mem_range.mpr fun i : s => hq (mem_image_of_mem _ i.2) x⟩ ⟨p, hp⟩⟩⟩
 #align seminorm.bdd_above_iff Seminorm.bddAbove_iff
 
-protected theorem bddAbove_range_iff {p : ι → Seminorm 𝕜 E} :
+protected theorem bddAbove_range_iff {ι : Sort*} {p : ι → Seminorm 𝕜 E} :
     BddAbove (range p) ↔ ∀ x, BddAbove (range fun i ↦ p i x) := by
   rw [Seminorm.bddAbove_iff, ← range_comp, bddAbove_range_pi]; rfl
 
@@ -600,7 +600,7 @@ protected theorem coe_sSup_eq {s : Set <| Seminorm 𝕜 E} (hs : BddAbove s) :
   Seminorm.coe_sSup_eq' (Seminorm.bddAbove_iff.mp hs)
 #align seminorm.coe_Sup_eq Seminorm.coe_sSup_eq
 
-protected theorem coe_iSup_eq {ι : Type*} {p : ι → Seminorm 𝕜 E} (hp : BddAbove (range p)) :
+protected theorem coe_iSup_eq {ι : Sort*} {p : ι → Seminorm 𝕜 E} (hp : BddAbove (range p)) :
     ↑(⨆ i, p i) = ⨆ i, ((p i : Seminorm 𝕜 E) : E → ℝ) := by
   rw [← sSup_range, Seminorm.coe_sSup_eq hp]
   exact iSup_range' (fun p : Seminorm 𝕜 E => (p : E → ℝ)) p
@@ -610,7 +610,7 @@ protected theorem sSup_apply {s : Set (Seminorm 𝕜 E)} (hp : BddAbove s) {x :
     (sSup s) x = ⨆ p : s, (p : E → ℝ) x := by
   rw [Seminorm.coe_sSup_eq hp, iSup_apply]
 
-protected theorem iSup_apply {ι : Type*} {p : ι → Seminorm 𝕜 E}
+protected theorem iSup_apply {ι : Sort*} {p : ι → Seminorm 𝕜 E}
     (hp : BddAbove (range p)) {x : E} : (⨆ i, p i) x = ⨆ i, p i x := by
   rw [Seminorm.coe_iSup_eq hp, iSup_apply]
 
@@ -972,8 +972,8 @@ section NormedField
 variable [NormedField 𝕜] [AddCommGroup E] [Module 𝕜 E] (p : Seminorm 𝕜 E) {A B : Set E} {a : 𝕜}
   {r : ℝ} {x : E}
 
-theorem closedBall_iSup {p : ι → Seminorm 𝕜 E} (hp : BddAbove (range p)) (e : E) {r : ℝ}
-    (hr : 0 < r) : closedBall (⨆ i, p i) e r = ⋂ i, closedBall (p i) e r := by
+theorem closedBall_iSup {ι : Sort*} {p : ι → Seminorm 𝕜 E} (hp : BddAbove (range p)) (e : E)
+    {r : ℝ} (hr : 0 < r) : closedBall (⨆ i, p i) e r = ⋂ i, closedBall (p i) e r := by
   cases isEmpty_or_nonempty ι
   · rw [iSup_of_empty', iInter_of_empty, Seminorm.sSup_empty]
     exact closedBall_bot _ hr
@@ -1373,7 +1373,7 @@ variable [NontriviallyNormedField 𝕜] [AddCommGroup E] [Module 𝕜 E]
 /-- Let `p i` be a family of seminorms on `E`. Let `s` be an absorbent set in `𝕜`.
 If all seminorms are uniformly bounded at every point of `s`,
 then they are bounded in the space of seminorms. -/
-lemma bddAbove_of_absorbent {p : ι → Seminorm 𝕜 E} {s : Set E} (hs : Absorbent 𝕜 s)
+lemma bddAbove_of_absorbent {ι : Sort*} {p : ι → Seminorm 𝕜 E} {s : Set E} (hs : Absorbent 𝕜 s)
     (h : ∀ x ∈ s, BddAbove (range (p · x))) : BddAbove (range p) := by
   rw [Seminorm.bddAbove_range_iff]
   intro x

@@ -1332,7 +1332,7 @@ lemma rescale_to_shell (p : Seminorm 𝕜 E) {c : 𝕜} (hc : 1 < ‖c‖) {ε :
     ∃d:𝕜, d ≠ 0 ∧ p (d • x) < ε ∧ (ε/‖c‖ ≤ p (d • x)) ∧ (‖d‖⁻¹ ≤ ε⁻¹ * ‖c‖ * p x) :=
 let ⟨_, hn⟩ := p.rescale_to_shell_zpow hc εpos hx; ⟨_, hn⟩
 
-/-- Let `p` and `q` be two seminorms on a vector space over a `nontrivially_normed_field`.
+/-- Let `p` and `q` be two seminorms on a vector space over a `NontriviallyNormedField`.
 If we have `q x ≤ C * p x` on some shell of the form `{x | ε/‖c‖ ≤ p x < ε}` (where `ε > 0`
 and `‖c‖ > 1`), then we also have `q x ≤ C * p x` for all `x` such that `p x ≠ 0`. -/
 lemma bound_of_shell

IsROrC contains data, which goes against the expectation that classes prefixed with Is are prop-valued. People have been complaining about this on and off, so this PR renames IsROrC to RCLike.

@@ -1116,7 +1116,7 @@ variable (𝕜) {𝕜' : Type*} [NormedField 𝕜] [SeminormedRing 𝕜'] [Norme
   [NormOneClass 𝕜'] [AddCommGroup E] [Module 𝕜' E] [SMul 𝕜 E] [IsScalarTower 𝕜 𝕜' E]
 
 /-- Reinterpret a seminorm over a field `𝕜'` as a seminorm over a smaller field `𝕜`. This will
-typically be used with `IsROrC 𝕜'` and `𝕜 = ℝ`. -/
+typically be used with `RCLike 𝕜'` and `𝕜 = ℝ`. -/
 protected def restrictScalars (p : Seminorm 𝕜' E) : Seminorm 𝕜 E :=
   { p with
     smul' := fun a x => by rw [← smul_one_smul 𝕜' a x, p.smul', norm_smul, norm_one, mul_one] }

Empty lines were removed by executing the following Python script twice

import os
import re


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

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

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

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

@@ -282,17 +282,11 @@ end AddGroup
 section Module
 
 variable [SeminormedRing 𝕜₂] [SeminormedRing 𝕜₃]
-
 variable {σ₁₂ : 𝕜 →+* 𝕜₂} [RingHomIsometric σ₁₂]
-
 variable {σ₂₃ : 𝕜₂ →+* 𝕜₃} [RingHomIsometric σ₂₃]
-
 variable {σ₁₃ : 𝕜 →+* 𝕜₃} [RingHomIsometric σ₁₃]
-
 variable [AddCommGroup E] [AddCommGroup E₂] [AddCommGroup E₃]
-
 variable [AddCommGroup F] [AddCommGroup G]
-
 variable [Module 𝕜 E] [Module 𝕜₂ E₂] [Module 𝕜₃ E₃] [Module 𝕜 F] [Module 𝕜 G]
 
 -- Porting note: even though this instance is found immediately by typeclass search,
@@ -452,9 +446,7 @@ end SeminormedRing
 section SeminormedCommRing
 
 variable [SeminormedRing 𝕜] [SeminormedCommRing 𝕜₂]
-
 variable {σ₁₂ : 𝕜 →+* 𝕜₂} [RingHomIsometric σ₁₂]
-
 variable [AddCommGroup E] [AddCommGroup E₂] [Module 𝕜 E] [Module 𝕜₂ E₂]
 
 theorem comp_smul (p : Seminorm 𝕜₂ E₂) (f : E →ₛₗ[σ₁₂] E₂) (c : 𝕜₂) :
@@ -821,9 +813,7 @@ end SMul
 section Module
 
 variable [Module 𝕜 E]
-
 variable [SeminormedRing 𝕜₂] [AddCommGroup E₂] [Module 𝕜₂ E₂]
-
 variable {σ₁₂ : 𝕜 →+* 𝕜₂} [RingHomIsometric σ₁₂]
 
 theorem ball_comp (p : Seminorm 𝕜₂ E₂) (f : E →ₛₗ[σ₁₂] E₂) (x : E) (r : ℝ) :
@@ -1156,7 +1146,6 @@ end RestrictScalars
 section Continuity
 
 variable [NontriviallyNormedField 𝕜] [SeminormedRing 𝕝] [AddCommGroup E] [Module 𝕜 E]
-
 variable [Module 𝕝 E]
 
 /-- A seminorm is continuous at `0` if `p.closedBall 0 r ∈ 𝓝 0` for *all* `r > 0`.

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

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

@@ -567,7 +567,7 @@ noncomputable instance instSupSet : SupSet (Seminorm 𝕜 E) where
               -- A type ascription on `_` would have also worked, but would have been more verbose.
               (le_ciSup (f := fun i => (Subtype.val i : Seminorm 𝕜 E).toFun x) ⟨q x, _⟩ i)
               (le_ciSup (f := fun i => (Subtype.val i : Seminorm 𝕜 E).toFun y) ⟨q y, _⟩ i)
-          <;> rw [mem_upperBounds, forall_range_iff]
+          <;> rw [mem_upperBounds, forall_mem_range]
           <;> exact fun j => hq (mem_image_of_mem _ j.2) _
         neg' := fun x => by
           simp only [iSup_apply]
@@ -590,13 +590,13 @@ protected theorem coe_sSup_eq' {s : Set <| Seminorm 𝕜 E}
 
 protected theorem bddAbove_iff {s : Set <| Seminorm 𝕜 E} :
     BddAbove s ↔ BddAbove ((↑) '' s : Set (E → ℝ)) :=
-  ⟨fun ⟨q, hq⟩ => ⟨q, ball_image_of_ball fun p hp => hq hp⟩, fun H =>
+  ⟨fun ⟨q, hq⟩ => ⟨q, forall_mem_image.2 fun p hp => hq hp⟩, fun H =>
     ⟨sSup s, fun p hp x => by
       dsimp
       rw [Seminorm.coe_sSup_eq' H, iSup_apply]
       rcases H with ⟨q, hq⟩
       exact
-        le_ciSup ⟨q x, forall_range_iff.mpr fun i : s => hq (mem_image_of_mem _ i.2) x⟩ ⟨p, hp⟩⟩⟩
+        le_ciSup ⟨q x, forall_mem_range.mpr fun i : s => hq (mem_image_of_mem _ i.2) x⟩ ⟨p, hp⟩⟩⟩
 #align seminorm.bdd_above_iff Seminorm.bddAbove_iff
 
 protected theorem bddAbove_range_iff {p : ι → Seminorm 𝕜 E} :
@@ -632,7 +632,7 @@ private theorem isLUB_sSup (s : Set (Seminorm 𝕜 E)) (hs₁ : BddAbove s) (hs
   refine' ⟨fun p hp x => _, fun p hp x => _⟩ <;> haveI : Nonempty ↑s := hs₂.coe_sort <;>
     dsimp <;> rw [Seminorm.coe_sSup_eq hs₁, iSup_apply]
   · rcases hs₁ with ⟨q, hq⟩
-    exact le_ciSup ⟨q x, forall_range_iff.mpr fun i : s => hq i.2 x⟩ ⟨p, hp⟩
+    exact le_ciSup ⟨q x, forall_mem_range.mpr fun i : s => hq i.2 x⟩ ⟨p, hp⟩
   · exact ciSup_le fun q => hp q.2 x
 
 /-- `Seminorm 𝕜 E` is a conditionally complete lattice.
@@ -1391,7 +1391,7 @@ lemma bddAbove_of_absorbent {p : ι → Seminorm 𝕜 E} {s : Set E} (hs : Absor
   obtain ⟨c, hc₀, hc⟩ : ∃ c ≠ 0, (c : 𝕜) • x ∈ s :=
     (eventually_mem_nhdsWithin.and (hs.eventually_nhdsWithin_zero x)).exists
   rcases h _ hc with ⟨M, hM⟩
-  refine ⟨M / ‖c‖, forall_range_iff.mpr fun i ↦ (le_div_iff' (norm_pos_iff.2 hc₀)).2 ?_⟩
+  refine ⟨M / ‖c‖, forall_mem_range.mpr fun i ↦ (le_div_iff' (norm_pos_iff.2 hc₀)).2 ?_⟩
   exact hM ⟨i, map_smul_eq_mul ..⟩
 
 end NontriviallyNormedField

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

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

@@ -528,7 +528,7 @@ theorem smul_inf [SMul R ℝ] [SMul R ℝ≥0] [IsScalarTower R ℝ≥0 ℝ] (r
 
 section Classical
 
-open Classical
+open scoped Classical
 
 /-- We define the supremum of an arbitrary subset of `Seminorm 𝕜 E` as follows:
 * if `s` is `BddAbove` *as a set of functions `E → ℝ`* (that is, if `s` is pointwise bounded

A private duplicated namespace found by the linter in #11154.

@@ -627,7 +627,7 @@ protected theorem sSup_empty : sSup (∅ : Set (Seminorm 𝕜 E)) = ⊥ := by
   rw [Seminorm.sSup_apply bddAbove_empty, Real.iSup_of_isEmpty]
   rfl
 
-private theorem Seminorm.isLUB_sSup (s : Set (Seminorm 𝕜 E)) (hs₁ : BddAbove s) (hs₂ : s.Nonempty) :
+private theorem isLUB_sSup (s : Set (Seminorm 𝕜 E)) (hs₁ : BddAbove s) (hs₂ : s.Nonempty) :
     IsLUB s (sSup s) := by
   refine' ⟨fun p hp x => _, fun p hp x => _⟩ <;> haveI : Nonempty ↑s := hs₂.coe_sort <;>
     dsimp <;> rw [Seminorm.coe_sSup_eq hs₁, iSup_apply]

... to avoid conflict with _root_.map_nonneg, see Zulip.

@@ -368,7 +368,7 @@ def pullback (f : E →ₛₗ[σ₁₂] E₂) : Seminorm 𝕜₂ E₂ →+ Semin
 
 instance instOrderBot : OrderBot (Seminorm 𝕜 E) where
   bot := 0
-  bot_le := map_nonneg
+  bot_le := apply_nonneg
 
 @[simp]
 theorem coe_bot : ⇑(⊥ : Seminorm 𝕜 E) = 0 :=
@@ -383,11 +383,11 @@ theorem smul_le_smul {p q : Seminorm 𝕜 E} {a b : ℝ≥0} (hpq : p ≤ q) (ha
     a • p ≤ b • q := by
   simp_rw [le_def]
   intro x
-  exact mul_le_mul hab (hpq x) (map_nonneg p x) (NNReal.coe_nonneg b)
+  exact mul_le_mul hab (hpq x) (apply_nonneg p x) (NNReal.coe_nonneg b)
 #align seminorm.smul_le_smul Seminorm.smul_le_smul
 
 theorem finset_sup_apply (p : ι → Seminorm 𝕜 E) (s : Finset ι) (x : E) :
-    s.sup p x = ↑(s.sup fun i => ⟨p i x, map_nonneg (p i) x⟩ : ℝ≥0) := by
+    s.sup p x = ↑(s.sup fun i => ⟨p i x, apply_nonneg (p i) x⟩ : ℝ≥0) := by
   induction' s using Finset.cons_induction_on with a s ha ih
   · rw [Finset.sup_empty, Finset.sup_empty, coe_bot, _root_.bot_eq_zero, Pi.zero_apply]
     norm_cast
@@ -397,7 +397,7 @@ theorem finset_sup_apply (p : ι → Seminorm 𝕜 E) (s : Finset ι) (x : E) :
 
 theorem exists_apply_eq_finset_sup (p : ι → Seminorm 𝕜 E) {s : Finset ι} (hs : s.Nonempty) (x : E) :
     ∃ i ∈ s, s.sup p x = p i x := by
-  rcases Finset.exists_mem_eq_sup s hs (fun i ↦ (⟨p i x, map_nonneg _ _⟩ : ℝ≥0)) with ⟨i, hi, hix⟩
+  rcases Finset.exists_mem_eq_sup s hs (fun i ↦ (⟨p i x, apply_nonneg _ _⟩ : ℝ≥0)) with ⟨i, hi, hix⟩
   rw [finset_sup_apply]
   exact ⟨i, hi, congr_arg _ hix⟩
 
@@ -412,7 +412,7 @@ theorem finset_sup_smul (p : ι → Seminorm 𝕜 E) (s : Finset ι) (C : ℝ≥
   ext x
   rw [smul_apply, finset_sup_apply, finset_sup_apply]
   symm
-  exact congr_arg ((↑) : ℝ≥0 → ℝ) (NNReal.mul_finset_sup C s (fun i ↦ ⟨p i x, map_nonneg _ _⟩))
+  exact congr_arg ((↑) : ℝ≥0 → ℝ) (NNReal.mul_finset_sup C s (fun i ↦ ⟨p i x, apply_nonneg _ _⟩))
 
 theorem finset_sup_le_sum (p : ι → Seminorm 𝕜 E) (s : Finset ι) : s.sup p ≤ ∑ i in s, p i := by
   classical
@@ -493,7 +493,7 @@ noncomputable instance instInf : Inf (Seminorm 𝕜 E) where
           refine'
             ciInf_eq_of_forall_ge_of_forall_gt_exists_lt
               -- Porting note: the following was previously `fun i => by positivity`
-              (fun i => add_nonneg (map_nonneg _ _) (map_nonneg _ _))
+              (fun i => add_nonneg (apply_nonneg _ _) (apply_nonneg _ _))
               fun x hx => ⟨0, by rwa [map_zero, sub_zero, map_zero, add_zero]⟩
         simp_rw [Real.mul_iInf_of_nonneg (norm_nonneg a), mul_add, ← map_smul_eq_mul p, ←
           map_smul_eq_mul q, smul_sub]
@@ -842,13 +842,13 @@ variable (p : Seminorm 𝕜 E)
 
 theorem preimage_metric_ball {r : ℝ} : p ⁻¹' Metric.ball 0 r = { x | p x < r } := by
   ext x
-  simp only [mem_setOf, mem_preimage, mem_ball_zero_iff, Real.norm_of_nonneg (map_nonneg p _)]
+  simp only [mem_setOf, mem_preimage, mem_ball_zero_iff, Real.norm_of_nonneg (apply_nonneg p _)]
 #align seminorm.preimage_metric_ball Seminorm.preimage_metric_ball
 
 theorem preimage_metric_closedBall {r : ℝ} : p ⁻¹' Metric.closedBall 0 r = { x | p x ≤ r } := by
   ext x
   simp only [mem_setOf, mem_preimage, mem_closedBall_zero_iff,
-    Real.norm_of_nonneg (map_nonneg p _)]
+    Real.norm_of_nonneg (apply_nonneg p _)]
 #align seminorm.preimage_metric_closed_ball Seminorm.preimage_metric_closedBall
 
 theorem ball_zero_eq_preimage_ball {r : ℝ} : p.ball 0 r = p ⁻¹' Metric.ball 0 r := by
@@ -876,7 +876,7 @@ theorem balanced_ball_zero (r : ℝ) : Balanced 𝕜 (ball p 0 r) := by
   rintro a ha x ⟨y, hy, hx⟩
   rw [mem_ball_zero, ← hx, map_smul_eq_mul]
   calc
-    _ ≤ p y := mul_le_of_le_one_left (map_nonneg p _) ha
+    _ ≤ p y := mul_le_of_le_one_left (apply_nonneg p _) ha
     _ < r := by rwa [mem_ball_zero] at hy
 #align seminorm.balanced_ball_zero Seminorm.balanced_ball_zero
 
@@ -885,7 +885,7 @@ theorem balanced_closedBall_zero (r : ℝ) : Balanced 𝕜 (closedBall p 0 r) :=
   rintro a ha x ⟨y, hy, hx⟩
   rw [mem_closedBall_zero, ← hx, map_smul_eq_mul]
   calc
-    _ ≤ p y := mul_le_of_le_one_left (map_nonneg p _) ha
+    _ ≤ p y := mul_le_of_le_one_left (apply_nonneg p _) ha
     _ ≤ r := by rwa [mem_closedBall_zero] at hy
 #align seminorm.balanced_closed_ball_zero Seminorm.balanced_closedBall_zero
 
@@ -919,7 +919,7 @@ theorem closedBall_finset_sup (p : ι → Seminorm 𝕜 E) (s : Finset ι) (x :
 theorem ball_eq_emptyset (p : Seminorm 𝕜 E) {x : E} {r : ℝ} (hr : r ≤ 0) : p.ball x r = ∅ := by
   ext
   rw [Seminorm.mem_ball, Set.mem_empty_iff_false, iff_false_iff, not_lt]
-  exact hr.trans (map_nonneg p _)
+  exact hr.trans (apply_nonneg p _)
 #align seminorm.ball_eq_emptyset Seminorm.ball_eq_emptyset
 
 @[simp]
@@ -927,13 +927,13 @@ theorem closedBall_eq_emptyset (p : Seminorm 𝕜 E) {x : E} {r : ℝ} (hr : r <
     p.closedBall x r = ∅ := by
   ext
   rw [Seminorm.mem_closedBall, Set.mem_empty_iff_false, iff_false_iff, not_le]
-  exact hr.trans_le (map_nonneg _ _)
+  exact hr.trans_le (apply_nonneg _ _)
 #align seminorm.closed_ball_eq_emptyset Seminorm.closedBall_eq_emptyset
 
 theorem closedBall_smul_ball (p : Seminorm 𝕜 E) {r₁ : ℝ} (hr₁ : r₁ ≠ 0) (r₂ : ℝ) :
     Metric.closedBall (0 : 𝕜) r₁ • p.ball 0 r₂ ⊆ p.ball 0 (r₁ * r₂) := by
   simp only [smul_subset_iff, mem_ball_zero, mem_closedBall_zero_iff, map_smul_eq_mul]
-  refine fun a ha b hb ↦ mul_lt_mul' ha hb (map_nonneg _ _) ?_
+  refine fun a ha b hb ↦ mul_lt_mul' ha hb (apply_nonneg _ _) ?_
   exact hr₁.lt_or_lt.resolve_left <| ((norm_nonneg a).trans ha).not_lt
 
 theorem ball_smul_closedBall (p : Seminorm 𝕜 E) (r₁ : ℝ) {r₂ : ℝ} (hr₂ : r₂ ≠ 0) :
@@ -943,7 +943,7 @@ theorem ball_smul_closedBall (p : Seminorm 𝕜 E) (r₁ : ℝ) {r₂ : ℝ} (hr
   intro a ha b hb
   rw [mul_comm, mul_comm r₁]
   refine mul_lt_mul' hb ha (norm_nonneg _) (hr₂.lt_or_lt.resolve_left ?_)
-  exact ((map_nonneg p b).trans hb).not_lt
+  exact ((apply_nonneg p b).trans hb).not_lt
 
 theorem ball_smul_ball (p : Seminorm 𝕜 E) (r₁ r₂ : ℝ) :
     Metric.ball (0 : 𝕜) r₁ • p.ball 0 r₂ ⊆ p.ball 0 (r₁ * r₂) := by
@@ -1369,7 +1369,7 @@ lemma bound_of_shell_sup (p : ι → Seminorm 𝕜 E) (s : Finset ι)
     q x ≤ (C • s.sup p) x := by
   rcases hx with ⟨j, hj, hjx⟩
   have : (s.sup p) x ≠ 0 :=
-    ne_of_gt ((hjx.symm.lt_of_le <| map_nonneg _ _).trans_le (le_finset_sup_apply hj))
+    ne_of_gt ((hjx.symm.lt_of_le <| apply_nonneg _ _).trans_le (le_finset_sup_apply hj))
   refine (s.sup p).bound_of_shell_smul q ε_pos hc (fun y hle hlt ↦ ?_) this
   rcases exists_apply_eq_finset_sup p ⟨j, hj⟩ y with ⟨i, hi, hiy⟩
   rw [smul_apply, hiy]

• Add absorbent_iff_eventually_nhdsWithin_zero.
• Use it to golf Seminorm.bddAbove_of_absorbent.

@@ -1381,21 +1381,18 @@ section NontriviallyNormedField
 
 variable [NontriviallyNormedField 𝕜] [AddCommGroup E] [Module 𝕜 E]
 
+/-- Let `p i` be a family of seminorms on `E`. Let `s` be an absorbent set in `𝕜`.
+If all seminorms are uniformly bounded at every point of `s`,
+then they are bounded in the space of seminorms. -/
 lemma bddAbove_of_absorbent {p : ι → Seminorm 𝕜 E} {s : Set E} (hs : Absorbent 𝕜 s)
-    (h : ∀ x ∈ s, BddAbove (range fun i ↦ p i x)) :
-    BddAbove (range p) := by
+    (h : ∀ x ∈ s, BddAbove (range (p · x))) : BddAbove (range p) := by
   rw [Seminorm.bddAbove_range_iff]
   intro x
-  rcases (hs x).exists_pos with ⟨r, hr, hrx⟩
-  rcases exists_lt_norm 𝕜 r with ⟨k, hk⟩
-  have hk0 : k ≠ 0 := norm_pos_iff.mp (hr.trans hk)
-  have : k⁻¹ • x ∈ s := by
-    rw [← mem_smul_set_iff_inv_smul_mem₀ hk0]
-    exact hrx k hk.le rfl
-  rcases h (k⁻¹ • x) this with ⟨M, hM⟩
-  refine ⟨‖k‖ * M, forall_range_iff.mpr fun i ↦ ?_⟩
-  have := (forall_range_iff.mp hM) i
-  rwa [map_smul_eq_mul, norm_inv, inv_mul_le_iff (hr.trans hk)] at this
+  obtain ⟨c, hc₀, hc⟩ : ∃ c ≠ 0, (c : 𝕜) • x ∈ s :=
+    (eventually_mem_nhdsWithin.and (hs.eventually_nhdsWithin_zero x)).exists
+  rcases h _ hc with ⟨M, hM⟩
+  refine ⟨M / ‖c‖, forall_range_iff.mpr fun i ↦ (le_div_iff' (norm_pos_iff.2 hc₀)).2 ?_⟩
+  exact hM ⟨i, map_smul_eq_mul ..⟩
 
 end NontriviallyNormedField
 

@@ -6,7 +6,6 @@ Authors: Jean Lo, Yaël Dillies, Moritz Doll
 import Mathlib.Data.Real.Pointwise
 import Mathlib.Analysis.Convex.Function
 import Mathlib.Analysis.LocallyConvex.Basic
-import Mathlib.Analysis.Normed.Group.AddTorsor
 import Mathlib.Data.Real.Sqrt
 
 #align_import analysis.seminorm from "leanprover-community/mathlib"@"09079525fd01b3dda35e96adaa08d2f943e1648c"

The FunLike hierarchy is very big and gets scanned through each time we need a coercion (via the CoeFun instance). It looks like unbundled inheritance suits Lean 4 better here. The only class that still extends FunLike is EquivLike, since that has a custom coe_injective' field that is easier to implement. All other classes should take FunLike or EquivLike as a parameter.

Zulip thread

Important changes

Previously, morphism classes would be Type-valued and extend FunLike:

/-- `MyHomClass F A B` states that `F` is a type of `MyClass.op`-preserving morphisms.
You should extend this class when you extend `MyHom`. -/
class MyHomClass (F : Type*) (A B : outParam <| Type*) [MyClass A] [MyClass B]
  extends FunLike F A B :=
(map_op : ∀ (f : F) (x y : A), f (MyClass.op x y) = MyClass.op (f x) (f y))

After this PR, they should be Prop-valued and take FunLike as a parameter:

/-- `MyHomClass F A B` states that `F` is a type of `MyClass.op`-preserving morphisms.
You should extend this class when you extend `MyHom`. -/
class MyHomClass (F : Type*) (A B : outParam <| Type*) [MyClass A] [MyClass B]
  [FunLike F A B] : Prop :=
(map_op : ∀ (f : F) (x y : A), f (MyClass.op x y) = MyClass.op (f x) (f y))

(Note that A B stay marked as outParam even though they are not purely required to be so due to the FunLike parameter already filling them in. This is required to see through type synonyms, which is important in the category theory library. Also, I think keeping them as outParam is slightly faster.)

Similarly, MyEquivClass should take EquivLike as a parameter.

As a result, every mention of [MyHomClass F A B] should become [FunLike F A B] [MyHomClass F A B].

Remaining issues

Slower (failing) search

While overall this gives some great speedups, there are some cases that are noticeably slower. In particular, a failing application of a lemma such as map_mul is more expensive. This is due to suboptimal processing of arguments. For example:

variable [FunLike F M N] [Mul M] [Mul N] (f : F) (x : M) (y : M)

theorem map_mul [MulHomClass F M N] : f (x * y) = f x * f y

example [AddHomClass F A B] : f (x * y) = f x * f y := map_mul f _ _

Before this PR, applying map_mul f gives the goals [Mul ?M] [Mul ?N] [MulHomClass F ?M ?N]. Since M and N are out_params, [MulHomClass F ?M ?N] is synthesized first, supplies values for ?M and ?N and then the Mul M and Mul N instances can be found.

After this PR, the goals become [FunLike F ?M ?N] [Mul ?M] [Mul ?N] [MulHomClass F ?M ?N]. Now [FunLike F ?M ?N] is synthesized first, supplies values for ?M and ?N and then the Mul M and Mul N instances can be found, before trying MulHomClass F M N which fails. Since the Mul hierarchy is very big, this can be slow to fail, especially when there is no such Mul instance.

A long-term but harder to achieve solution would be to specify the order in which instance goals get solved. For example, we'd like to change the arguments to map_mul to look like [FunLike F M N] [Mul M] [Mul N] [highPriority <| MulHomClass F M N] because MulHomClass fails or succeeds much faster than the others.

As a consequence, the simpNF linter is much slower since by design it tries and fails to apply many map_ lemmas. The same issue occurs a few times in existing calls to simp [map_mul], where map_mul is tried "too soon" and fails. Thanks to the speedup of leanprover/lean4#2478 the impact is very limited, only in files that already were close to the timeout.

simp not firing sometimes

This affects map_smulₛₗ and related definitions. For simp lemmas Lean apparently uses a slightly different mechanism to find instances, so that rw can find every argument to map_smulₛₗ successfully but simp can't: leanprover/lean4#3701.

Missing instances due to unification failing

Especially in the category theory library, we might sometimes have a type A which is also accessible as a synonym (Bundled A hA).1. Instance synthesis doesn't always work if we have f : A →* B but x * y : (Bundled A hA).1 or vice versa. This seems to be mostly fixed by keeping A B as outParams in MulHomClass F A B. (Presumably because Lean will do a definitional check A =?= (Bundled A hA).1 instead of using the syntax in the discrimination tree.)

Workaround for issues

The timeouts can be worked around for now by specifying which map_mul we mean, either as map_mul f for some explicit f, or as e.g. MonoidHomClass.map_mul.

map_smulₛₗ not firing as simp lemma can be worked around by going back to the pre-FunLike situation and making LinearMap.map_smulₛₗ a simp lemma instead of the generic map_smulₛₗ. Writing simp [map_smulₛₗ _] also works.

Co-authored-by: Matthew Ballard <matt@mrb.email> Co-authored-by: Scott Morrison <scott.morrison@gmail.com> Co-authored-by: Scott Morrison <scott@tqft.net> Co-authored-by: Anne Baanen <Vierkantor@users.noreply.github.com>

@@ -57,7 +57,7 @@ attribute [nolint docBlame] Seminorm.toAddGroupSeminorm
 
 You should extend this class when you extend `Seminorm`. -/
 class SeminormClass (F : Type*) (𝕜 E : outParam <| Type*) [SeminormedRing 𝕜] [AddGroup E]
-  [SMul 𝕜 E] extends AddGroupSeminormClass F E ℝ where
+  [SMul 𝕜 E] [FunLike F E ℝ] extends AddGroupSeminormClass F E ℝ : Prop where
   /-- The seminorm of a scalar multiplication is the product of the absolute value of the scalar
   and the original seminorm. -/
   map_smul_eq_mul (f : F) (a : 𝕜) (x : E) : f (a • x) = ‖a‖ * f x
@@ -115,22 +115,20 @@ section SMul
 
 variable [SMul 𝕜 E]
 
-instance instSeminormClass : SeminormClass (Seminorm 𝕜 E) 𝕜 E where
+instance instFunLike : FunLike (Seminorm 𝕜 E) E ℝ where
   coe f := f.toFun
   coe_injective' f g h := by
     rcases f with ⟨⟨_⟩⟩
     rcases g with ⟨⟨_⟩⟩
     congr
+
+instance instSeminormClass : SeminormClass (Seminorm 𝕜 E) 𝕜 E where
   map_zero f := f.map_zero'
   map_add_le_add f := f.add_le'
   map_neg_eq_map f := f.neg'
   map_smul_eq_mul f := f.smul'
 #align seminorm.seminorm_class Seminorm.instSeminormClass
 
-/-- Helper instance for when there's too many metavariables to apply `DFunLike.hasCoeToFun`. -/
-instance instCoeFun : CoeFun (Seminorm 𝕜 E) fun _ => E → ℝ :=
-  DFunLike.hasCoeToFun
-
 @[ext]
 theorem ext {p q : Seminorm 𝕜 E} (h : ∀ x, (p : E → ℝ) x = q x) : p = q :=
   DFunLike.ext p q h
@@ -310,7 +308,8 @@ def comp (p : Seminorm 𝕜₂ E₂) (f : E →ₛₗ[σ₁₂] E₂) : Seminorm
     toFun := fun x => p (f x)
     -- Porting note: the `simp only` below used to be part of the `rw`.
     -- I'm not sure why this change was needed, and am worried by it!
-    smul' := fun _ _ => by simp only [map_smulₛₗ]; rw [map_smul_eq_mul, RingHomIsometric.is_iso] }
+    -- Note: #8386 had to change `map_smulₛₗ` to `map_smulₛₗ _`
+    smul' := fun _ _ => by simp only [map_smulₛₗ _]; rw [map_smul_eq_mul, RingHomIsometric.is_iso] }
 #align seminorm.comp Seminorm.comp
 
 theorem coe_comp (p : Seminorm 𝕜₂ E₂) (f : E →ₛₗ[σ₁₂] E₂) : ⇑(p.comp f) = p ∘ f :=

and a few more to clarify that they are about IsEmpty, not about ∅. Make a few more lemmas simp.`

@@ -560,7 +560,7 @@ noncomputable instance instSupSet : SupSet (Seminorm 𝕜 E) where
         add_le' := fun x y => by
           rcases h with ⟨q, hq⟩
           obtain rfl | h := s.eq_empty_or_nonempty
-          · simp [Real.ciSup_empty]
+          · simp [Real.iSup_of_isEmpty]
           haveI : Nonempty ↑s := h.coe_sort
           simp only [iSup_apply]
           refine' ciSup_le fun i =>
@@ -626,7 +626,7 @@ protected theorem iSup_apply {ι : Type*} {p : ι → Seminorm 𝕜 E}
 
 protected theorem sSup_empty : sSup (∅ : Set (Seminorm 𝕜 E)) = ⊥ := by
   ext
-  rw [Seminorm.sSup_apply bddAbove_empty, Real.ciSup_empty]
+  rw [Seminorm.sSup_apply bddAbove_empty, Real.iSup_of_isEmpty]
   rfl
 
 private theorem Seminorm.isLUB_sSup (s : Set (Seminorm 𝕜 E)) (hs₁ : BddAbove s) (hs₂ : s.Nonempty) :

Co-authored-by: s1m7u <68893305+s1m7u@users.noreply.github.com> Co-authored-by: Jeremy Tan Jie Rui <reddeloostw@gmail.com>

@@ -963,9 +963,8 @@ theorem closedBall_smul_closedBall (p : Seminorm 𝕜 E) (r₁ r₂ : ℝ) :
   exact (norm_nonneg _).trans ha
 #align seminorm.closed_ball_smul_closed_ball Seminorm.closedBall_smul_closedBall
 
--- Porting note: TODO: make that an `iff`
-theorem neg_mem_ball_zero (r : ℝ) {x : E} (hx : x ∈ ball p 0 r) : -x ∈ ball p 0 r := by
-  simpa only [mem_ball_zero, map_neg_eq_map] using hx
+theorem neg_mem_ball_zero {r : ℝ} {x : E} : -x ∈ ball p 0 r ↔ x ∈ ball p 0 r := by
+  simp only [mem_ball_zero, map_neg_eq_map]
 #align seminorm.symmetric_ball_zero Seminorm.neg_mem_ball_zero
 
 @[simp]

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

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

@@ -7,6 +7,7 @@ import Mathlib.Data.Real.Pointwise
 import Mathlib.Analysis.Convex.Function
 import Mathlib.Analysis.LocallyConvex.Basic
 import Mathlib.Analysis.Normed.Group.AddTorsor
+import Mathlib.Data.Real.Sqrt
 
 #align_import analysis.seminorm from "leanprover-community/mathlib"@"09079525fd01b3dda35e96adaa08d2f943e1648c"
 

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

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

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

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

@@ -126,13 +126,13 @@ instance instSeminormClass : SeminormClass (Seminorm 𝕜 E) 𝕜 E where
   map_smul_eq_mul f := f.smul'
 #align seminorm.seminorm_class Seminorm.instSeminormClass
 
-/-- Helper instance for when there's too many metavariables to apply `FunLike.hasCoeToFun`. -/
+/-- Helper instance for when there's too many metavariables to apply `DFunLike.hasCoeToFun`. -/
 instance instCoeFun : CoeFun (Seminorm 𝕜 E) fun _ => E → ℝ :=
-  FunLike.hasCoeToFun
+  DFunLike.hasCoeToFun
 
 @[ext]
 theorem ext {p q : Seminorm 𝕜 E} (h : ∀ x, (p : E → ℝ) x = q x) : p = q :=
-  FunLike.ext p q h
+  DFunLike.ext p q h
 #align seminorm.ext Seminorm.ext
 
 instance instZero : Zero (Seminorm 𝕜 E) :=
@@ -195,14 +195,14 @@ theorem add_apply (p q : Seminorm 𝕜 E) (x : E) : (p + q) x = p x + q x :=
 #align seminorm.add_apply Seminorm.add_apply
 
 instance instAddMonoid : AddMonoid (Seminorm 𝕜 E) :=
-  FunLike.coe_injective.addMonoid _ rfl coe_add fun _ _ => by rfl
+  DFunLike.coe_injective.addMonoid _ rfl coe_add fun _ _ => by rfl
 
 instance instOrderedCancelAddCommMonoid : OrderedCancelAddCommMonoid (Seminorm 𝕜 E) :=
-  FunLike.coe_injective.orderedCancelAddCommMonoid _ rfl coe_add fun _ _ => rfl
+  DFunLike.coe_injective.orderedCancelAddCommMonoid _ rfl coe_add fun _ _ => rfl
 
 instance instMulAction [Monoid R] [MulAction R ℝ] [SMul R ℝ≥0] [IsScalarTower R ℝ≥0 ℝ] :
     MulAction R (Seminorm 𝕜 E) :=
-  FunLike.coe_injective.mulAction _ (by intros; rfl)
+  DFunLike.coe_injective.mulAction _ (by intros; rfl)
 
 variable (𝕜 E)
 
@@ -215,7 +215,7 @@ def coeFnAddMonoidHom : AddMonoidHom (Seminorm 𝕜 E) (E → ℝ) where
 #align seminorm.coe_fn_add_monoid_hom Seminorm.coeFnAddMonoidHom
 
 theorem coeFnAddMonoidHom_injective : Function.Injective (coeFnAddMonoidHom 𝕜 E) :=
-  show @Function.Injective (Seminorm 𝕜 E) (E → ℝ) (↑) from FunLike.coe_injective
+  show @Function.Injective (Seminorm 𝕜 E) (E → ℝ) (↑) from DFunLike.coe_injective
 #align seminorm.coe_fn_add_monoid_hom_injective Seminorm.coeFnAddMonoidHom_injective
 
 variable {𝕜 E}
@@ -254,7 +254,7 @@ theorem smul_sup [SMul R ℝ] [SMul R ℝ≥0] [IsScalarTower R ℝ≥0 ℝ] (r
 #align seminorm.smul_sup Seminorm.smul_sup
 
 instance instPartialOrder : PartialOrder (Seminorm 𝕜 E) :=
-  PartialOrder.lift _ FunLike.coe_injective
+  PartialOrder.lift _ DFunLike.coe_injective
 
 @[simp, norm_cast]
 theorem coe_le_coe {p q : Seminorm 𝕜 E} : (p : E → ℝ) ≤ q ↔ p ≤ q :=
@@ -275,7 +275,7 @@ theorem lt_def {p q : Seminorm 𝕜 E} : p < q ↔ p ≤ q ∧ ∃ x, p x < q x
 #align seminorm.lt_def Seminorm.lt_def
 
 instance instSemilatticeSup : SemilatticeSup (Seminorm 𝕜 E) :=
-  Function.Injective.semilatticeSup _ FunLike.coe_injective coe_sup
+  Function.Injective.semilatticeSup _ DFunLike.coe_injective coe_sup
 
 end SMul
 

Redefine Absorbs and Absorbent in terms of the cobounded filter.

@@ -1036,7 +1036,7 @@ theorem smul_closedBall_zero {p : Seminorm 𝕜 E} {k : 𝕜} {r : ℝ} (hk : 0
 theorem ball_zero_absorbs_ball_zero (p : Seminorm 𝕜 E) {r₁ r₂ : ℝ} (hr₁ : 0 < r₁) :
     Absorbs 𝕜 (p.ball 0 r₁) (p.ball 0 r₂) := by
   rcases exists_pos_lt_mul hr₁ r₂ with ⟨r, hr₀, hr⟩
-  refine' ⟨r, hr₀, fun a ha x hx => _⟩
+  refine .of_norm ⟨r, fun a ha x hx => ?_⟩
   rw [smul_ball_zero (norm_pos_iff.1 <| hr₀.trans_le ha), p.mem_ball_zero]
   rw [p.mem_ball_zero] at hx
   exact hx.trans (hr.trans_le <| by gcongr)
@@ -1388,12 +1388,12 @@ lemma bddAbove_of_absorbent {p : ι → Seminorm 𝕜 E} {s : Set E} (hs : Absor
     BddAbove (range p) := by
   rw [Seminorm.bddAbove_range_iff]
   intro x
-  rcases hs x with ⟨r, hr, hrx⟩
+  rcases (hs x).exists_pos with ⟨r, hr, hrx⟩
   rcases exists_lt_norm 𝕜 r with ⟨k, hk⟩
   have hk0 : k ≠ 0 := norm_pos_iff.mp (hr.trans hk)
   have : k⁻¹ • x ∈ s := by
     rw [← mem_smul_set_iff_inv_smul_mem₀ hk0]
-    exact hrx k hk.le
+    exact hrx k hk.le rfl
   rcases h (k⁻¹ • x) this with ⟨M, hM⟩
   refine ⟨‖k‖ * M, forall_range_iff.mpr fun i ↦ ?_⟩
   have := (forall_range_iff.mp hM) i

After this PR, no file in Geometry uses autoImplicit, and in Analysis it's scoped to six declarations.

@@ -35,9 +35,6 @@ For a module over a normed ring:
 seminorm, locally convex, LCTVS
 -/
 
-set_option autoImplicit true
-
-
 open NormedField Set Filter
 
 open scoped BigOperators NNReal Pointwise Topology Uniformity
@@ -966,7 +963,7 @@ theorem closedBall_smul_closedBall (p : Seminorm 𝕜 E) (r₁ r₂ : ℝ) :
 #align seminorm.closed_ball_smul_closed_ball Seminorm.closedBall_smul_closedBall
 
 -- Porting note: TODO: make that an `iff`
-theorem neg_mem_ball_zero (r : ℝ) (hx : x ∈ ball p 0 r) : -x ∈ ball p 0 r := by
+theorem neg_mem_ball_zero (r : ℝ) {x : E} (hx : x ∈ ball p 0 r) : -x ∈ ball p 0 r := by
   simpa only [mem_ball_zero, map_neg_eq_map] using hx
 #align seminorm.symmetric_ball_zero Seminorm.neg_mem_ball_zero
 

See Zulip thread for the discussion.

@@ -1374,7 +1374,7 @@ lemma bound_of_shell_sup (p : ι → Seminorm 𝕜 E) (s : Finset ι)
     q x ≤ (C • s.sup p) x := by
   rcases hx with ⟨j, hj, hjx⟩
   have : (s.sup p) x ≠ 0 :=
-    ne_of_gt ((hjx.symm.lt_of_le $ map_nonneg _ _).trans_le (le_finset_sup_apply hj))
+    ne_of_gt ((hjx.symm.lt_of_le <| map_nonneg _ _).trans_le (le_finset_sup_apply hj))
   refine (s.sup p).bound_of_shell_smul q ε_pos hc (fun y hle hlt ↦ ?_) this
   rcases exists_apply_eq_finset_sup p ⟨j, hj⟩ y with ⟨i, hi, hiy⟩
   rw [smul_apply, hiy]

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

The two reasons to make the change are:

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

@@ -792,14 +792,14 @@ theorem closedBall_antitone {p q : Seminorm 𝕜 E} (h : q ≤ p) :
 
 theorem ball_add_ball_subset (p : Seminorm 𝕜 E) (r₁ r₂ : ℝ) (x₁ x₂ : E) :
     p.ball (x₁ : E) r₁ + p.ball (x₂ : E) r₂ ⊆ p.ball (x₁ + x₂) (r₁ + r₂) := by
-  rintro x ⟨y₁, y₂, hy₁, hy₂, rfl⟩
+  rintro x ⟨y₁, hy₁, y₂, hy₂, rfl⟩
   rw [mem_ball, add_sub_add_comm]
   exact (map_add_le_add p _ _).trans_lt (add_lt_add hy₁ hy₂)
 #align seminorm.ball_add_ball_subset Seminorm.ball_add_ball_subset
 
 theorem closedBall_add_closedBall_subset (p : Seminorm 𝕜 E) (r₁ r₂ : ℝ) (x₁ x₂ : E) :
     p.closedBall (x₁ : E) r₁ + p.closedBall (x₂ : E) r₂ ⊆ p.closedBall (x₁ + x₂) (r₁ + r₂) := by
-  rintro x ⟨y₁, y₂, hy₁, hy₂, rfl⟩
+  rintro x ⟨y₁, hy₁, y₂, hy₂, rfl⟩
   rw [mem_closedBall, add_sub_add_comm]
   exact (map_add_le_add p _ _).trans (add_le_add hy₁ hy₂)
 #align seminorm.closed_ball_add_closed_ball_subset Seminorm.closedBall_add_closedBall_subset

I used the regex \(\(· (.) ·\) (.)\), replacing with ($2 $1 ·).

@@ -1073,7 +1073,7 @@ protected theorem absorbent_closedBall (hpr : p x < r) : Absorbent 𝕜 (closedB
 
 @[simp]
 theorem smul_ball_preimage (p : Seminorm 𝕜 E) (y : E) (r : ℝ) (a : 𝕜) (ha : a ≠ 0) :
-    (· • ·) a ⁻¹' p.ball y r = p.ball (a⁻¹ • y) (r / ‖a‖) :=
+    (a • ·) ⁻¹' p.ball y r = p.ball (a⁻¹ • y) (r / ‖a‖) :=
   Set.ext fun _ => by
     rw [mem_preimage, mem_ball, mem_ball, lt_div_iff (norm_pos_iff.mpr ha), mul_comm, ←
       map_smul_eq_mul p, smul_sub, smul_inv_smul₀ ha]

We had ball_smul_ball and closedBall_smul_closedBall. Add versions with mixed ball and closedBall. Also move this lemmas below and golf the proofs.

This was already merged in #8724 but accidentally got reverted in #8725

See Zulip

@@ -919,31 +919,6 @@ theorem closedBall_finset_sup (p : ι → Seminorm 𝕜 E) (s : Finset ι) (x :
   exact closedBall_finset_sup_eq_iInter _ _ _ hr
 #align seminorm.closed_ball_finset_sup Seminorm.closedBall_finset_sup
 
-theorem ball_smul_ball (p : Seminorm 𝕜 E) (r₁ r₂ : ℝ) :
-    Metric.ball (0 : 𝕜) r₁ • p.ball 0 r₂ ⊆ p.ball 0 (r₁ * r₂) := by
-  rw [Set.subset_def]
-  intro x hx
-  rw [Set.mem_smul] at hx
-  rcases hx with ⟨a, y, ha, hy, hx⟩
-  rw [← hx, mem_ball_zero, map_smul_eq_mul]
-  gcongr
-  · exact mem_ball_zero_iff.mp ha
-  · exact p.mem_ball_zero.mp hy
-#align seminorm.ball_smul_ball Seminorm.ball_smul_ball
-
-theorem closedBall_smul_closedBall (p : Seminorm 𝕜 E) (r₁ r₂ : ℝ) :
-    Metric.closedBall (0 : 𝕜) r₁ • p.closedBall 0 r₂ ⊆ p.closedBall 0 (r₁ * r₂) := by
-  rw [Set.subset_def]
-  intro x hx
-  rw [Set.mem_smul] at hx
-  rcases hx with ⟨a, y, ha, hy, hx⟩
-  rw [← hx, mem_closedBall_zero, map_smul_eq_mul]
-  rw [mem_closedBall_zero_iff] at ha
-  gcongr
-  · exact (norm_nonneg a).trans ha
-  · exact p.mem_closedBall_zero.mp hy
-#align seminorm.closed_ball_smul_closed_ball Seminorm.closedBall_smul_closedBall
-
 @[simp]
 theorem ball_eq_emptyset (p : Seminorm 𝕜 E) {x : E} {r : ℝ} (hr : r ≤ 0) : p.ball x r = ∅ := by
   ext
@@ -959,6 +934,37 @@ theorem closedBall_eq_emptyset (p : Seminorm 𝕜 E) {x : E} {r : ℝ} (hr : r <
   exact hr.trans_le (map_nonneg _ _)
 #align seminorm.closed_ball_eq_emptyset Seminorm.closedBall_eq_emptyset
 
+theorem closedBall_smul_ball (p : Seminorm 𝕜 E) {r₁ : ℝ} (hr₁ : r₁ ≠ 0) (r₂ : ℝ) :
+    Metric.closedBall (0 : 𝕜) r₁ • p.ball 0 r₂ ⊆ p.ball 0 (r₁ * r₂) := by
+  simp only [smul_subset_iff, mem_ball_zero, mem_closedBall_zero_iff, map_smul_eq_mul]
+  refine fun a ha b hb ↦ mul_lt_mul' ha hb (map_nonneg _ _) ?_
+  exact hr₁.lt_or_lt.resolve_left <| ((norm_nonneg a).trans ha).not_lt
+
+theorem ball_smul_closedBall (p : Seminorm 𝕜 E) (r₁ : ℝ) {r₂ : ℝ} (hr₂ : r₂ ≠ 0) :
+    Metric.ball (0 : 𝕜) r₁ • p.closedBall 0 r₂ ⊆ p.ball 0 (r₁ * r₂) := by
+  simp only [smul_subset_iff, mem_ball_zero, mem_closedBall_zero, mem_ball_zero_iff,
+    map_smul_eq_mul]
+  intro a ha b hb
+  rw [mul_comm, mul_comm r₁]
+  refine mul_lt_mul' hb ha (norm_nonneg _) (hr₂.lt_or_lt.resolve_left ?_)
+  exact ((map_nonneg p b).trans hb).not_lt
+
+theorem ball_smul_ball (p : Seminorm 𝕜 E) (r₁ r₂ : ℝ) :
+    Metric.ball (0 : 𝕜) r₁ • p.ball 0 r₂ ⊆ p.ball 0 (r₁ * r₂) := by
+  rcases eq_or_ne r₂ 0 with rfl | hr₂
+  · simp
+  · exact (smul_subset_smul_left (ball_subset_closedBall _ _ _)).trans
+      (ball_smul_closedBall _ _ hr₂)
+#align seminorm.ball_smul_ball Seminorm.ball_smul_ball
+
+theorem closedBall_smul_closedBall (p : Seminorm 𝕜 E) (r₁ r₂ : ℝ) :
+    Metric.closedBall (0 : 𝕜) r₁ • p.closedBall 0 r₂ ⊆ p.closedBall 0 (r₁ * r₂) := by
+  simp only [smul_subset_iff, mem_closedBall_zero, mem_closedBall_zero_iff, map_smul_eq_mul]
+  intro a ha b hb
+  gcongr
+  exact (norm_nonneg _).trans ha
+#align seminorm.closed_ball_smul_closed_ball Seminorm.closedBall_smul_closedBall
+
 -- Porting note: TODO: make that an `iff`
 theorem neg_mem_ball_zero (r : ℝ) (hx : x ∈ ball p 0 r) : -x ∈ ball p 0 r := by
   simpa only [mem_ball_zero, map_neg_eq_map] using hx

Move parts of the proof of "two uniformities are equal" up while generalizing it. Also add a ContinuousConstSMul instance that needs less assumptions than ContinuousSMul.

@@ -40,7 +40,7 @@ set_option autoImplicit true
 
 open NormedField Set Filter
 
-open BigOperators NNReal Pointwise Topology
+open scoped BigOperators NNReal Pointwise Topology Uniformity
 
 variable {R R' 𝕜 𝕜₂ 𝕜₃ 𝕝 E E₂ E₃ F G ι : Type*}
 
@@ -396,7 +396,7 @@ theorem finset_sup_apply (p : ι → Seminorm 𝕜 E) (s : Finset ι) (x : E) :
   · rw [Finset.sup_empty, Finset.sup_empty, coe_bot, _root_.bot_eq_zero, Pi.zero_apply]
     norm_cast
   · rw [Finset.sup_cons, Finset.sup_cons, coe_sup, sup_eq_max, Pi.sup_apply, sup_eq_max,
-      NNReal.coe_max, coe_mk, ih]
+      NNReal.coe_max, NNReal.coe_mk, ih]
 #align seminorm.finset_sup_apply Seminorm.finset_sup_apply
 
 theorem exists_apply_eq_finset_sup (p : ι → Seminorm 𝕜 E) {s : Finset ι} (hs : s.Nonempty) (x : E) :
@@ -897,14 +897,14 @@ theorem ball_finset_sup_eq_iInter (p : ι → Seminorm 𝕜 E) (s : Finset ι) (
     (hr : 0 < r) : ball (s.sup p) x r = ⋂ i ∈ s, ball (p i) x r := by
   lift r to NNReal using hr.le
   simp_rw [ball, iInter_setOf, finset_sup_apply, NNReal.coe_lt_coe,
-    Finset.sup_lt_iff (show ⊥ < r from hr), ← NNReal.coe_lt_coe, coe_mk]
+    Finset.sup_lt_iff (show ⊥ < r from hr), ← NNReal.coe_lt_coe, NNReal.coe_mk]
 #align seminorm.ball_finset_sup_eq_Inter Seminorm.ball_finset_sup_eq_iInter
 
 theorem closedBall_finset_sup_eq_iInter (p : ι → Seminorm 𝕜 E) (s : Finset ι) (x : E) {r : ℝ}
     (hr : 0 ≤ r) : closedBall (s.sup p) x r = ⋂ i ∈ s, closedBall (p i) x r := by
   lift r to NNReal using hr
   simp_rw [closedBall, iInter_setOf, finset_sup_apply, NNReal.coe_le_coe, Finset.sup_le_iff, ←
-    NNReal.coe_le_coe, coe_mk]
+    NNReal.coe_le_coe, NNReal.coe_mk]
 #align seminorm.closed_ball_finset_sup_eq_Inter Seminorm.closedBall_finset_sup_eq_iInter
 
 theorem ball_finset_sup (p : ι → Seminorm 𝕜 E) (s : Finset ι) (x : E) {r : ℝ} (hr : 0 < r) :
@@ -919,6 +919,31 @@ theorem closedBall_finset_sup (p : ι → Seminorm 𝕜 E) (s : Finset ι) (x :
   exact closedBall_finset_sup_eq_iInter _ _ _ hr
 #align seminorm.closed_ball_finset_sup Seminorm.closedBall_finset_sup
 
+theorem ball_smul_ball (p : Seminorm 𝕜 E) (r₁ r₂ : ℝ) :
+    Metric.ball (0 : 𝕜) r₁ • p.ball 0 r₂ ⊆ p.ball 0 (r₁ * r₂) := by
+  rw [Set.subset_def]
+  intro x hx
+  rw [Set.mem_smul] at hx
+  rcases hx with ⟨a, y, ha, hy, hx⟩
+  rw [← hx, mem_ball_zero, map_smul_eq_mul]
+  gcongr
+  · exact mem_ball_zero_iff.mp ha
+  · exact p.mem_ball_zero.mp hy
+#align seminorm.ball_smul_ball Seminorm.ball_smul_ball
+
+theorem closedBall_smul_closedBall (p : Seminorm 𝕜 E) (r₁ r₂ : ℝ) :
+    Metric.closedBall (0 : 𝕜) r₁ • p.closedBall 0 r₂ ⊆ p.closedBall 0 (r₁ * r₂) := by
+  rw [Set.subset_def]
+  intro x hx
+  rw [Set.mem_smul] at hx
+  rcases hx with ⟨a, y, ha, hy, hx⟩
+  rw [← hx, mem_closedBall_zero, map_smul_eq_mul]
+  rw [mem_closedBall_zero_iff] at ha
+  gcongr
+  · exact (norm_nonneg a).trans ha
+  · exact p.mem_closedBall_zero.mp hy
+#align seminorm.closed_ball_smul_closed_ball Seminorm.closedBall_smul_closedBall
+
 @[simp]
 theorem ball_eq_emptyset (p : Seminorm 𝕜 E) {x : E} {r : ℝ} (hr : r ≤ 0) : p.ball x r = ∅ := by
   ext
@@ -934,37 +959,6 @@ theorem closedBall_eq_emptyset (p : Seminorm 𝕜 E) {x : E} {r : ℝ} (hr : r <
   exact hr.trans_le (map_nonneg _ _)
 #align seminorm.closed_ball_eq_emptyset Seminorm.closedBall_eq_emptyset
 
-theorem closedBall_smul_ball (p : Seminorm 𝕜 E) {r₁ : ℝ} (hr₁ : r₁ ≠ 0) (r₂ : ℝ) :
-    Metric.closedBall (0 : 𝕜) r₁ • p.ball 0 r₂ ⊆ p.ball 0 (r₁ * r₂) := by
-  simp only [smul_subset_iff, mem_ball_zero, mem_closedBall_zero_iff, map_smul_eq_mul]
-  refine fun a ha b hb ↦ mul_lt_mul' ha hb (map_nonneg _ _) ?_
-  exact hr₁.lt_or_lt.resolve_left <| ((norm_nonneg a).trans ha).not_lt
-
-theorem ball_smul_closedBall (p : Seminorm 𝕜 E) (r₁ : ℝ) {r₂ : ℝ} (hr₂ : r₂ ≠ 0) :
-    Metric.ball (0 : 𝕜) r₁ • p.closedBall 0 r₂ ⊆ p.ball 0 (r₁ * r₂) := by
-  simp only [smul_subset_iff, mem_ball_zero, mem_closedBall_zero, mem_ball_zero_iff,
-    map_smul_eq_mul]
-  intro a ha b hb
-  rw [mul_comm, mul_comm r₁]
-  refine mul_lt_mul' hb ha (norm_nonneg _) (hr₂.lt_or_lt.resolve_left ?_)
-  exact ((map_nonneg p b).trans hb).not_lt
-
-theorem ball_smul_ball (p : Seminorm 𝕜 E) (r₁ r₂ : ℝ) :
-    Metric.ball (0 : 𝕜) r₁ • p.ball 0 r₂ ⊆ p.ball 0 (r₁ * r₂) := by
-  rcases eq_or_ne r₂ 0 with rfl | hr₂
-  · simp
-  · exact (smul_subset_smul_left (ball_subset_closedBall _ _ _)).trans
-      (ball_smul_closedBall _ _ hr₂)
-#align seminorm.ball_smul_ball Seminorm.ball_smul_ball
-
-theorem closedBall_smul_closedBall (p : Seminorm 𝕜 E) (r₁ r₂ : ℝ) :
-    Metric.closedBall (0 : 𝕜) r₁ • p.closedBall 0 r₂ ⊆ p.closedBall 0 (r₁ * r₂) := by
-  simp only [smul_subset_iff, mem_closedBall_zero, mem_closedBall_zero_iff, map_smul_eq_mul]
-  intro a ha b hb
-  gcongr
-  exact (norm_nonneg _).trans ha
-#align seminorm.closed_ball_smul_closed_ball Seminorm.closedBall_smul_closedBall
-
 -- Porting note: TODO: make that an `iff`
 theorem neg_mem_ball_zero (r : ℝ) (hx : x ∈ ball p 0 r) : -x ∈ ball p 0 r := by
   simpa only [mem_ball_zero, map_neg_eq_map] using hx
@@ -1175,19 +1169,13 @@ theorem continuousAt_zero_of_forall' [TopologicalSpace E] {p : Seminorm 𝕝 E}
 
 theorem continuousAt_zero' [TopologicalSpace E] [ContinuousConstSMul 𝕜 E] {p : Seminorm 𝕜 E}
     {r : ℝ} (hp : p.closedBall 0 r ∈ (𝓝 0 : Filter E)) : ContinuousAt p 0 := by
-  let r' := max 1 r
-  have hr' : 0 < r' := lt_max_of_lt_left one_pos
-  have hp' : p.closedBall 0 r' ∈ (𝓝 0 : Filter E) :=
-    mem_of_superset hp (closedBall_mono <| le_max_right _ _)
-  refine' continuousAt_zero_of_forall' _
-  intro ε hε
-  rcases exists_norm_lt 𝕜 (div_pos hε hr') with ⟨k, hk0, hkε⟩
-  have hk0' := norm_pos_iff.mp hk0
-  have := (set_smul_mem_nhds_zero_iff hk0').mpr hp'
-  refine' Filter.mem_of_superset this (smul_set_subset_iff.mpr fun x hx => _)
-  rw [mem_closedBall_zero, map_smul_eq_mul, ← div_mul_cancel ε hr'.ne.symm]
-  gcongr
-  exact p.mem_closedBall_zero.mp hx
+  refine continuousAt_zero_of_forall' fun ε hε ↦ ?_
+  obtain ⟨k, hk₀, hk⟩ : ∃ k : 𝕜, 0 < ‖k‖ ∧ ‖k‖ * r < ε := by
+    rcases le_or_lt r 0 with hr | hr
+    · use 1; simpa using hr.trans_lt hε
+    · simpa [lt_div_iff hr] using exists_norm_lt 𝕜 (div_pos hε hr)
+  rw [← set_smul_mem_nhds_zero_iff (norm_pos_iff.1 hk₀), smul_closedBall_zero hk₀] at hp
+  exact mem_of_superset hp <| p.closedBall_mono hk.le
 #align seminorm.continuous_at_zero' Seminorm.continuousAt_zero'
 
 /-- A seminorm is continuous at `0` if `p.ball 0 r ∈ 𝓝 0` for *all* `r > 0`.
@@ -1289,6 +1277,28 @@ lemma ball_mem_nhds [TopologicalSpace E] {p : Seminorm 𝕝 E} (hp : Continuous
   have this : Tendsto p (𝓝 0) (𝓝 0) := map_zero p ▸ hp.tendsto 0
   by simpa only [p.ball_zero_eq] using this (Iio_mem_nhds hr)
 
+lemma uniformSpace_eq_of_hasBasis
+    {ι} [UniformSpace E] [UniformAddGroup E] [ContinuousConstSMul 𝕜 E]
+    {p' : ι → Prop} {s : ι → Set E} (p : Seminorm 𝕜 E) (hb : (𝓝 0 : Filter E).HasBasis p' s)
+    (h₁ : ∃ r, p.closedBall 0 r ∈ 𝓝 0) (h₂ : ∀ i, p' i → ∃ r > 0, p.ball 0 r ⊆ s i) :
+    ‹UniformSpace E› = p.toAddGroupSeminorm.toSeminormedAddGroup.toUniformSpace := by
+  refine UniformAddGroup.ext ‹_› p.toAddGroupSeminorm.toSeminormedAddCommGroup.to_uniformAddGroup ?_
+  apply le_antisymm
+  · rw [← @comap_norm_nhds_zero E p.toAddGroupSeminorm.toSeminormedAddGroup, ← tendsto_iff_comap]
+    suffices Continuous p from this.tendsto' 0 _ (map_zero p)
+    rcases h₁ with ⟨r, hr⟩
+    exact p.continuous' hr
+  · rw [(@NormedAddCommGroup.nhds_zero_basis_norm_lt E
+      p.toAddGroupSeminorm.toSeminormedAddGroup).le_basis_iff hb]
+    simpa only [subset_def, mem_ball_zero] using h₂
+
+lemma uniformity_eq_of_hasBasis
+    {ι} [UniformSpace E] [UniformAddGroup E] [ContinuousConstSMul 𝕜 E]
+    {p' : ι → Prop} {s : ι → Set E} (p : Seminorm 𝕜 E) (hb : (𝓝 0 : Filter E).HasBasis p' s)
+    (h₁ : ∃ r, p.closedBall 0 r ∈ 𝓝 0) (h₂ : ∀ i, p' i → ∃ r > 0, p.ball 0 r ⊆ s i) :
+    𝓤 E = ⨅ r > 0, 𝓟 {x | p (x.1 - x.2) < r} := by
+  rw [uniformSpace_eq_of_hasBasis p hb h₁ h₂]; rfl
+
 end Continuity
 
 section ShellLemmas

We had ball_smul_ball and closedBall_smul_closedBall. Add versions with mixed ball and closedBall. Also move this lemmas below and golf the proofs.

@@ -919,31 +919,6 @@ theorem closedBall_finset_sup (p : ι → Seminorm 𝕜 E) (s : Finset ι) (x :
   exact closedBall_finset_sup_eq_iInter _ _ _ hr
 #align seminorm.closed_ball_finset_sup Seminorm.closedBall_finset_sup
 
-theorem ball_smul_ball (p : Seminorm 𝕜 E) (r₁ r₂ : ℝ) :
-    Metric.ball (0 : 𝕜) r₁ • p.ball 0 r₂ ⊆ p.ball 0 (r₁ * r₂) := by
-  rw [Set.subset_def]
-  intro x hx
-  rw [Set.mem_smul] at hx
-  rcases hx with ⟨a, y, ha, hy, hx⟩
-  rw [← hx, mem_ball_zero, map_smul_eq_mul]
-  gcongr
-  · exact mem_ball_zero_iff.mp ha
-  · exact p.mem_ball_zero.mp hy
-#align seminorm.ball_smul_ball Seminorm.ball_smul_ball
-
-theorem closedBall_smul_closedBall (p : Seminorm 𝕜 E) (r₁ r₂ : ℝ) :
-    Metric.closedBall (0 : 𝕜) r₁ • p.closedBall 0 r₂ ⊆ p.closedBall 0 (r₁ * r₂) := by
-  rw [Set.subset_def]
-  intro x hx
-  rw [Set.mem_smul] at hx
-  rcases hx with ⟨a, y, ha, hy, hx⟩
-  rw [← hx, mem_closedBall_zero, map_smul_eq_mul]
-  rw [mem_closedBall_zero_iff] at ha
-  gcongr
-  · exact (norm_nonneg a).trans ha
-  · exact p.mem_closedBall_zero.mp hy
-#align seminorm.closed_ball_smul_closed_ball Seminorm.closedBall_smul_closedBall
-
 @[simp]
 theorem ball_eq_emptyset (p : Seminorm 𝕜 E) {x : E} {r : ℝ} (hr : r ≤ 0) : p.ball x r = ∅ := by
   ext
@@ -959,6 +934,37 @@ theorem closedBall_eq_emptyset (p : Seminorm 𝕜 E) {x : E} {r : ℝ} (hr : r <
   exact hr.trans_le (map_nonneg _ _)
 #align seminorm.closed_ball_eq_emptyset Seminorm.closedBall_eq_emptyset
 
+theorem closedBall_smul_ball (p : Seminorm 𝕜 E) {r₁ : ℝ} (hr₁ : r₁ ≠ 0) (r₂ : ℝ) :
+    Metric.closedBall (0 : 𝕜) r₁ • p.ball 0 r₂ ⊆ p.ball 0 (r₁ * r₂) := by
+  simp only [smul_subset_iff, mem_ball_zero, mem_closedBall_zero_iff, map_smul_eq_mul]
+  refine fun a ha b hb ↦ mul_lt_mul' ha hb (map_nonneg _ _) ?_
+  exact hr₁.lt_or_lt.resolve_left <| ((norm_nonneg a).trans ha).not_lt
+
+theorem ball_smul_closedBall (p : Seminorm 𝕜 E) (r₁ : ℝ) {r₂ : ℝ} (hr₂ : r₂ ≠ 0) :
+    Metric.ball (0 : 𝕜) r₁ • p.closedBall 0 r₂ ⊆ p.ball 0 (r₁ * r₂) := by
+  simp only [smul_subset_iff, mem_ball_zero, mem_closedBall_zero, mem_ball_zero_iff,
+    map_smul_eq_mul]
+  intro a ha b hb
+  rw [mul_comm, mul_comm r₁]
+  refine mul_lt_mul' hb ha (norm_nonneg _) (hr₂.lt_or_lt.resolve_left ?_)
+  exact ((map_nonneg p b).trans hb).not_lt
+
+theorem ball_smul_ball (p : Seminorm 𝕜 E) (r₁ r₂ : ℝ) :
+    Metric.ball (0 : 𝕜) r₁ • p.ball 0 r₂ ⊆ p.ball 0 (r₁ * r₂) := by
+  rcases eq_or_ne r₂ 0 with rfl | hr₂
+  · simp
+  · exact (smul_subset_smul_left (ball_subset_closedBall _ _ _)).trans
+      (ball_smul_closedBall _ _ hr₂)
+#align seminorm.ball_smul_ball Seminorm.ball_smul_ball
+
+theorem closedBall_smul_closedBall (p : Seminorm 𝕜 E) (r₁ r₂ : ℝ) :
+    Metric.closedBall (0 : 𝕜) r₁ • p.closedBall 0 r₂ ⊆ p.closedBall 0 (r₁ * r₂) := by
+  simp only [smul_subset_iff, mem_closedBall_zero, mem_closedBall_zero_iff, map_smul_eq_mul]
+  intro a ha b hb
+  gcongr
+  exact (norm_nonneg _).trans ha
+#align seminorm.closed_ball_smul_closed_ball Seminorm.closedBall_smul_closedBall
+
 -- Porting note: TODO: make that an `iff`
 theorem neg_mem_ball_zero (r : ℝ) (hx : x ∈ ball p 0 r) : -x ∈ ball p 0 r := by
   simpa only [mem_ball_zero, map_neg_eq_map] using hx

@@ -1296,10 +1296,10 @@ value of `p` on the rescaling element that shows up in applications. -/
 lemma rescale_to_shell_zpow (p : Seminorm 𝕜 E) {c : 𝕜} (hc : 1 < ‖c‖) {ε : ℝ}
     (εpos : 0 < ε) {x : E} (hx : p x ≠ 0) : ∃ n : ℤ, c^n ≠ 0 ∧
     p (c^n • x) < ε ∧ (ε / ‖c‖ ≤ p (c^n • x)) ∧ (‖c^n‖⁻¹ ≤ ε⁻¹ * ‖c‖ * p x) := by
-  have xεpos : 0 < (p x)/ε := div_pos ((Ne.symm hx).le_iff_lt.1 (map_nonneg p x)) εpos
+  have xεpos : 0 < (p x)/ε := by positivity
   rcases exists_mem_Ico_zpow xεpos hc with ⟨n, hn⟩
-  have cpos : 0 < ‖c‖ := lt_trans (zero_lt_one : (0 :ℝ) < 1) hc
-  have cnpos : 0 < ‖c^(n+1)‖ := by rw [norm_zpow]; exact lt_trans xεpos hn.2
+  have cpos : 0 < ‖c‖ := by positivity
+  have cnpos : 0 < ‖c^(n+1)‖ := by rw [norm_zpow]; exact xεpos.trans hn.2
   refine ⟨-(n+1), ?_, ?_, ?_, ?_⟩
   · show c ^ (-(n + 1)) ≠ 0; exact zpow_ne_zero _ (norm_pos_iff.1 cpos)
   · show p ((c ^ (-(n + 1))) • x) < ε

@@ -167,8 +167,9 @@ instance instSMul [SMul R ℝ] [SMul R ℝ≥0] [IsScalarTower R ℝ≥0 ℝ] :
         rw [map_smul_eq_mul, mul_left_comm] }
 
 instance [SMul R ℝ] [SMul R ℝ≥0] [IsScalarTower R ℝ≥0 ℝ] [SMul R' ℝ] [SMul R' ℝ≥0]
-    [IsScalarTower R' ℝ≥0 ℝ] [SMul R R'] [IsScalarTower R R' ℝ] : IsScalarTower R R' (Seminorm 𝕜 E)
-    where smul_assoc r a p := ext fun x => smul_assoc r a (p x)
+    [IsScalarTower R' ℝ≥0 ℝ] [SMul R R'] [IsScalarTower R R' ℝ] :
+    IsScalarTower R R' (Seminorm 𝕜 E) where
+  smul_assoc r a p := ext fun x => smul_assoc r a (p x)
 
 theorem coe_smul [SMul R ℝ] [SMul R ℝ≥0] [IsScalarTower R ℝ≥0 ℝ] (r : R) (p : Seminorm 𝕜 E) :
     ⇑(r • p) = r • ⇑p :=

Search&replace MulZeroClass.mul_zero -> mul_zero, MulZeroClass.zero_mul -> zero_mul.

These were introduced by Mathport, as the full name of mul_zero is actually MulZeroClass.mul_zero (it's exported with the short name).

@@ -78,7 +78,7 @@ def Seminorm.of [SeminormedRing 𝕜] [AddCommGroup E] [Module 𝕜 E] (f : E 
     (add_le : ∀ x y : E, f (x + y) ≤ f x + f y) (smul : ∀ (a : 𝕜) (x : E), f (a • x) = ‖a‖ * f x) :
     Seminorm 𝕜 E where
   toFun := f
-  map_zero' := by rw [← zero_smul 𝕜 (0 : E), smul, norm_zero, MulZeroClass.zero_mul]
+  map_zero' := by rw [← zero_smul 𝕜 (0 : E), smul, norm_zero, zero_mul]
   add_le' := add_le
   smul' := smul
   neg' x := by rw [← neg_one_smul 𝕜, smul, norm_neg, ← smul, one_smul]
@@ -140,7 +140,7 @@ theorem ext {p q : Seminorm 𝕜 E} (h : ∀ x, (p : E → ℝ) x = q x) : p = q
 
 instance instZero : Zero (Seminorm 𝕜 E) :=
   ⟨{ AddGroupSeminorm.instZeroAddGroupSeminorm.zero with
-    smul' := fun _ _ => (MulZeroClass.mul_zero _).symm }⟩
+    smul' := fun _ _ => (mul_zero _).symm }⟩
 
 @[simp]
 theorem coe_zero : ⇑(0 : Seminorm 𝕜 E) = 0 :=
@@ -492,7 +492,7 @@ noncomputable instance instInf : Inf (Seminorm 𝕜 E) where
       smul' := by
         intro a x
         obtain rfl | ha := eq_or_ne a 0
-        · rw [norm_zero, MulZeroClass.zero_mul, zero_smul]
+        · rw [norm_zero, zero_mul, zero_smul]
           refine'
             ciInf_eq_of_forall_ge_of_forall_gt_exists_lt
               -- Porting note: the following was previously `fun i => by positivity`
@@ -992,7 +992,7 @@ theorem closedBall_iSup {p : ι → Seminorm 𝕜 E} (hp : BddAbove (range p)) (
 theorem ball_norm_mul_subset {p : Seminorm 𝕜 E} {k : 𝕜} {r : ℝ} :
     p.ball 0 (‖k‖ * r) ⊆ k • p.ball 0 r := by
   rcases eq_or_ne k 0 with (rfl | hk)
-  · rw [norm_zero, MulZeroClass.zero_mul, ball_eq_emptyset _ le_rfl]
+  · rw [norm_zero, zero_mul, ball_eq_emptyset _ le_rfl]
     exact empty_subset _
   · intro x
     rw [Set.mem_smul_set, Seminorm.mem_ball_zero]

Autoimplicits are highly controversial and also defeat the performance-improving work in #6474.

The intent of this PR is to make autoImplicit opt-in on a per-file basis, by disabling it in the lakefile and enabling it again with set_option autoImplicit true in the few files that rely on it.

That also keeps this PR small, as opposed to attempting to "fix" files to not need it any more.

I claim that many of the uses of autoImplicit in these files are accidental; situations such as:

• Assuming variables are in scope, but pasting the lemma in the wrong section
• Pasting in a lemma from a scratch file without checking to see if the variable names are consistent with the rest of the file
• Making a copy-paste error between lemmas and forgetting to add an explicit arguments.

Having set_option autoImplicit false as the default prevents these types of mistake being made in the 90% of files where autoImplicits are not used at all, and causes them to be caught by CI during review.

I think there were various points during the port where we encouraged porters to delete the universes u v lines; I think having autoparams for universe variables only would cover a lot of the cases we actually use them, while avoiding any real shortcomings.

A Zulip poll (after combining overlapping votes accordingly) was in favor of this change with 5:5:18 as the no:dontcare:yes vote ratio.

While this PR was being reviewed, a handful of files gained some more likely-accidental autoImplicits. In these places, set_option autoImplicit true has been placed locally within a section, rather than at the top of the file.

@@ -35,6 +35,8 @@ For a module over a normed ring:
 seminorm, locally convex, LCTVS
 -/
 
+set_option autoImplicit true
+
 
 open NormedField Set Filter
 

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

This has nice performance benefits.

@@ -40,11 +40,11 @@ open NormedField Set Filter
 
 open BigOperators NNReal Pointwise Topology
 
-variable {R R' 𝕜 𝕜₂ 𝕜₃ 𝕝 E E₂ E₃ F G ι : Type _}
+variable {R R' 𝕜 𝕜₂ 𝕜₃ 𝕝 E E₂ E₃ F G ι : Type*}
 
 /-- A seminorm on a module over a normed ring is a function to the reals that is positive
 semidefinite, positive homogeneous, and subadditive. -/
-structure Seminorm (𝕜 : Type _) (E : Type _) [SeminormedRing 𝕜] [AddGroup E] [SMul 𝕜 E] extends
+structure Seminorm (𝕜 : Type*) (E : Type*) [SeminormedRing 𝕜] [AddGroup E] [SMul 𝕜 E] extends
   AddGroupSeminorm E where
   /-- The seminorm of a scalar multiplication is the product of the absolute value of the scalar
   and the original seminorm. -/
@@ -56,7 +56,7 @@ attribute [nolint docBlame] Seminorm.toAddGroupSeminorm
 /-- `SeminormClass F 𝕜 E` states that `F` is a type of seminorms on the `𝕜`-module `E`.
 
 You should extend this class when you extend `Seminorm`. -/
-class SeminormClass (F : Type _) (𝕜 E : outParam <| Type _) [SeminormedRing 𝕜] [AddGroup E]
+class SeminormClass (F : Type*) (𝕜 E : outParam <| Type*) [SeminormedRing 𝕜] [AddGroup E]
   [SMul 𝕜 E] extends AddGroupSeminormClass F E ℝ where
   /-- The seminorm of a scalar multiplication is the product of the absolute value of the scalar
   and the original seminorm. -/
@@ -609,7 +609,7 @@ protected theorem coe_sSup_eq {s : Set <| Seminorm 𝕜 E} (hs : BddAbove s) :
   Seminorm.coe_sSup_eq' (Seminorm.bddAbove_iff.mp hs)
 #align seminorm.coe_Sup_eq Seminorm.coe_sSup_eq
 
-protected theorem coe_iSup_eq {ι : Type _} {p : ι → Seminorm 𝕜 E} (hp : BddAbove (range p)) :
+protected theorem coe_iSup_eq {ι : Type*} {p : ι → Seminorm 𝕜 E} (hp : BddAbove (range p)) :
     ↑(⨆ i, p i) = ⨆ i, ((p i : Seminorm 𝕜 E) : E → ℝ) := by
   rw [← sSup_range, Seminorm.coe_sSup_eq hp]
   exact iSup_range' (fun p : Seminorm 𝕜 E => (p : E → ℝ)) p
@@ -619,7 +619,7 @@ protected theorem sSup_apply {s : Set (Seminorm 𝕜 E)} (hp : BddAbove s) {x :
     (sSup s) x = ⨆ p : s, (p : E → ℝ) x := by
   rw [Seminorm.coe_sSup_eq hp, iSup_apply]
 
-protected theorem iSup_apply {ι : Type _} {p : ι → Seminorm 𝕜 E}
+protected theorem iSup_apply {ι : Type*} {p : ι → Seminorm 𝕜 E}
     (hp : BddAbove (range p)) {x : E} : (⨆ i, p i) x = ⨆ i, p i x := by
   rw [Seminorm.coe_iSup_eq hp, iSup_apply]
 
@@ -1118,7 +1118,7 @@ end Convex
 
 section RestrictScalars
 
-variable (𝕜) {𝕜' : Type _} [NormedField 𝕜] [SeminormedRing 𝕜'] [NormedAlgebra 𝕜 𝕜']
+variable (𝕜) {𝕜' : Type*} [NormedField 𝕜] [SeminormedRing 𝕜'] [NormedAlgebra 𝕜 𝕜']
   [NormOneClass 𝕜'] [AddCommGroup E] [Module 𝕜' E] [SMul 𝕜 E] [IsScalarTower 𝕜 𝕜' E]
 
 /-- Reinterpret a seminorm over a field `𝕜'` as a seminorm over a smaller field `𝕜`. This will

@@ -1357,6 +1357,28 @@ lemma bound_of_shell_sup (p : ι → Seminorm 𝕜 E) (s : Finset ι)
 
 end ShellLemmas
 
+section NontriviallyNormedField
+
+variable [NontriviallyNormedField 𝕜] [AddCommGroup E] [Module 𝕜 E]
+
+lemma bddAbove_of_absorbent {p : ι → Seminorm 𝕜 E} {s : Set E} (hs : Absorbent 𝕜 s)
+    (h : ∀ x ∈ s, BddAbove (range fun i ↦ p i x)) :
+    BddAbove (range p) := by
+  rw [Seminorm.bddAbove_range_iff]
+  intro x
+  rcases hs x with ⟨r, hr, hrx⟩
+  rcases exists_lt_norm 𝕜 r with ⟨k, hk⟩
+  have hk0 : k ≠ 0 := norm_pos_iff.mp (hr.trans hk)
+  have : k⁻¹ • x ∈ s := by
+    rw [← mem_smul_set_iff_inv_smul_mem₀ hk0]
+    exact hrx k hk.le
+  rcases h (k⁻¹ • x) this with ⟨M, hM⟩
+  refine ⟨‖k‖ * M, forall_range_iff.mpr fun i ↦ ?_⟩
+  have := (forall_range_iff.mp hM) i
+  rwa [map_smul_eq_mul, norm_inv, inv_mul_le_iff (hr.trans hk)] at this
+
+end NontriviallyNormedField
+
 end Seminorm
 
 /-! ### The norm as a seminorm -/

@@ -600,6 +600,10 @@ protected theorem bddAbove_iff {s : Set <| Seminorm 𝕜 E} :
         le_ciSup ⟨q x, forall_range_iff.mpr fun i : s => hq (mem_image_of_mem _ i.2) x⟩ ⟨p, hp⟩⟩⟩
 #align seminorm.bdd_above_iff Seminorm.bddAbove_iff
 
+protected theorem bddAbove_range_iff {p : ι → Seminorm 𝕜 E} :
+    BddAbove (range p) ↔ ∀ x, BddAbove (range fun i ↦ p i x) := by
+  rw [Seminorm.bddAbove_iff, ← range_comp, bddAbove_range_pi]; rfl
+
 protected theorem coe_sSup_eq {s : Set <| Seminorm 𝕜 E} (hs : BddAbove s) :
     ↑(sSup s) = ⨆ p : s, ((p : Seminorm 𝕜 E) : E → ℝ) :=
   Seminorm.coe_sSup_eq' (Seminorm.bddAbove_iff.mp hs)
@@ -611,6 +615,19 @@ protected theorem coe_iSup_eq {ι : Type _} {p : ι → Seminorm 𝕜 E} (hp : B
   exact iSup_range' (fun p : Seminorm 𝕜 E => (p : E → ℝ)) p
 #align seminorm.coe_supr_eq Seminorm.coe_iSup_eq
 
+protected theorem sSup_apply {s : Set (Seminorm 𝕜 E)} (hp : BddAbove s) {x : E} :
+    (sSup s) x = ⨆ p : s, (p : E → ℝ) x := by
+  rw [Seminorm.coe_sSup_eq hp, iSup_apply]
+
+protected theorem iSup_apply {ι : Type _} {p : ι → Seminorm 𝕜 E}
+    (hp : BddAbove (range p)) {x : E} : (⨆ i, p i) x = ⨆ i, p i x := by
+  rw [Seminorm.coe_iSup_eq hp, iSup_apply]
+
+protected theorem sSup_empty : sSup (∅ : Set (Seminorm 𝕜 E)) = ⊥ := by
+  ext
+  rw [Seminorm.sSup_apply bddAbove_empty, Real.ciSup_empty]
+  rfl
+
 private theorem Seminorm.isLUB_sSup (s : Set (Seminorm 𝕜 E)) (hs₁ : BddAbove s) (hs₂ : s.Nonempty) :
     IsLUB s (sSup s) := by
   refine' ⟨fun p hp x => _, fun p hp x => _⟩ <;> haveI : Nonempty ↑s := hs₂.coe_sort <;>
@@ -961,6 +978,15 @@ section NormedField
 variable [NormedField 𝕜] [AddCommGroup E] [Module 𝕜 E] (p : Seminorm 𝕜 E) {A B : Set E} {a : 𝕜}
   {r : ℝ} {x : E}
 
+theorem closedBall_iSup {p : ι → Seminorm 𝕜 E} (hp : BddAbove (range p)) (e : E) {r : ℝ}
+    (hr : 0 < r) : closedBall (⨆ i, p i) e r = ⋂ i, closedBall (p i) e r := by
+  cases isEmpty_or_nonempty ι
+  · rw [iSup_of_empty', iInter_of_empty, Seminorm.sSup_empty]
+    exact closedBall_bot _ hr
+  · ext x
+    have := Seminorm.bddAbove_range_iff.mp hp (x - e)
+    simp only [mem_closedBall, mem_iInter, Seminorm.iSup_apply hp, ciSup_le_iff this]
+
 theorem ball_norm_mul_subset {p : Seminorm 𝕜 E} {k : 𝕜} {r : ℝ} :
     p.ball 0 (‖k‖ * r) ⊆ k • p.ball 0 r := by
   rcases eq_or_ne k 0 with (rfl | hk)

• depends on: #5966

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

@@ -2,17 +2,14 @@
 Copyright (c) 2019 Jean Lo. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Jean Lo, Yaël Dillies, Moritz Doll
-
-! This file was ported from Lean 3 source module analysis.seminorm
-! leanprover-community/mathlib commit 09079525fd01b3dda35e96adaa08d2f943e1648c
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.Data.Real.Pointwise
 import Mathlib.Analysis.Convex.Function
 import Mathlib.Analysis.LocallyConvex.Basic
 import Mathlib.Analysis.Normed.Group.AddTorsor
 
+#align_import analysis.seminorm from "leanprover-community/mathlib"@"09079525fd01b3dda35e96adaa08d2f943e1648c"
+
 /-!
 # Seminorms
 

@@ -1206,16 +1206,16 @@ protected theorem uniformContinuous [UniformSpace E] [UniformAddGroup E] [Contin
 /-- A seminorm is uniformly continuous if `p.closedBall 0 r ∈ 𝓝 0` for *all* `r > 0`.
 Over a `NontriviallyNormedField` it is actually enough to check that this is true
 for *some* `r`, see `Seminorm.uniformContinuous'`. -/
-protected theorem uniform_continuous_of_forall' [UniformSpace E] [UniformAddGroup E]
+protected theorem uniformContinuous_of_forall' [UniformSpace E] [UniformAddGroup E]
     {p : Seminorm 𝕝 E} (hp : ∀ r > 0, p.closedBall 0 r ∈ (𝓝 0 : Filter E)) :
     UniformContinuous p :=
   Seminorm.uniformContinuous_of_continuousAt_zero (continuousAt_zero_of_forall' hp)
 
-protected theorem uniform_continuous' [UniformSpace E] [UniformAddGroup E] [ContinuousConstSMul 𝕜 E]
+protected theorem uniformContinuous' [UniformSpace E] [UniformAddGroup E] [ContinuousConstSMul 𝕜 E]
     {p : Seminorm 𝕜 E} {r : ℝ} (hp : p.closedBall 0 r ∈ (𝓝 0 : Filter E)) :
     UniformContinuous p :=
   Seminorm.uniformContinuous_of_continuousAt_zero (continuousAt_zero' hp)
-#align seminorm.uniform_continuous' Seminorm.uniform_continuous'
+#align seminorm.uniform_continuous' Seminorm.uniformContinuous'
 
 /-- A seminorm is continuous if `p.ball 0 r ∈ 𝓝 0` for *all* `r > 0`.
 Over a `NontriviallyNormedField` it is actually enough to check that this is true

@@ -942,6 +942,17 @@ theorem closedBall_eq_emptyset (p : Seminorm 𝕜 E) {x : E} {r : ℝ} (hr : r <
   exact hr.trans_le (map_nonneg _ _)
 #align seminorm.closed_ball_eq_emptyset Seminorm.closedBall_eq_emptyset
 
+-- Porting note: TODO: make that an `iff`
+theorem neg_mem_ball_zero (r : ℝ) (hx : x ∈ ball p 0 r) : -x ∈ ball p 0 r := by
+  simpa only [mem_ball_zero, map_neg_eq_map] using hx
+#align seminorm.symmetric_ball_zero Seminorm.neg_mem_ball_zero
+
+@[simp]
+theorem neg_ball (p : Seminorm 𝕜 E) (r : ℝ) (x : E) : -ball p x r = ball p (-x) r := by
+  ext
+  rw [Set.mem_neg, mem_ball, mem_ball, ← neg_add', sub_neg_eq_add, map_neg_eq_map]
+#align seminorm.neg_ball Seminorm.neg_ball
+
 end Module
 
 end AddCommGroup
@@ -1028,17 +1039,6 @@ protected theorem absorbent_closedBall (hpr : p x < r) : Absorbent 𝕜 (closedB
   exact p.mem_closedBall.2 ((map_sub_le_add p _ _).trans <| add_le_of_le_sub_right hy)
 #align seminorm.absorbent_closed_ball Seminorm.absorbent_closedBall
 
-theorem symmetric_ball_zero (r : ℝ) (hx : x ∈ ball p 0 r) : -x ∈ ball p 0 r :=
-  balanced_ball_zero p r (-1) (by rw [norm_neg, norm_one]) ⟨x, hx, by
-    simp only [neg_smul, one_smul]⟩ -- Porting note: was `rw` instead of `simp only`
-#align seminorm.symmetric_ball_zero Seminorm.symmetric_ball_zero
-
-@[simp]
-theorem neg_ball (p : Seminorm 𝕜 E) (r : ℝ) (x : E) : -ball p x r = ball p (-x) r := by
-  ext
-  rw [Set.mem_neg, mem_ball, mem_ball, ← neg_add', sub_neg_eq_add, map_neg_eq_map]
-#align seminorm.neg_ball Seminorm.neg_ball
-
 @[simp]
 theorem smul_ball_preimage (p : Seminorm 𝕜 E) (y : E) (r : ℝ) (a : 𝕜) (ha : a ≠ 0) :
     (· • ·) a ⁻¹' p.ball y r = p.ball (a⁻¹ • y) (r / ‖a‖) :=
@@ -1132,17 +1132,23 @@ variable [NontriviallyNormedField 𝕜] [SeminormedRing 𝕝] [AddCommGroup E] [
 
 variable [Module 𝕝 E]
 
+/-- A seminorm is continuous at `0` if `p.closedBall 0 r ∈ 𝓝 0` for *all* `r > 0`.
+Over a `NontriviallyNormedField` it is actually enough to check that this is true
+for *some* `r`, see `Seminorm.continuousAt_zero'`. -/
+theorem continuousAt_zero_of_forall' [TopologicalSpace E] {p : Seminorm 𝕝 E}
+    (hp : ∀ r > 0, p.closedBall 0 r ∈ (𝓝 0 : Filter E)) :
+    ContinuousAt p 0 := by
+  simp_rw [Seminorm.closedBall_zero_eq_preimage_closedBall] at hp
+  rwa [ContinuousAt, Metric.nhds_basis_closedBall.tendsto_right_iff, map_zero]
+
 theorem continuousAt_zero' [TopologicalSpace E] [ContinuousConstSMul 𝕜 E] {p : Seminorm 𝕜 E}
     {r : ℝ} (hp : p.closedBall 0 r ∈ (𝓝 0 : Filter E)) : ContinuousAt p 0 := by
   let r' := max 1 r
   have hr' : 0 < r' := lt_max_of_lt_left one_pos
   have hp' : p.closedBall 0 r' ∈ (𝓝 0 : Filter E) :=
     mem_of_superset hp (closedBall_mono <| le_max_right _ _)
-  refine' Metric.nhds_basis_closedBall.tendsto_right_iff.mpr _
+  refine' continuousAt_zero_of_forall' _
   intro ε hε
-  rw [map_zero]
-  suffices p.closedBall 0 ε ∈ (𝓝 0 : Filter E) by
-    rwa [Seminorm.closedBall_zero_eq_preimage_closedBall] at this
   rcases exists_norm_lt 𝕜 (div_pos hε hr') with ⟨k, hk0, hkε⟩
   have hk0' := norm_pos_iff.mp hk0
   have := (set_smul_mem_nhds_zero_iff hk0').mpr hp'
@@ -1152,6 +1158,15 @@ theorem continuousAt_zero' [TopologicalSpace E] [ContinuousConstSMul 𝕜 E] {p
   exact p.mem_closedBall_zero.mp hx
 #align seminorm.continuous_at_zero' Seminorm.continuousAt_zero'
 
+/-- A seminorm is continuous at `0` if `p.ball 0 r ∈ 𝓝 0` for *all* `r > 0`.
+Over a `NontriviallyNormedField` it is actually enough to check that this is true
+for *some* `r`, see `Seminorm.continuousAt_zero'`. -/
+theorem continuousAt_zero_of_forall [TopologicalSpace E] {p : Seminorm 𝕝 E}
+    (hp : ∀ r > 0, p.ball 0 r ∈ (𝓝 0 : Filter E)) :
+    ContinuousAt p 0 :=
+  continuousAt_zero_of_forall'
+    (fun r hr ↦ Filter.mem_of_superset (hp r hr) <| p.ball_subset_closedBall _ _)
+
 theorem continuousAt_zero [TopologicalSpace E] [ContinuousConstSMul 𝕜 E] {p : Seminorm 𝕜 E} {r : ℝ}
     (hp : p.ball 0 r ∈ (𝓝 0 : Filter E)) : ContinuousAt p 0 :=
   continuousAt_zero' (Filter.mem_of_superset hp <| p.ball_subset_closedBall _ _)
@@ -1174,35 +1189,65 @@ protected theorem continuous_of_continuousAt_zero [TopologicalSpace E] [Topologi
   exact (Seminorm.uniformContinuous_of_continuousAt_zero hp).continuous
 #align seminorm.continuous_of_continuous_at_zero Seminorm.continuous_of_continuousAt_zero
 
+/-- A seminorm is uniformly continuous if `p.ball 0 r ∈ 𝓝 0` for *all* `r > 0`.
+Over a `NontriviallyNormedField` it is actually enough to check that this is true
+for *some* `r`, see `Seminorm.uniformContinuous`. -/
+protected theorem uniformContinuous_of_forall [UniformSpace E] [UniformAddGroup E]
+    {p : Seminorm 𝕝 E} (hp : ∀ r > 0, p.ball 0 r ∈ (𝓝 0 : Filter E)) :
+    UniformContinuous p :=
+  Seminorm.uniformContinuous_of_continuousAt_zero (continuousAt_zero_of_forall hp)
+
 protected theorem uniformContinuous [UniformSpace E] [UniformAddGroup E] [ContinuousConstSMul 𝕜 E]
     {p : Seminorm 𝕜 E} {r : ℝ} (hp : p.ball 0 r ∈ (𝓝 0 : Filter E)) :
     UniformContinuous p :=
   Seminorm.uniformContinuous_of_continuousAt_zero (continuousAt_zero hp)
 #align seminorm.uniform_continuous Seminorm.uniformContinuous
 
+/-- A seminorm is uniformly continuous if `p.closedBall 0 r ∈ 𝓝 0` for *all* `r > 0`.
+Over a `NontriviallyNormedField` it is actually enough to check that this is true
+for *some* `r`, see `Seminorm.uniformContinuous'`. -/
+protected theorem uniform_continuous_of_forall' [UniformSpace E] [UniformAddGroup E]
+    {p : Seminorm 𝕝 E} (hp : ∀ r > 0, p.closedBall 0 r ∈ (𝓝 0 : Filter E)) :
+    UniformContinuous p :=
+  Seminorm.uniformContinuous_of_continuousAt_zero (continuousAt_zero_of_forall' hp)
+
 protected theorem uniform_continuous' [UniformSpace E] [UniformAddGroup E] [ContinuousConstSMul 𝕜 E]
     {p : Seminorm 𝕜 E} {r : ℝ} (hp : p.closedBall 0 r ∈ (𝓝 0 : Filter E)) :
     UniformContinuous p :=
   Seminorm.uniformContinuous_of_continuousAt_zero (continuousAt_zero' hp)
 #align seminorm.uniform_continuous' Seminorm.uniform_continuous'
 
+/-- A seminorm is continuous if `p.ball 0 r ∈ 𝓝 0` for *all* `r > 0`.
+Over a `NontriviallyNormedField` it is actually enough to check that this is true
+for *some* `r`, see `Seminorm.continuous`. -/
+protected theorem continuous_of_forall [TopologicalSpace E] [TopologicalAddGroup E]
+    {p : Seminorm 𝕝 E} (hp : ∀ r > 0, p.ball 0 r ∈ (𝓝 0 : Filter E)) :
+    Continuous p :=
+  Seminorm.continuous_of_continuousAt_zero (continuousAt_zero_of_forall hp)
+
 protected theorem continuous [TopologicalSpace E] [TopologicalAddGroup E] [ContinuousConstSMul 𝕜 E]
     {p : Seminorm 𝕜 E} {r : ℝ} (hp : p.ball 0 r ∈ (𝓝 0 : Filter E)) : Continuous p :=
   Seminorm.continuous_of_continuousAt_zero (continuousAt_zero hp)
 #align seminorm.continuous Seminorm.continuous
 
+/-- A seminorm is continuous if `p.closedBall 0 r ∈ 𝓝 0` for *all* `r > 0`.
+Over a `NontriviallyNormedField` it is actually enough to check that this is true
+for *some* `r`, see `Seminorm.continuous'`. -/
+protected theorem continuous_of_forall' [TopologicalSpace E] [TopologicalAddGroup E]
+    {p : Seminorm 𝕝 E} (hp : ∀ r > 0, p.closedBall 0 r ∈ (𝓝 0 : Filter E)) :
+    Continuous p :=
+  Seminorm.continuous_of_continuousAt_zero (continuousAt_zero_of_forall' hp)
+
 protected theorem continuous' [TopologicalSpace E] [TopologicalAddGroup E] [ContinuousConstSMul 𝕜 E]
     {p : Seminorm 𝕜 E} {r : ℝ} (hp : p.closedBall 0 r ∈ (𝓝 0 : Filter E)) :
     Continuous p :=
   Seminorm.continuous_of_continuousAt_zero (continuousAt_zero' hp)
 #align seminorm.continuous' Seminorm.continuous'
 
-theorem continuous_of_le [TopologicalSpace E] [TopologicalAddGroup E] [ContinuousConstSMul 𝕜 E]
-    {p q : Seminorm 𝕜 E} (hq : Continuous q) (hpq : p ≤ q) : Continuous p := by
-  refine'
-    Seminorm.continuous (r := 1)
-      (Filter.mem_of_superset (IsOpen.mem_nhds _ <| q.mem_ball_self zero_lt_one)
-        (ball_antitone hpq))
+theorem continuous_of_le [TopologicalSpace E] [TopologicalAddGroup E]
+    {p q : Seminorm 𝕝 E} (hq : Continuous q) (hpq : p ≤ q) : Continuous p := by
+  refine Seminorm.continuous_of_forall (fun r hr ↦ Filter.mem_of_superset
+    (IsOpen.mem_nhds ?_ <| q.mem_ball_self hr) (ball_antitone hpq))
   rw [ball_zero_eq]
   exact isOpen_lt hq continuous_const
 #align seminorm.continuous_of_le Seminorm.continuous_of_le

This removes a chance to infer an argument, but I think that's a fairly good use case for using the new named arguments, because adding (r := _) to specify a radius feels completely right.

@@ -1132,25 +1132,29 @@ variable [NontriviallyNormedField 𝕜] [SeminormedRing 𝕝] [AddCommGroup E] [
 
 variable [Module 𝕝 E]
 
-theorem continuousAt_zero' [TopologicalSpace E] [ContinuousConstSMul 𝕜 E] {p : Seminorm 𝕜 E} {r : ℝ}
-    (hr : 0 < r) (hp : p.closedBall 0 r ∈ (𝓝 0 : Filter E)) : ContinuousAt p 0 := by
+theorem continuousAt_zero' [TopologicalSpace E] [ContinuousConstSMul 𝕜 E] {p : Seminorm 𝕜 E}
+    {r : ℝ} (hp : p.closedBall 0 r ∈ (𝓝 0 : Filter E)) : ContinuousAt p 0 := by
+  let r' := max 1 r
+  have hr' : 0 < r' := lt_max_of_lt_left one_pos
+  have hp' : p.closedBall 0 r' ∈ (𝓝 0 : Filter E) :=
+    mem_of_superset hp (closedBall_mono <| le_max_right _ _)
   refine' Metric.nhds_basis_closedBall.tendsto_right_iff.mpr _
   intro ε hε
   rw [map_zero]
   suffices p.closedBall 0 ε ∈ (𝓝 0 : Filter E) by
     rwa [Seminorm.closedBall_zero_eq_preimage_closedBall] at this
-  rcases exists_norm_lt 𝕜 (div_pos hε hr) with ⟨k, hk0, hkε⟩
+  rcases exists_norm_lt 𝕜 (div_pos hε hr') with ⟨k, hk0, hkε⟩
   have hk0' := norm_pos_iff.mp hk0
-  have := (set_smul_mem_nhds_zero_iff hk0').mpr hp
+  have := (set_smul_mem_nhds_zero_iff hk0').mpr hp'
   refine' Filter.mem_of_superset this (smul_set_subset_iff.mpr fun x hx => _)
-  rw [mem_closedBall_zero, map_smul_eq_mul, ← div_mul_cancel ε hr.ne.symm]
+  rw [mem_closedBall_zero, map_smul_eq_mul, ← div_mul_cancel ε hr'.ne.symm]
   gcongr
   exact p.mem_closedBall_zero.mp hx
 #align seminorm.continuous_at_zero' Seminorm.continuousAt_zero'
 
 theorem continuousAt_zero [TopologicalSpace E] [ContinuousConstSMul 𝕜 E] {p : Seminorm 𝕜 E} {r : ℝ}
-    (hr : 0 < r) (hp : p.ball 0 r ∈ (𝓝 0 : Filter E)) : ContinuousAt p 0 :=
-  continuousAt_zero' hr (Filter.mem_of_superset hp <| p.ball_subset_closedBall _ _)
+    (hp : p.ball 0 r ∈ (𝓝 0 : Filter E)) : ContinuousAt p 0 :=
+  continuousAt_zero' (Filter.mem_of_superset hp <| p.ball_subset_closedBall _ _)
 #align seminorm.continuous_at_zero Seminorm.continuousAt_zero
 
 protected theorem uniformContinuous_of_continuousAt_zero [UniformSpace E] [UniformAddGroup E]
@@ -1171,32 +1175,32 @@ protected theorem continuous_of_continuousAt_zero [TopologicalSpace E] [Topologi
 #align seminorm.continuous_of_continuous_at_zero Seminorm.continuous_of_continuousAt_zero
 
 protected theorem uniformContinuous [UniformSpace E] [UniformAddGroup E] [ContinuousConstSMul 𝕜 E]
-    {p : Seminorm 𝕜 E} {r : ℝ} (hr : 0 < r) (hp : p.ball 0 r ∈ (𝓝 0 : Filter E)) :
+    {p : Seminorm 𝕜 E} {r : ℝ} (hp : p.ball 0 r ∈ (𝓝 0 : Filter E)) :
     UniformContinuous p :=
-  Seminorm.uniformContinuous_of_continuousAt_zero (continuousAt_zero hr hp)
+  Seminorm.uniformContinuous_of_continuousAt_zero (continuousAt_zero hp)
 #align seminorm.uniform_continuous Seminorm.uniformContinuous
 
 protected theorem uniform_continuous' [UniformSpace E] [UniformAddGroup E] [ContinuousConstSMul 𝕜 E]
-    {p : Seminorm 𝕜 E} {r : ℝ} (hr : 0 < r) (hp : p.closedBall 0 r ∈ (𝓝 0 : Filter E)) :
+    {p : Seminorm 𝕜 E} {r : ℝ} (hp : p.closedBall 0 r ∈ (𝓝 0 : Filter E)) :
     UniformContinuous p :=
-  Seminorm.uniformContinuous_of_continuousAt_zero (continuousAt_zero' hr hp)
+  Seminorm.uniformContinuous_of_continuousAt_zero (continuousAt_zero' hp)
 #align seminorm.uniform_continuous' Seminorm.uniform_continuous'
 
 protected theorem continuous [TopologicalSpace E] [TopologicalAddGroup E] [ContinuousConstSMul 𝕜 E]
-    {p : Seminorm 𝕜 E} {r : ℝ} (hr : 0 < r) (hp : p.ball 0 r ∈ (𝓝 0 : Filter E)) : Continuous p :=
-  Seminorm.continuous_of_continuousAt_zero (continuousAt_zero hr hp)
+    {p : Seminorm 𝕜 E} {r : ℝ} (hp : p.ball 0 r ∈ (𝓝 0 : Filter E)) : Continuous p :=
+  Seminorm.continuous_of_continuousAt_zero (continuousAt_zero hp)
 #align seminorm.continuous Seminorm.continuous
 
 protected theorem continuous' [TopologicalSpace E] [TopologicalAddGroup E] [ContinuousConstSMul 𝕜 E]
-    {p : Seminorm 𝕜 E} {r : ℝ} (hr : 0 < r) (hp : p.closedBall 0 r ∈ (𝓝 0 : Filter E)) :
+    {p : Seminorm 𝕜 E} {r : ℝ} (hp : p.closedBall 0 r ∈ (𝓝 0 : Filter E)) :
     Continuous p :=
-  Seminorm.continuous_of_continuousAt_zero (continuousAt_zero' hr hp)
+  Seminorm.continuous_of_continuousAt_zero (continuousAt_zero' hp)
 #align seminorm.continuous' Seminorm.continuous'
 
 theorem continuous_of_le [TopologicalSpace E] [TopologicalAddGroup E] [ContinuousConstSMul 𝕜 E]
     {p q : Seminorm 𝕜 E} (hq : Continuous q) (hpq : p ≤ q) : Continuous p := by
   refine'
-    Seminorm.continuous one_pos
+    Seminorm.continuous (r := 1)
       (Filter.mem_of_superset (IsOpen.mem_nhds _ <| q.mem_ball_self zero_lt_one)
         (ball_antitone hpq))
   rw [ball_zero_eq]

This is the second half of the changes originally in #5699, removing all occurrences of ; after a space and implementing a linter rule to enforce it.

In most cases this 2-character substring has a space after it, so the following command was run first:

find . -type f -name "*.lean" -exec sed -i -E 's/ ; /; /g' {} \;

The remaining cases were few enough in number that they were done manually.

@@ -483,7 +483,7 @@ variable [NormedField 𝕜] [AddCommGroup E] [Module 𝕜 E] {p q : Seminorm 
 theorem bddBelow_range_add : BddBelow (range fun u => p u + q (x - u)) :=
   ⟨0, by
     rintro _ ⟨x, rfl⟩
-    dsimp ; positivity⟩
+    dsimp; positivity⟩
 #align seminorm.bdd_below_range_add Seminorm.bddBelow_range_add
 
 noncomputable instance instInf : Inf (Seminorm 𝕜 E) where

This PR is the result of running

find . -type f -name "*.lean" -exec sed -i -E 's/^( +)\. /\1· /' {} \;
find . -type f -name "*.lean" -exec sed -i -E 'N;s/^( +·)\n +(.*)$/\1 \2/;P;D' {} \;

which firstly replaces . focusing dots with · and secondly removes isolated instances of such dots, unifying them with the following line. A new rule is placed in the style linter to verify this.

@@ -408,8 +408,8 @@ theorem exists_apply_eq_finset_sup (p : ι → Seminorm 𝕜 E) {s : Finset ι}
 theorem zero_or_exists_apply_eq_finset_sup (p : ι → Seminorm 𝕜 E) (s : Finset ι) (x : E) :
     s.sup p x = 0 ∨ ∃ i ∈ s, s.sup p x = p i x := by
   rcases Finset.eq_empty_or_nonempty s with (rfl|hs)
-  . left; rfl
-  . right; exact exists_apply_eq_finset_sup p hs x
+  · left; rfl
+  · right; exact exists_apply_eq_finset_sup p hs x
 
 theorem finset_sup_smul (p : ι → Seminorm 𝕜 E) (s : Finset ι) (C : ℝ≥0) :
     s.sup (C • p) = C • s.sup p := by
@@ -1226,17 +1226,17 @@ lemma rescale_to_shell_zpow (p : Seminorm 𝕜 E) {c : 𝕜} (hc : 1 < ‖c‖)
   have cpos : 0 < ‖c‖ := lt_trans (zero_lt_one : (0 :ℝ) < 1) hc
   have cnpos : 0 < ‖c^(n+1)‖ := by rw [norm_zpow]; exact lt_trans xεpos hn.2
   refine ⟨-(n+1), ?_, ?_, ?_, ?_⟩
-  . show c ^ (-(n + 1)) ≠ 0; exact zpow_ne_zero _ (norm_pos_iff.1 cpos)
-  . show p ((c ^ (-(n + 1))) • x) < ε
+  · show c ^ (-(n + 1)) ≠ 0; exact zpow_ne_zero _ (norm_pos_iff.1 cpos)
+  · show p ((c ^ (-(n + 1))) • x) < ε
     rw [map_smul_eq_mul, zpow_neg, norm_inv, ← div_eq_inv_mul, div_lt_iff cnpos, mul_comm,
         norm_zpow]
     exact (div_lt_iff εpos).1 (hn.2)
-  . show ε / ‖c‖ ≤ p (c ^ (-(n + 1)) • x)
+  · show ε / ‖c‖ ≤ p (c ^ (-(n + 1)) • x)
     rw [zpow_neg, div_le_iff cpos, map_smul_eq_mul, norm_inv, norm_zpow, zpow_add₀ (ne_of_gt cpos),
         zpow_one, mul_inv_rev, mul_comm, ← mul_assoc, ← mul_assoc, mul_inv_cancel (ne_of_gt cpos),
         one_mul, ← div_eq_inv_mul, le_div_iff (zpow_pos_of_pos cpos _), mul_comm]
     exact (le_div_iff εpos).1 hn.1
-  . show ‖(c ^ (-(n + 1)))‖⁻¹ ≤ ε⁻¹ * ‖c‖ * p x
+  · show ‖(c ^ (-(n + 1)))‖⁻¹ ≤ ε⁻¹ * ‖c‖ * p x
     have : ε⁻¹ * ‖c‖ * p x = ε⁻¹ * p x * ‖c‖ := by ring
     rw [zpow_neg, norm_inv, inv_inv, norm_zpow, zpow_add₀ (ne_of_gt cpos), zpow_one, this,
         ← div_eq_inv_mul]

This shows that, if the topology of E is defined by some family of seminorms p, then a seminorm q is continuous iff ∃ s : Finset ι, ∃ C : ℝ≥0, C ≠ 0 ∧ q ≤ C • s.sup p. Via Seminorm.continuous_iff_continuous_comp this gives the converse of Seminorm.continuous_from_bounded and hence a characterization of continuous linear maps between such spaces.

To do that, we restate all of the "bound of shell" lemmas in terms of seminorms, which needs changing some imports, but I've checked the current state of the port and this should not cause too much trouble since most of the touched files are already ported so we can changes the imports in mathlib4 too.

The WithSeminorms file needs a naming/dot notation refactor at some point, because the naming scheme is neither predictable nor convenient to use, but this PR is already large enough.

@@ -39,7 +39,7 @@ seminorm, locally convex, LCTVS
 -/
 
 
-open NormedField Set
+open NormedField Set Filter
 
 open BigOperators NNReal Pointwise Topology
 
@@ -399,12 +399,31 @@ theorem finset_sup_apply (p : ι → Seminorm 𝕜 E) (s : Finset ι) (x : E) :
       NNReal.coe_max, coe_mk, ih]
 #align seminorm.finset_sup_apply Seminorm.finset_sup_apply
 
+theorem exists_apply_eq_finset_sup (p : ι → Seminorm 𝕜 E) {s : Finset ι} (hs : s.Nonempty) (x : E) :
+    ∃ i ∈ s, s.sup p x = p i x := by
+  rcases Finset.exists_mem_eq_sup s hs (fun i ↦ (⟨p i x, map_nonneg _ _⟩ : ℝ≥0)) with ⟨i, hi, hix⟩
+  rw [finset_sup_apply]
+  exact ⟨i, hi, congr_arg _ hix⟩
+
+theorem zero_or_exists_apply_eq_finset_sup (p : ι → Seminorm 𝕜 E) (s : Finset ι) (x : E) :
+    s.sup p x = 0 ∨ ∃ i ∈ s, s.sup p x = p i x := by
+  rcases Finset.eq_empty_or_nonempty s with (rfl|hs)
+  . left; rfl
+  . right; exact exists_apply_eq_finset_sup p hs x
+
+theorem finset_sup_smul (p : ι → Seminorm 𝕜 E) (s : Finset ι) (C : ℝ≥0) :
+    s.sup (C • p) = C • s.sup p := by
+  ext x
+  rw [smul_apply, finset_sup_apply, finset_sup_apply]
+  symm
+  exact congr_arg ((↑) : ℝ≥0 → ℝ) (NNReal.mul_finset_sup C s (fun i ↦ ⟨p i x, map_nonneg _ _⟩))
+
 theorem finset_sup_le_sum (p : ι → Seminorm 𝕜 E) (s : Finset ι) : s.sup p ≤ ∑ i in s, p i := by
   classical
-    refine' Finset.sup_le_iff.mpr _
-    intro i hi
-    rw [Finset.sum_eq_sum_diff_singleton_add hi, le_add_iff_nonneg_left]
-    exact bot_le
+  refine' Finset.sup_le_iff.mpr _
+  intro i hi
+  rw [Finset.sum_eq_sum_diff_singleton_add hi, le_add_iff_nonneg_left]
+  exact bot_le
 #align seminorm.finset_sup_le_sum Seminorm.finset_sup_le_sum
 
 theorem finset_sup_apply_le {p : ι → Seminorm 𝕜 E} {s : Finset ι} {x : E} {a : ℝ} (ha : 0 ≤ a)
@@ -414,6 +433,10 @@ theorem finset_sup_apply_le {p : ι → Seminorm 𝕜 E} {s : Finset ι} {x : E}
   exact Finset.sup_le h
 #align seminorm.finset_sup_apply_le Seminorm.finset_sup_apply_le
 
+theorem le_finset_sup_apply {p : ι → Seminorm 𝕜 E} {s : Finset ι} {x : E} {i : ι}
+    (hi : i ∈ s) : p i x ≤ s.sup p x :=
+  (Finset.le_sup hi : p i ≤ s.sup p) x
+
 theorem finset_sup_apply_lt {p : ι → Seminorm 𝕜 E} {s : Finset ι} {x : E} {a : ℝ} (ha : 0 < a)
     (h : ∀ i, i ∈ s → p i x < a) : s.sup p x < a := by
   lift a to ℝ≥0 using ha.le
@@ -1013,7 +1036,7 @@ theorem symmetric_ball_zero (r : ℝ) (hx : x ∈ ball p 0 r) : -x ∈ ball p 0
 @[simp]
 theorem neg_ball (p : Seminorm 𝕜 E) (r : ℝ) (x : E) : -ball p x r = ball p (-x) r := by
   ext
-  rw [mem_neg, mem_ball, mem_ball, ← neg_add', sub_neg_eq_add, map_neg_eq_map]
+  rw [Set.mem_neg, mem_ball, mem_ball, ← neg_add', sub_neg_eq_add, map_neg_eq_map]
 #align seminorm.neg_ball Seminorm.neg_ball
 
 @[simp]
@@ -1180,8 +1203,88 @@ theorem continuous_of_le [TopologicalSpace E] [TopologicalAddGroup E] [Continuou
   exact isOpen_lt hq continuous_const
 #align seminorm.continuous_of_le Seminorm.continuous_of_le
 
+lemma ball_mem_nhds [TopologicalSpace E] {p : Seminorm 𝕝 E} (hp : Continuous p) {r : ℝ}
+    (hr : 0 < r) : p.ball 0 r ∈ (𝓝 0 : Filter E) :=
+  have this : Tendsto p (𝓝 0) (𝓝 0) := map_zero p ▸ hp.tendsto 0
+  by simpa only [p.ball_zero_eq] using this (Iio_mem_nhds hr)
+
 end Continuity
 
+section ShellLemmas
+
+variable [NormedField 𝕜] [AddCommGroup E] [Module 𝕜 E]
+
+/-- Let `p` be a seminorm on a vector space over a `NormedField`.
+If there is a scalar `c` with `‖c‖>1`, then any `x` such that `p x ≠ 0` can be
+moved by scalar multiplication to any `p`-shell of width `‖c‖`. Also recap information on the
+value of `p` on the rescaling element that shows up in applications. -/
+lemma rescale_to_shell_zpow (p : Seminorm 𝕜 E) {c : 𝕜} (hc : 1 < ‖c‖) {ε : ℝ}
+    (εpos : 0 < ε) {x : E} (hx : p x ≠ 0) : ∃ n : ℤ, c^n ≠ 0 ∧
+    p (c^n • x) < ε ∧ (ε / ‖c‖ ≤ p (c^n • x)) ∧ (‖c^n‖⁻¹ ≤ ε⁻¹ * ‖c‖ * p x) := by
+  have xεpos : 0 < (p x)/ε := div_pos ((Ne.symm hx).le_iff_lt.1 (map_nonneg p x)) εpos
+  rcases exists_mem_Ico_zpow xεpos hc with ⟨n, hn⟩
+  have cpos : 0 < ‖c‖ := lt_trans (zero_lt_one : (0 :ℝ) < 1) hc
+  have cnpos : 0 < ‖c^(n+1)‖ := by rw [norm_zpow]; exact lt_trans xεpos hn.2
+  refine ⟨-(n+1), ?_, ?_, ?_, ?_⟩
+  . show c ^ (-(n + 1)) ≠ 0; exact zpow_ne_zero _ (norm_pos_iff.1 cpos)
+  . show p ((c ^ (-(n + 1))) • x) < ε
+    rw [map_smul_eq_mul, zpow_neg, norm_inv, ← div_eq_inv_mul, div_lt_iff cnpos, mul_comm,
+        norm_zpow]
+    exact (div_lt_iff εpos).1 (hn.2)
+  . show ε / ‖c‖ ≤ p (c ^ (-(n + 1)) • x)
+    rw [zpow_neg, div_le_iff cpos, map_smul_eq_mul, norm_inv, norm_zpow, zpow_add₀ (ne_of_gt cpos),
+        zpow_one, mul_inv_rev, mul_comm, ← mul_assoc, ← mul_assoc, mul_inv_cancel (ne_of_gt cpos),
+        one_mul, ← div_eq_inv_mul, le_div_iff (zpow_pos_of_pos cpos _), mul_comm]
+    exact (le_div_iff εpos).1 hn.1
+  . show ‖(c ^ (-(n + 1)))‖⁻¹ ≤ ε⁻¹ * ‖c‖ * p x
+    have : ε⁻¹ * ‖c‖ * p x = ε⁻¹ * p x * ‖c‖ := by ring
+    rw [zpow_neg, norm_inv, inv_inv, norm_zpow, zpow_add₀ (ne_of_gt cpos), zpow_one, this,
+        ← div_eq_inv_mul]
+    exact mul_le_mul_of_nonneg_right hn.1 (norm_nonneg _)
+
+/-- Let `p` be a seminorm on a vector space over a `NormedField`.
+If there is a scalar `c` with `‖c‖>1`, then any `x` such that `p x ≠ 0` can be
+moved by scalar multiplication to any `p`-shell of width `‖c‖`. Also recap information on the
+value of `p` on the rescaling element that shows up in applications. -/
+lemma rescale_to_shell (p : Seminorm 𝕜 E) {c : 𝕜} (hc : 1 < ‖c‖) {ε : ℝ} (εpos : 0 < ε) {x : E}
+    (hx : p x ≠ 0) :
+    ∃d:𝕜, d ≠ 0 ∧ p (d • x) < ε ∧ (ε/‖c‖ ≤ p (d • x)) ∧ (‖d‖⁻¹ ≤ ε⁻¹ * ‖c‖ * p x) :=
+let ⟨_, hn⟩ := p.rescale_to_shell_zpow hc εpos hx; ⟨_, hn⟩
+
+/-- Let `p` and `q` be two seminorms on a vector space over a `nontrivially_normed_field`.
+If we have `q x ≤ C * p x` on some shell of the form `{x | ε/‖c‖ ≤ p x < ε}` (where `ε > 0`
+and `‖c‖ > 1`), then we also have `q x ≤ C * p x` for all `x` such that `p x ≠ 0`. -/
+lemma bound_of_shell
+    (p q : Seminorm 𝕜 E) {ε C : ℝ} (ε_pos : 0 < ε) {c : 𝕜} (hc : 1 < ‖c‖)
+    (hf : ∀ x, ε / ‖c‖ ≤ p x → p x < ε → q x ≤ C * p x) {x : E} (hx : p x ≠ 0) :
+    q x ≤ C * p x := by
+  rcases p.rescale_to_shell hc ε_pos hx with ⟨δ, hδ, δxle, leδx, -⟩
+  simpa only [map_smul_eq_mul, mul_left_comm C, mul_le_mul_left (norm_pos_iff.2 hδ)]
+    using hf (δ • x) leδx δxle
+
+/-- A version of `Seminorm.bound_of_shell` expressed using pointwise scalar multiplication of
+seminorms. -/
+lemma bound_of_shell_smul
+    (p q : Seminorm 𝕜 E) {ε : ℝ} {C : ℝ≥0} (ε_pos : 0 < ε) {c : 𝕜} (hc : 1 < ‖c‖)
+    (hf : ∀ x, ε / ‖c‖ ≤ p x → p x < ε → q x ≤ (C • p) x) {x : E} (hx : p x ≠ 0) :
+    q x ≤ (C • p) x :=
+  Seminorm.bound_of_shell p q ε_pos hc hf hx
+
+lemma bound_of_shell_sup (p : ι → Seminorm 𝕜 E) (s : Finset ι)
+    (q : Seminorm 𝕜 E) {ε : ℝ} {C : ℝ≥0} (ε_pos : 0 < ε) {c : 𝕜} (hc : 1 < ‖c‖)
+    (hf : ∀ x, (∀ i ∈ s, p i x < ε) → ∀ j ∈ s, ε / ‖c‖ ≤ p j x → q x ≤ (C • p j) x)
+    {x : E} (hx : ∃ j, j ∈ s ∧ p j x ≠ 0) :
+    q x ≤ (C • s.sup p) x := by
+  rcases hx with ⟨j, hj, hjx⟩
+  have : (s.sup p) x ≠ 0 :=
+    ne_of_gt ((hjx.symm.lt_of_le $ map_nonneg _ _).trans_le (le_finset_sup_apply hj))
+  refine (s.sup p).bound_of_shell_smul q ε_pos hc (fun y hle hlt ↦ ?_) this
+  rcases exists_apply_eq_finset_sup p ⟨j, hj⟩ y with ⟨i, hi, hiy⟩
+  rw [smul_apply, hiy]
+  exact hf y (fun k hk ↦ (le_finset_sup_apply hk).trans_lt hlt) i hi (hiy ▸ hle)
+
+end ShellLemmas
+
 end Seminorm
 
 /-! ### The norm as a seminorm -/
@@ -1227,6 +1330,39 @@ theorem balanced_ball_zero : Balanced 𝕜 (Metric.ball (0 : E) r) := by
   exact (normSeminorm _ _).balanced_ball_zero r
 #align balanced_ball_zero balanced_ball_zero
 
+/-- If there is a scalar `c` with `‖c‖>1`, then any element with nonzero norm can be
+moved by scalar multiplication to any shell of width `‖c‖`. Also recap information on the norm of
+the rescaling element that shows up in applications. -/
+lemma rescale_to_shell_semi_normed_zpow {c : 𝕜} (hc : 1 < ‖c‖) {ε : ℝ} (εpos : 0 < ε) {x : E}
+    (hx : ‖x‖ ≠ 0) :
+    ∃ n : ℤ, c^n ≠ 0 ∧ ‖c^n • x‖ < ε ∧ (ε / ‖c‖ ≤ ‖c^n • x‖) ∧ (‖c^n‖⁻¹ ≤ ε⁻¹ * ‖c‖ * ‖x‖) :=
+  (normSeminorm 𝕜 E).rescale_to_shell_zpow hc εpos hx
+#align rescale_to_shell_semi_normed_zpow rescale_to_shell_semi_normed_zpow
+
+/-- If there is a scalar `c` with `‖c‖>1`, then any element with nonzero norm can be
+moved by scalar multiplication to any shell of width `‖c‖`. Also recap information on the norm of
+the rescaling element that shows up in applications. -/
+lemma rescale_to_shell_semi_normed {c : 𝕜} (hc : 1 < ‖c‖) {ε : ℝ} (εpos : 0 < ε)
+    {x : E} (hx : ‖x‖ ≠ 0) :
+    ∃d:𝕜, d ≠ 0 ∧ ‖d • x‖ < ε ∧ (ε/‖c‖ ≤ ‖d • x‖) ∧ (‖d‖⁻¹ ≤ ε⁻¹ * ‖c‖ * ‖x‖) :=
+  (normSeminorm 𝕜 E).rescale_to_shell hc εpos hx
+#align rescale_to_shell_semi_normed rescale_to_shell_semi_normed
+
+lemma rescale_to_shell_zpow [NormedAddCommGroup F] [NormedSpace 𝕜 F] {c : 𝕜} (hc : 1 < ‖c‖)
+    {ε : ℝ} (εpos : 0 < ε) {x : F} (hx : x ≠ 0) :
+    ∃ n : ℤ, c^n ≠ 0 ∧ ‖c^n • x‖ < ε ∧ (ε / ‖c‖ ≤ ‖c^n • x‖) ∧ (‖c^n‖⁻¹ ≤ ε⁻¹ * ‖c‖ * ‖x‖) :=
+  rescale_to_shell_semi_normed_zpow hc εpos (norm_ne_zero_iff.mpr hx)
+#align rescale_to_shell_zpow rescale_to_shell_zpow
+
+/-- If there is a scalar `c` with `‖c‖>1`, then any element can be moved by scalar multiplication to
+any shell of width `‖c‖`. Also recap information on the norm of the rescaling element that shows
+up in applications. -/
+lemma rescale_to_shell [NormedAddCommGroup F] [NormedSpace 𝕜 F] {c : 𝕜} (hc : 1 < ‖c‖)
+    {ε : ℝ} (εpos : 0 < ε) {x : F} (hx : x ≠ 0) :
+    ∃d:𝕜, d ≠ 0 ∧ ‖d • x‖ < ε ∧ (ε/‖c‖ ≤ ‖d • x‖) ∧ (‖d‖⁻¹ ≤ ε⁻¹ * ‖c‖ * ‖x‖) :=
+  rescale_to_shell_semi_normed hc εpos (norm_ne_zero_iff.mpr hx)
+#align rescale_to_shell rescale_to_shell
+
 end normSeminorm
 
 assert_not_exists balancedCore

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

@@ -1203,7 +1203,7 @@ theorem coe_normSeminorm : ⇑(normSeminorm 𝕜 E) = norm :=
 
 @[simp]
 theorem ball_normSeminorm : (normSeminorm 𝕜 E).ball = Metric.ball := by
-  ext (x r y)
+  ext x r y
   simp only [Seminorm.mem_ball, Metric.mem_ball, coe_normSeminorm, dist_eq_norm]
 #align ball_norm_seminorm ball_normSeminorm
 

100 sample uses of the new tactic gcongr, added in #3965.

@@ -886,8 +886,9 @@ theorem ball_smul_ball (p : Seminorm 𝕜 E) (r₁ r₂ : ℝ) :
   rw [Set.mem_smul] at hx
   rcases hx with ⟨a, y, ha, hy, hx⟩
   rw [← hx, mem_ball_zero, map_smul_eq_mul]
-  exact
-    mul_lt_mul'' (mem_ball_zero_iff.mp ha) (p.mem_ball_zero.mp hy) (norm_nonneg a) (map_nonneg p y)
+  gcongr
+  · exact mem_ball_zero_iff.mp ha
+  · exact p.mem_ball_zero.mp hy
 #align seminorm.ball_smul_ball Seminorm.ball_smul_ball
 
 theorem closedBall_smul_closedBall (p : Seminorm 𝕜 E) (r₁ r₂ : ℝ) :
@@ -898,7 +899,9 @@ theorem closedBall_smul_closedBall (p : Seminorm 𝕜 E) (r₁ r₂ : ℝ) :
   rcases hx with ⟨a, y, ha, hy, hx⟩
   rw [← hx, mem_closedBall_zero, map_smul_eq_mul]
   rw [mem_closedBall_zero_iff] at ha
-  exact mul_le_mul ha (p.mem_closedBall_zero.mp hy) (map_nonneg _ y) ((norm_nonneg a).trans ha)
+  gcongr
+  · exact (norm_nonneg a).trans ha
+  · exact p.mem_closedBall_zero.mp hy
 #align seminorm.closed_ball_smul_closed_ball Seminorm.closedBall_smul_closedBall
 
 @[simp]
@@ -953,7 +956,7 @@ theorem smul_closedBall_subset {p : Seminorm 𝕜 E} {k : 𝕜} {r : ℝ} :
   rintro x ⟨y, hy, h⟩
   rw [Seminorm.mem_closedBall_zero, ← h, map_smul_eq_mul]
   rw [Seminorm.mem_closedBall_zero] at hy
-  exact mul_le_mul_of_nonneg_left hy (norm_nonneg _)
+  gcongr
 #align seminorm.smul_closed_ball_subset Seminorm.smul_closedBall_subset
 
 theorem smul_closedBall_zero {p : Seminorm 𝕜 E} {k : 𝕜} {r : ℝ} (hk : 0 < ‖k‖) :
@@ -973,7 +976,7 @@ theorem ball_zero_absorbs_ball_zero (p : Seminorm 𝕜 E) {r₁ r₂ : ℝ} (hr
   refine' ⟨r, hr₀, fun a ha x hx => _⟩
   rw [smul_ball_zero (norm_pos_iff.1 <| hr₀.trans_le ha), p.mem_ball_zero]
   rw [p.mem_ball_zero] at hx
-  exact hx.trans (hr.trans_le <| mul_le_mul_of_nonneg_right ha hr₁.le)
+  exact hx.trans (hr.trans_le <| by gcongr)
 #align seminorm.ball_zero_absorbs_ball_zero Seminorm.ball_zero_absorbs_ball_zero
 
 /-- Seminorm-balls at the origin are absorbent. -/
@@ -1118,7 +1121,8 @@ theorem continuousAt_zero' [TopologicalSpace E] [ContinuousConstSMul 𝕜 E] {p
   have := (set_smul_mem_nhds_zero_iff hk0').mpr hp
   refine' Filter.mem_of_superset this (smul_set_subset_iff.mpr fun x hx => _)
   rw [mem_closedBall_zero, map_smul_eq_mul, ← div_mul_cancel ε hr.ne.symm]
-  exact mul_le_mul hkε.le (p.mem_closedBall_zero.mp hx) (map_nonneg _ _) (div_nonneg hε.le hr.le)
+  gcongr
+  exact p.mem_closedBall_zero.mp hx
 #align seminorm.continuous_at_zero' Seminorm.continuousAt_zero'
 
 theorem continuousAt_zero [TopologicalSpace E] [ContinuousConstSMul 𝕜 E] {p : Seminorm 𝕜 E} {r : ℝ}

Positivity extensions for NonnegHomClass (this includes AbsoluteValue and Seminorm), IsAbsoluteValue, norm, the NNReal-to-Real coercion, factorials, square roots, distance (in a metric space), and diameter.

I tried to do these "properly" using Qq but I hit various errors I couldn't fix -- see https://leanprover.zulipchat.com/#narrow/stream/287929-mathlib4/topic/Qq.20doesn't.20know.20that.20two.20things.20have.20the.20same.20type for some examples.

cc @dwrensha

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

@@ -460,8 +460,7 @@ variable [NormedField 𝕜] [AddCommGroup E] [Module 𝕜 E] {p q : Seminorm 
 theorem bddBelow_range_add : BddBelow (range fun u => p u + q (x - u)) :=
   ⟨0, by
     rintro _ ⟨x, rfl⟩
-    -- Porting note: the following was previously `dsimp; positivity`
-    exact add_nonneg (map_nonneg _ _) (map_nonneg _ _)⟩
+    dsimp ; positivity⟩
 #align seminorm.bdd_below_range_add Seminorm.bddBelow_range_add
 
 noncomputable instance instInf : Inf (Seminorm 𝕜 E) where

@@ -1226,5 +1226,4 @@ theorem balanced_ball_zero : Balanced 𝕜 (Metric.ball (0 : E) r) := by
 
 end normSeminorm
 
--- Porting note: no guards here
--- assert_not_exists balancedCore
+assert_not_exists balancedCore

@@ -74,7 +74,7 @@ export SeminormClass (map_smul_eq_mul)
 section Of
 
 /-- Alternative constructor for a `Seminorm` on an `AddCommGroup E` that is a module over a
-`semi_norm_ring 𝕜`. -/
+`SeminormedRing 𝕜`. -/
 def Seminorm.of [SeminormedRing 𝕜] [AddCommGroup E] [Module 𝕜 E] (f : E → ℝ)
     (add_le : ∀ x y : E, f (x + y) ≤ f x + f y) (smul : ∀ (a : 𝕜) (x : E), f (a • x) = ‖a‖ * f x) :
     Seminorm 𝕜 E where
@@ -87,12 +87,12 @@ def Seminorm.of [SeminormedRing 𝕜] [AddCommGroup E] [Module 𝕜 E] (f : E 
 
 /-- Alternative constructor for a `Seminorm` over a normed field `𝕜` that only assumes `f 0 = 0`
 and an inequality for the scalar multiplication. -/
-def Seminorm.ofSMulLe [NormedField 𝕜] [AddCommGroup E] [Module 𝕜 E] (f : E → ℝ) (map_zero : f 0 = 0)
+def Seminorm.ofSMulLE [NormedField 𝕜] [AddCommGroup E] [Module 𝕜 E] (f : E → ℝ) (map_zero : f 0 = 0)
     (add_le : ∀ x y, f (x + y) ≤ f x + f y) (smul_le : ∀ (r : 𝕜) (x), f (r • x) ≤ ‖r‖ * f x) :
     Seminorm 𝕜 E :=
   Seminorm.of f add_le fun r x => by
     refine' le_antisymm (smul_le r x) _
-    by_cases r = 0
+    by_cases h : r = 0
     · simp [h, map_zero]
     rw [← mul_le_mul_left (inv_pos.mpr (norm_pos_iff.mpr h))]
     rw [inv_mul_cancel_left₀ (norm_ne_zero_iff.mpr h)]
@@ -100,7 +100,7 @@ def Seminorm.ofSMulLe [NormedField 𝕜] [AddCommGroup E] [Module 𝕜 E] (f : E
     rw [norm_inv] at smul_le
     convert smul_le
     simp [h]
-#align seminorm.of_smul_le Seminorm.ofSMulLe
+#align seminorm.of_smul_le Seminorm.ofSMulLE
 
 end Of
 
@@ -159,8 +159,8 @@ instance : Inhabited (Seminorm 𝕜 E) :=
 variable (p : Seminorm 𝕜 E) (c : 𝕜) (x y : E) (r : ℝ)
 
 /-- Any action on `ℝ` which factors through `ℝ≥0` applies to a seminorm. -/
-instance instSMul [SMul R ℝ] [SMul R ℝ≥0] [IsScalarTower R ℝ≥0 ℝ] : SMul R (Seminorm 𝕜 E)
-    where smul r p :=
+instance instSMul [SMul R ℝ] [SMul R ℝ≥0] [IsScalarTower R ℝ≥0 ℝ] : SMul R (Seminorm 𝕜 E) where
+  smul r p :=
     { r • p.toAddGroupSeminorm with
       toFun := fun x => r • p x
       smul' := fun _ _ => by
@@ -182,8 +182,8 @@ theorem smul_apply [SMul R ℝ] [SMul R ℝ≥0] [IsScalarTower R ℝ≥0 ℝ] (
   rfl
 #align seminorm.smul_apply Seminorm.smul_apply
 
-instance instAdd : Add (Seminorm 𝕜 E)
-    where add p q :=
+instance instAdd : Add (Seminorm 𝕜 E) where
+  add p q :=
     { p.toAddGroupSeminorm + q.toAddGroupSeminorm with
       toFun := fun x => p x + q x
       smul' := fun a x => by simp only [map_smul_eq_mul, map_smul_eq_mul, mul_add] }
@@ -1052,7 +1052,7 @@ variable [Module ℝ E] [IsScalarTower ℝ 𝕜 E] (p : Seminorm 𝕜 E) (x : E)
 
 /-- Seminorm-balls are convex. -/
 theorem convex_ball : Convex ℝ (ball p x r) := by
-  convert(p.convexOn.translate_left (-x)).convex_lt r
+  convert (p.convexOn.translate_left (-x)).convex_lt r
   ext y
   rw [preimage_univ, sep_univ, p.mem_ball, sub_eq_add_neg]
   rfl

Now that leanprover/lean4#2210 has been merged, this PR:

• removes all the set_option synthInstance.etaExperiment true commands (and some etaExperiment% term elaborators)
• removes many but not quite all set_option maxHeartbeats commands
• makes various other changes required to cope with leanprover/lean4#2210.

Co-authored-by: Scott Morrison <scott.morrison@anu.edu.au> Co-authored-by: Scott Morrison <scott.morrison@gmail.com> Co-authored-by: Matthew Ballard <matt@mrb.email>

@@ -383,10 +383,6 @@ theorem bot_eq_zero : (⊥ : Seminorm 𝕜 E) = 0 :=
   rfl
 #align seminorm.bot_eq_zero Seminorm.bot_eq_zero
 
--- Porting note:
--- finding the instance `SMul ℝ≥0 (Seminorm 𝕜 E)` is slow,
--- and needs an increase to `synthInstance.maxHeartbeats`.
-set_option synthInstance.maxHeartbeats 30000 in
 theorem smul_le_smul {p q : Seminorm 𝕜 E} {a b : ℝ≥0} (hpq : p ≤ q) (hab : a ≤ b) :
     a • p ≤ b • q := by
   simp_rw [le_def]

As discussed on Zulip

Renames

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

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

@@ -477,14 +477,14 @@ noncomputable instance instInf : Inf (Seminorm 𝕜 E) where
         obtain rfl | ha := eq_or_ne a 0
         · rw [norm_zero, MulZeroClass.zero_mul, zero_smul]
           refine'
-            cinfᵢ_eq_of_forall_ge_of_forall_gt_exists_lt
+            ciInf_eq_of_forall_ge_of_forall_gt_exists_lt
               -- Porting note: the following was previously `fun i => by positivity`
               (fun i => add_nonneg (map_nonneg _ _) (map_nonneg _ _))
               fun x hx => ⟨0, by rwa [map_zero, sub_zero, map_zero, add_zero]⟩
-        simp_rw [Real.mul_infᵢ_of_nonneg (norm_nonneg a), mul_add, ← map_smul_eq_mul p, ←
+        simp_rw [Real.mul_iInf_of_nonneg (norm_nonneg a), mul_add, ← map_smul_eq_mul p, ←
           map_smul_eq_mul q, smul_sub]
         refine'
-          Function.Surjective.infᵢ_congr ((a⁻¹ • ·) : E → E)
+          Function.Surjective.iInf_congr ((a⁻¹ • ·) : E → E)
             (fun u => ⟨a • u, inv_smul_smul₀ ha u⟩) fun u => _
         rw [smul_inv_smul₀ ha] }
 
@@ -497,19 +497,19 @@ noncomputable instance instLattice : Lattice (Seminorm 𝕜 E) :=
   { Seminorm.instSemilatticeSup with
     inf := (· ⊓ ·)
     inf_le_left := fun p q x =>
-      cinfᵢ_le_of_le bddBelow_range_add x <| by
+      ciInf_le_of_le bddBelow_range_add x <| by
         simp only [sub_self, map_zero, add_zero]; rfl
     inf_le_right := fun p q x =>
-      cinfᵢ_le_of_le bddBelow_range_add 0 <| by
+      ciInf_le_of_le bddBelow_range_add 0 <| by
         simp only [sub_self, map_zero, zero_add, sub_zero]; rfl
     le_inf := fun a b c hab hac x =>
-      le_cinfᵢ fun u => (le_map_add_map_sub a _ _).trans <| add_le_add (hab _) (hac _) }
+      le_ciInf fun u => (le_map_add_map_sub a _ _).trans <| add_le_add (hab _) (hac _) }
 
 theorem smul_inf [SMul R ℝ] [SMul R ℝ≥0] [IsScalarTower R ℝ≥0 ℝ] (r : R) (p q : Seminorm 𝕜 E) :
     r • (p ⊓ q) = r • p ⊓ r • q := by
   ext
   simp_rw [smul_apply, inf_apply, smul_apply, ← smul_one_smul ℝ≥0 r (_ : ℝ), NNReal.smul_def,
-    smul_eq_mul, Real.mul_infᵢ_of_nonneg (NNReal.coe_nonneg _), mul_add]
+    smul_eq_mul, Real.mul_iInf_of_nonneg (NNReal.coe_nonneg _), mul_add]
 #align seminorm.smul_inf Seminorm.smul_inf
 
 section Classical
@@ -533,87 +533,87 @@ need for an additional case disjunction. As discussed on Zulip, this doesn't wor
 give a function which does *not* satisfy the seminorm axioms (typically sub-additivity).
 -/
 noncomputable instance instSupSet : SupSet (Seminorm 𝕜 E) where
-  supₛ s :=
+  sSup s :=
     if h : BddAbove ((↑) '' s : Set (E → ℝ)) then
       { toFun := ⨆ p : s, ((p : Seminorm 𝕜 E) : E → ℝ)
         map_zero' := by
-          rw [supᵢ_apply, ← @Real.csupᵢ_const_zero s]
+          rw [iSup_apply, ← @Real.ciSup_const_zero s]
           congr!
           rename_i _ _ _ i
           exact map_zero i.1
         add_le' := fun x y => by
           rcases h with ⟨q, hq⟩
           obtain rfl | h := s.eq_empty_or_nonempty
-          · simp [Real.csupᵢ_empty]
+          · simp [Real.ciSup_empty]
           haveI : Nonempty ↑s := h.coe_sort
-          simp only [supᵢ_apply]
-          refine' csupᵢ_le fun i =>
+          simp only [iSup_apply]
+          refine' ciSup_le fun i =>
             ((i : Seminorm 𝕜 E).add_le' x y).trans <| add_le_add
               -- Porting note: `f` is provided to force `Subtype.val` to appear.
               -- A type ascription on `_` would have also worked, but would have been more verbose.
-              (le_csupᵢ (f := fun i => (Subtype.val i : Seminorm 𝕜 E).toFun x) ⟨q x, _⟩ i)
-              (le_csupᵢ (f := fun i => (Subtype.val i : Seminorm 𝕜 E).toFun y) ⟨q y, _⟩ i)
+              (le_ciSup (f := fun i => (Subtype.val i : Seminorm 𝕜 E).toFun x) ⟨q x, _⟩ i)
+              (le_ciSup (f := fun i => (Subtype.val i : Seminorm 𝕜 E).toFun y) ⟨q y, _⟩ i)
           <;> rw [mem_upperBounds, forall_range_iff]
           <;> exact fun j => hq (mem_image_of_mem _ j.2) _
         neg' := fun x => by
-          simp only [supᵢ_apply]
+          simp only [iSup_apply]
           congr! 2
           rename_i _ _ _ i
           exact i.1.neg' _
         smul' := fun a x => by
-          simp only [supᵢ_apply]
+          simp only [iSup_apply]
           rw [← smul_eq_mul,
-            Real.smul_supᵢ_of_nonneg (norm_nonneg a) fun i : s => (i : Seminorm 𝕜 E) x]
+            Real.smul_iSup_of_nonneg (norm_nonneg a) fun i : s => (i : Seminorm 𝕜 E) x]
           congr!
           rename_i _ _ _ i
           exact i.1.smul' a x }
     else ⊥
 
-protected theorem coe_supₛ_eq' {s : Set <| Seminorm 𝕜 E}
-    (hs : BddAbove ((↑) '' s : Set (E → ℝ))) : ↑(supₛ s) = ⨆ p : s, ((p : Seminorm 𝕜 E) : E → ℝ) :=
+protected theorem coe_sSup_eq' {s : Set <| Seminorm 𝕜 E}
+    (hs : BddAbove ((↑) '' s : Set (E → ℝ))) : ↑(sSup s) = ⨆ p : s, ((p : Seminorm 𝕜 E) : E → ℝ) :=
   congr_arg _ (dif_pos hs)
-#align seminorm.coe_Sup_eq' Seminorm.coe_supₛ_eq'
+#align seminorm.coe_Sup_eq' Seminorm.coe_sSup_eq'
 
 protected theorem bddAbove_iff {s : Set <| Seminorm 𝕜 E} :
     BddAbove s ↔ BddAbove ((↑) '' s : Set (E → ℝ)) :=
   ⟨fun ⟨q, hq⟩ => ⟨q, ball_image_of_ball fun p hp => hq hp⟩, fun H =>
-    ⟨supₛ s, fun p hp x => by
+    ⟨sSup s, fun p hp x => by
       dsimp
-      rw [Seminorm.coe_supₛ_eq' H, supᵢ_apply]
+      rw [Seminorm.coe_sSup_eq' H, iSup_apply]
       rcases H with ⟨q, hq⟩
       exact
-        le_csupᵢ ⟨q x, forall_range_iff.mpr fun i : s => hq (mem_image_of_mem _ i.2) x⟩ ⟨p, hp⟩⟩⟩
+        le_ciSup ⟨q x, forall_range_iff.mpr fun i : s => hq (mem_image_of_mem _ i.2) x⟩ ⟨p, hp⟩⟩⟩
 #align seminorm.bdd_above_iff Seminorm.bddAbove_iff
 
-protected theorem coe_supₛ_eq {s : Set <| Seminorm 𝕜 E} (hs : BddAbove s) :
-    ↑(supₛ s) = ⨆ p : s, ((p : Seminorm 𝕜 E) : E → ℝ) :=
-  Seminorm.coe_supₛ_eq' (Seminorm.bddAbove_iff.mp hs)
-#align seminorm.coe_Sup_eq Seminorm.coe_supₛ_eq
+protected theorem coe_sSup_eq {s : Set <| Seminorm 𝕜 E} (hs : BddAbove s) :
+    ↑(sSup s) = ⨆ p : s, ((p : Seminorm 𝕜 E) : E → ℝ) :=
+  Seminorm.coe_sSup_eq' (Seminorm.bddAbove_iff.mp hs)
+#align seminorm.coe_Sup_eq Seminorm.coe_sSup_eq
 
-protected theorem coe_supᵢ_eq {ι : Type _} {p : ι → Seminorm 𝕜 E} (hp : BddAbove (range p)) :
+protected theorem coe_iSup_eq {ι : Type _} {p : ι → Seminorm 𝕜 E} (hp : BddAbove (range p)) :
     ↑(⨆ i, p i) = ⨆ i, ((p i : Seminorm 𝕜 E) : E → ℝ) := by
-  rw [← supₛ_range, Seminorm.coe_supₛ_eq hp]
-  exact supᵢ_range' (fun p : Seminorm 𝕜 E => (p : E → ℝ)) p
-#align seminorm.coe_supr_eq Seminorm.coe_supᵢ_eq
+  rw [← sSup_range, Seminorm.coe_sSup_eq hp]
+  exact iSup_range' (fun p : Seminorm 𝕜 E => (p : E → ℝ)) p
+#align seminorm.coe_supr_eq Seminorm.coe_iSup_eq
 
-private theorem Seminorm.isLUB_supₛ (s : Set (Seminorm 𝕜 E)) (hs₁ : BddAbove s) (hs₂ : s.Nonempty) :
-    IsLUB s (supₛ s) := by
+private theorem Seminorm.isLUB_sSup (s : Set (Seminorm 𝕜 E)) (hs₁ : BddAbove s) (hs₂ : s.Nonempty) :
+    IsLUB s (sSup s) := by
   refine' ⟨fun p hp x => _, fun p hp x => _⟩ <;> haveI : Nonempty ↑s := hs₂.coe_sort <;>
-    dsimp <;> rw [Seminorm.coe_supₛ_eq hs₁, supᵢ_apply]
+    dsimp <;> rw [Seminorm.coe_sSup_eq hs₁, iSup_apply]
   · rcases hs₁ with ⟨q, hq⟩
-    exact le_csupᵢ ⟨q x, forall_range_iff.mpr fun i : s => hq i.2 x⟩ ⟨p, hp⟩
-  · exact csupᵢ_le fun q => hp q.2 x
+    exact le_ciSup ⟨q x, forall_range_iff.mpr fun i : s => hq i.2 x⟩ ⟨p, hp⟩
+  · exact ciSup_le fun q => hp q.2 x
 
 /-- `Seminorm 𝕜 E` is a conditionally complete lattice.
 
-Note that, while `inf`, `sup` and `supₛ` have good definitional properties (corresponding to
-the instances given here for `Inf`, `Sup` and `SupSet` respectively), `infₛ s` is just
+Note that, while `inf`, `sup` and `sSup` have good definitional properties (corresponding to
+the instances given here for `Inf`, `Sup` and `SupSet` respectively), `sInf s` is just
 defined as the supremum of the lower bounds of `s`, which is not really useful in practice. If you
-need to use `infₛ` on seminorms, then you should probably provide a more workable definition first,
+need to use `sInf` on seminorms, then you should probably provide a more workable definition first,
 but this is unlikely to happen so we keep the "bad" definition for now. -/
 noncomputable instance instConditionallyCompleteLattice :
     ConditionallyCompleteLattice (Seminorm 𝕜 E) :=
-  conditionallyCompleteLatticeOfLatticeOfSupₛ (Seminorm 𝕜 E) Seminorm.isLUB_supₛ
+  conditionallyCompleteLatticeOfLatticeOfsSup (Seminorm 𝕜 E) Seminorm.isLUB_sSup
 
 end Classical
 
@@ -682,9 +682,9 @@ theorem ball_subset_closedBall (x r) : ball p x r ⊆ closedBall p x r := fun _
   (mem_closedBall _).mpr ((mem_ball _).mp h).le
 #align seminorm.ball_subset_closed_ball Seminorm.ball_subset_closedBall
 
-theorem closedBall_eq_binterᵢ_ball (x r) : closedBall p x r = ⋂ ρ > r, ball p x ρ := by
-  ext y; simp_rw [mem_closedBall, mem_interᵢ₂, mem_ball, ← forall_lt_iff_le']
-#align seminorm.closed_ball_eq_bInter_ball Seminorm.closedBall_eq_binterᵢ_ball
+theorem closedBall_eq_biInter_ball (x r) : closedBall p x r = ⋂ ρ > r, ball p x ρ := by
+  ext y; simp_rw [mem_closedBall, mem_iInter₂, mem_ball, ← forall_lt_iff_le']
+#align seminorm.closed_ball_eq_bInter_ball Seminorm.closedBall_eq_biInter_ball
 
 @[simp]
 theorem ball_zero' (x : E) (hr : 0 < r) : ball (0 : Seminorm 𝕜 E) x r = Set.univ := by
@@ -858,30 +858,30 @@ theorem balanced_closedBall_zero (r : ℝ) : Balanced 𝕜 (closedBall p 0 r) :=
     _ ≤ r := by rwa [mem_closedBall_zero] at hy
 #align seminorm.balanced_closed_ball_zero Seminorm.balanced_closedBall_zero
 
-theorem ball_finset_sup_eq_interᵢ (p : ι → Seminorm 𝕜 E) (s : Finset ι) (x : E) {r : ℝ}
+theorem ball_finset_sup_eq_iInter (p : ι → Seminorm 𝕜 E) (s : Finset ι) (x : E) {r : ℝ}
     (hr : 0 < r) : ball (s.sup p) x r = ⋂ i ∈ s, ball (p i) x r := by
   lift r to NNReal using hr.le
-  simp_rw [ball, interᵢ_setOf, finset_sup_apply, NNReal.coe_lt_coe,
+  simp_rw [ball, iInter_setOf, finset_sup_apply, NNReal.coe_lt_coe,
     Finset.sup_lt_iff (show ⊥ < r from hr), ← NNReal.coe_lt_coe, coe_mk]
-#align seminorm.ball_finset_sup_eq_Inter Seminorm.ball_finset_sup_eq_interᵢ
+#align seminorm.ball_finset_sup_eq_Inter Seminorm.ball_finset_sup_eq_iInter
 
-theorem closedBall_finset_sup_eq_interᵢ (p : ι → Seminorm 𝕜 E) (s : Finset ι) (x : E) {r : ℝ}
+theorem closedBall_finset_sup_eq_iInter (p : ι → Seminorm 𝕜 E) (s : Finset ι) (x : E) {r : ℝ}
     (hr : 0 ≤ r) : closedBall (s.sup p) x r = ⋂ i ∈ s, closedBall (p i) x r := by
   lift r to NNReal using hr
-  simp_rw [closedBall, interᵢ_setOf, finset_sup_apply, NNReal.coe_le_coe, Finset.sup_le_iff, ←
+  simp_rw [closedBall, iInter_setOf, finset_sup_apply, NNReal.coe_le_coe, Finset.sup_le_iff, ←
     NNReal.coe_le_coe, coe_mk]
-#align seminorm.closed_ball_finset_sup_eq_Inter Seminorm.closedBall_finset_sup_eq_interᵢ
+#align seminorm.closed_ball_finset_sup_eq_Inter Seminorm.closedBall_finset_sup_eq_iInter
 
 theorem ball_finset_sup (p : ι → Seminorm 𝕜 E) (s : Finset ι) (x : E) {r : ℝ} (hr : 0 < r) :
     ball (s.sup p) x r = s.inf fun i => ball (p i) x r := by
-  rw [Finset.inf_eq_infᵢ]
-  exact ball_finset_sup_eq_interᵢ _ _ _ hr
+  rw [Finset.inf_eq_iInf]
+  exact ball_finset_sup_eq_iInter _ _ _ hr
 #align seminorm.ball_finset_sup Seminorm.ball_finset_sup
 
 theorem closedBall_finset_sup (p : ι → Seminorm 𝕜 E) (s : Finset ι) (x : E) {r : ℝ} (hr : 0 ≤ r) :
     closedBall (s.sup p) x r = s.inf fun i => closedBall (p i) x r := by
-  rw [Finset.inf_eq_infᵢ]
-  exact closedBall_finset_sup_eq_interᵢ _ _ _ hr
+  rw [Finset.inf_eq_iInf]
+  exact closedBall_finset_sup_eq_iInter _ _ _ hr
 #align seminorm.closed_ball_finset_sup Seminorm.closedBall_finset_sup
 
 theorem ball_smul_ball (p : Seminorm 𝕜 E) (r₁ r₂ : ℝ) :
@@ -1064,8 +1064,8 @@ theorem convex_ball : Convex ℝ (ball p x r) := by
 
 /-- Closed seminorm-balls are convex. -/
 theorem convex_closedBall : Convex ℝ (closedBall p x r) := by
-  rw [closedBall_eq_binterᵢ_ball]
-  exact convex_interᵢ₂ fun _ _ => convex_ball _ _ _
+  rw [closedBall_eq_biInter_ball]
+  exact convex_iInter₂ fun _ _ => convex_ball _ _ _
 #align seminorm.convex_closed_ball Seminorm.convex_closedBall
 
 end Module

We make sure that the canonical path from NonAssocSemiring to Ring passes through Semiring, as this is a path which is followed all the time in linear algebra where the defining semilinear map σ : R →+* S depends on the NonAssocSemiring structure of R and S while the module definition depends on the Semiring structure.

Tt is not currently possible to adjust priorities by hand (see lean4#2115). Instead, the last declared instance is used, so we make sure that Semiring is declared after NonAssocRing, so that Semiring -> NonAssocSemiring is tried before NonAssocRing -> NonAssocSemiring.

@@ -306,14 +306,6 @@ noncomputable instance smul_nnreal_real : SMul ℝ≥0 ℝ := inferInstance
 
 variable [SMul R ℝ] [SMul R ℝ≥0] [IsScalarTower R ℝ≥0 ℝ]
 
--- Porting note:
--- This is failing, because we are not finding the right instances!
--- example (f : E →ₛₗ[σ₁₂] E₂) : E → E₂ := f
--- However `etaExperiment` saves the day:
--- set_option synthInstance.etaExperiment true in
--- example (f : E →ₛₗ[σ₁₂] E₂) : E → E₂ := f
-
-set_option synthInstance.etaExperiment true in
 /-- Composition of a seminorm with a linear map is a seminorm. -/
 def comp (p : Seminorm 𝕜₂ E₂) (f : E →ₛₗ[σ₁₂] E₂) : Seminorm 𝕜 E :=
   { p.toAddGroupSeminorm.comp f.toAddMonoidHom with
@@ -323,24 +315,20 @@ def comp (p : Seminorm 𝕜₂ E₂) (f : E →ₛₗ[σ₁₂] E₂) : Seminorm
     smul' := fun _ _ => by simp only [map_smulₛₗ]; rw [map_smul_eq_mul, RingHomIsometric.is_iso] }
 #align seminorm.comp Seminorm.comp
 
-set_option synthInstance.etaExperiment true in
 theorem coe_comp (p : Seminorm 𝕜₂ E₂) (f : E →ₛₗ[σ₁₂] E₂) : ⇑(p.comp f) = p ∘ f :=
   rfl
 #align seminorm.coe_comp Seminorm.coe_comp
 
-set_option synthInstance.etaExperiment true in
 @[simp]
 theorem comp_apply (p : Seminorm 𝕜₂ E₂) (f : E →ₛₗ[σ₁₂] E₂) (x : E) : (p.comp f) x = p (f x) :=
   rfl
 #align seminorm.comp_apply Seminorm.comp_apply
 
-set_option synthInstance.etaExperiment true in
 @[simp]
 theorem comp_id (p : Seminorm 𝕜 E) : p.comp LinearMap.id = p :=
   ext fun _ => rfl
 #align seminorm.comp_id Seminorm.comp_id
 
-set_option synthInstance.etaExperiment true in
 @[simp]
 theorem comp_zero (p : Seminorm 𝕜₂ E₂) : p.comp (0 : E →ₛₗ[σ₁₂] E₂) = 0 :=
   ext fun _ => map_zero p
@@ -351,7 +339,6 @@ theorem zero_comp (f : E →ₛₗ[σ₁₂] E₂) : (0 : Seminorm 𝕜₂ E₂)
   ext fun _ => rfl
 #align seminorm.zero_comp Seminorm.zero_comp
 
-set_option synthInstance.etaExperiment true in
 theorem comp_comp [RingHomCompTriple σ₁₂ σ₂₃ σ₁₃] (p : Seminorm 𝕜₃ E₃) (g : E₂ →ₛₗ[σ₂₃] E₃)
     (f : E →ₛₗ[σ₁₂] E₂) : p.comp (g.comp f) = (p.comp g).comp f :=
   ext fun _ => rfl
@@ -362,7 +349,6 @@ theorem add_comp (p q : Seminorm 𝕜₂ E₂) (f : E →ₛₗ[σ₁₂] E₂)
   ext fun _ => rfl
 #align seminorm.add_comp Seminorm.add_comp
 
-set_option synthInstance.etaExperiment true in
 theorem comp_add_le (p : Seminorm 𝕜₂ E₂) (f g : E →ₛₗ[σ₁₂] E₂) :
     p.comp (f + g) ≤ p.comp f + p.comp g := fun _ => map_add_le_add p _ _
 #align seminorm.comp_add_le Seminorm.comp_add_le
@@ -456,21 +442,13 @@ variable {σ₁₂ : 𝕜 →+* 𝕜₂} [RingHomIsometric σ₁₂]
 
 variable [AddCommGroup E] [AddCommGroup E₂] [Module 𝕜 E] [Module 𝕜₂ E₂]
 
--- Porting note: unhappily, turning on `synthInstance.etaExperiment` isn't enough here:
--- we need to elaborate a fragment of the type using `eta_experiment%`,
--- but then can't use it for the proof!
--- Porting note:
--- finding the instance `SMul ℝ≥0 (Seminorm 𝕜 E)` is slow,
--- and needs an increase to `synthInstance.maxHeartbeats`.
-set_option synthInstance.maxHeartbeats 30000 in
 theorem comp_smul (p : Seminorm 𝕜₂ E₂) (f : E →ₛₗ[σ₁₂] E₂) (c : 𝕜₂) :
-    p.comp (eta_experiment% c • f) = ‖c‖₊ • p.comp f :=
+    p.comp (c • f) = ‖c‖₊ • p.comp f :=
   ext fun _ => by
     rw [comp_apply, smul_apply, LinearMap.smul_apply, map_smul_eq_mul, NNReal.smul_def, coe_nnnorm,
       smul_eq_mul, comp_apply]
 #align seminorm.comp_smul Seminorm.comp_smul
 
-set_option synthInstance.etaExperiment true in
 theorem comp_smul_apply (p : Seminorm 𝕜₂ E₂) (f : E →ₛₗ[σ₁₂] E₂) (c : 𝕜₂) (x : E) :
     p.comp (c • f) x = ‖c‖ * p (f x) :=
   map_smul_eq_mul p _ _
@@ -817,14 +795,12 @@ variable [SeminormedRing 𝕜₂] [AddCommGroup E₂] [Module 𝕜₂ E₂]
 
 variable {σ₁₂ : 𝕜 →+* 𝕜₂} [RingHomIsometric σ₁₂]
 
-set_option synthInstance.etaExperiment true in
 theorem ball_comp (p : Seminorm 𝕜₂ E₂) (f : E →ₛₗ[σ₁₂] E₂) (x : E) (r : ℝ) :
     (p.comp f).ball x r = f ⁻¹' p.ball (f x) r := by
   ext
   simp_rw [ball, mem_preimage, comp_apply, Set.mem_setOf_eq, map_sub]
 #align seminorm.ball_comp Seminorm.ball_comp
 
-set_option synthInstance.etaExperiment true in
 theorem closedBall_comp (p : Seminorm 𝕜₂ E₂) (f : E →ₛₗ[σ₁₂] E₂) (x : E) (r : ℝ) :
     (p.comp f).closedBall x r = f ⁻¹' p.closedBall (f x) r := by
   ext

Some names were extremely long.

Example: Seminorm.instConditionallyCompleteLatticeSeminormToSeminormedRingToSeminormedCommRingToNormedCommRingToAddGroupToSMulToZeroToNegZeroClassToSubNegZeroMonoidToSubtractionMonoidToDivisionAddCommMonoidToSMulZeroClassToZeroToCommMonoidWithZeroToCommGroupWithZeroToSemifieldToFieldToSMulWithZeroToMonoidWithZeroToSemiringToDivisionSemiringToMulActionWithZeroToAddCommMonoid

@@ -87,7 +87,7 @@ def Seminorm.of [SeminormedRing 𝕜] [AddCommGroup E] [Module 𝕜 E] (f : E 
 
 /-- Alternative constructor for a `Seminorm` over a normed field `𝕜` that only assumes `f 0 = 0`
 and an inequality for the scalar multiplication. -/
-def Seminorm.ofSmulLe [NormedField 𝕜] [AddCommGroup E] [Module 𝕜 E] (f : E → ℝ) (map_zero : f 0 = 0)
+def Seminorm.ofSMulLe [NormedField 𝕜] [AddCommGroup E] [Module 𝕜 E] (f : E → ℝ) (map_zero : f 0 = 0)
     (add_le : ∀ x y, f (x + y) ≤ f x + f y) (smul_le : ∀ (r : 𝕜) (x), f (r • x) ≤ ‖r‖ * f x) :
     Seminorm 𝕜 E :=
   Seminorm.of f add_le fun r x => by
@@ -100,7 +100,7 @@ def Seminorm.ofSmulLe [NormedField 𝕜] [AddCommGroup E] [Module 𝕜 E] (f : E
     rw [norm_inv] at smul_le
     convert smul_le
     simp [h]
-#align seminorm.of_smul_le Seminorm.ofSmulLe
+#align seminorm.of_smul_le Seminorm.ofSMulLe
 
 end Of
 
@@ -118,7 +118,7 @@ section SMul
 
 variable [SMul 𝕜 E]
 
-instance seminormClass : SeminormClass (Seminorm 𝕜 E) 𝕜 E where
+instance instSeminormClass : SeminormClass (Seminorm 𝕜 E) 𝕜 E where
   coe f := f.toFun
   coe_injective' f g h := by
     rcases f with ⟨⟨_⟩⟩
@@ -128,10 +128,10 @@ instance seminormClass : SeminormClass (Seminorm 𝕜 E) 𝕜 E where
   map_add_le_add f := f.add_le'
   map_neg_eq_map f := f.neg'
   map_smul_eq_mul f := f.smul'
-#align seminorm.seminorm_class Seminorm.seminormClass
+#align seminorm.seminorm_class Seminorm.instSeminormClass
 
 /-- Helper instance for when there's too many metavariables to apply `FunLike.hasCoeToFun`. -/
-instance : CoeFun (Seminorm 𝕜 E) fun _ => E → ℝ :=
+instance instCoeFun : CoeFun (Seminorm 𝕜 E) fun _ => E → ℝ :=
   FunLike.hasCoeToFun
 
 @[ext]
@@ -139,7 +139,7 @@ theorem ext {p q : Seminorm 𝕜 E} (h : ∀ x, (p : E → ℝ) x = q x) : p = q
   FunLike.ext p q h
 #align seminorm.ext Seminorm.ext
 
-instance : Zero (Seminorm 𝕜 E) :=
+instance instZero : Zero (Seminorm 𝕜 E) :=
   ⟨{ AddGroupSeminorm.instZeroAddGroupSeminorm.zero with
     smul' := fun _ _ => (MulZeroClass.mul_zero _).symm }⟩
 
@@ -159,7 +159,7 @@ instance : Inhabited (Seminorm 𝕜 E) :=
 variable (p : Seminorm 𝕜 E) (c : 𝕜) (x y : E) (r : ℝ)
 
 /-- Any action on `ℝ` which factors through `ℝ≥0` applies to a seminorm. -/
-instance smul [SMul R ℝ] [SMul R ℝ≥0] [IsScalarTower R ℝ≥0 ℝ] : SMul R (Seminorm 𝕜 E)
+instance instSMul [SMul R ℝ] [SMul R ℝ≥0] [IsScalarTower R ℝ≥0 ℝ] : SMul R (Seminorm 𝕜 E)
     where smul r p :=
     { r • p.toAddGroupSeminorm with
       toFun := fun x => r • p x
@@ -182,7 +182,7 @@ theorem smul_apply [SMul R ℝ] [SMul R ℝ≥0] [IsScalarTower R ℝ≥0 ℝ] (
   rfl
 #align seminorm.smul_apply Seminorm.smul_apply
 
-instance : Add (Seminorm 𝕜 E)
+instance instAdd : Add (Seminorm 𝕜 E)
     where add p q :=
     { p.toAddGroupSeminorm + q.toAddGroupSeminorm with
       toFun := fun x => p x + q x
@@ -197,13 +197,13 @@ theorem add_apply (p q : Seminorm 𝕜 E) (x : E) : (p + q) x = p x + q x :=
   rfl
 #align seminorm.add_apply Seminorm.add_apply
 
-instance : AddMonoid (Seminorm 𝕜 E) :=
+instance instAddMonoid : AddMonoid (Seminorm 𝕜 E) :=
   FunLike.coe_injective.addMonoid _ rfl coe_add fun _ _ => by rfl
 
-instance : OrderedCancelAddCommMonoid (Seminorm 𝕜 E) :=
+instance instOrderedCancelAddCommMonoid : OrderedCancelAddCommMonoid (Seminorm 𝕜 E) :=
   FunLike.coe_injective.orderedCancelAddCommMonoid _ rfl coe_add fun _ _ => rfl
 
-instance [Monoid R] [MulAction R ℝ] [SMul R ℝ≥0] [IsScalarTower R ℝ≥0 ℝ] :
+instance instMulAction [Monoid R] [MulAction R ℝ] [SMul R ℝ≥0] [IsScalarTower R ℝ≥0 ℝ] :
     MulAction R (Seminorm 𝕜 E) :=
   FunLike.coe_injective.mulAction _ (by intros; rfl)
 
@@ -223,14 +223,15 @@ theorem coeFnAddMonoidHom_injective : Function.Injective (coeFnAddMonoidHom 𝕜
 
 variable {𝕜 E}
 
-instance [Monoid R] [DistribMulAction R ℝ] [SMul R ℝ≥0] [IsScalarTower R ℝ≥0 ℝ] :
-    DistribMulAction R (Seminorm 𝕜 E) :=
+instance instDistribMulAction [Monoid R] [DistribMulAction R ℝ] [SMul R ℝ≥0]
+    [IsScalarTower R ℝ≥0 ℝ] : DistribMulAction R (Seminorm 𝕜 E) :=
   (coeFnAddMonoidHom_injective 𝕜 E).distribMulAction _ (by intros; rfl)
 
-instance [Semiring R] [Module R ℝ] [SMul R ℝ≥0] [IsScalarTower R ℝ≥0 ℝ] : Module R (Seminorm 𝕜 E) :=
+instance instModule [Semiring R] [Module R ℝ] [SMul R ℝ≥0] [IsScalarTower R ℝ≥0 ℝ] :
+    Module R (Seminorm 𝕜 E) :=
   (coeFnAddMonoidHom_injective 𝕜 E).module R _ (by intros; rfl)
 
-instance : Sup (Seminorm 𝕜 E) where
+instance instSup : Sup (Seminorm 𝕜 E) where
   sup p q :=
     { p.toAddGroupSeminorm ⊔ q.toAddGroupSeminorm with
       toFun := p ⊔ q
@@ -255,7 +256,7 @@ theorem smul_sup [SMul R ℝ] [SMul R ℝ≥0] [IsScalarTower R ℝ≥0 ℝ] (r
   ext fun x => real.smul_max _ _
 #align seminorm.smul_sup Seminorm.smul_sup
 
-instance : PartialOrder (Seminorm 𝕜 E) :=
+instance instPartialOrder : PartialOrder (Seminorm 𝕜 E) :=
   PartialOrder.lift _ FunLike.coe_injective
 
 @[simp, norm_cast]
@@ -276,7 +277,7 @@ theorem lt_def {p q : Seminorm 𝕜 E} : p < q ↔ p ≤ q ∧ ∃ x, p x < q x
   @Pi.lt_def _ _ _ p q
 #align seminorm.lt_def Seminorm.lt_def
 
-instance semilatticeSup : SemilatticeSup (Seminorm 𝕜 E) :=
+instance instSemilatticeSup : SemilatticeSup (Seminorm 𝕜 E) :=
   Function.Injective.semilatticeSup _ FunLike.coe_injective coe_sup
 
 end SMul
@@ -383,7 +384,7 @@ def pullback (f : E →ₛₗ[σ₁₂] E₂) : Seminorm 𝕜₂ E₂ →+ Semin
   map_add' := fun p q => add_comp p q f
 #align seminorm.pullback Seminorm.pullback
 
-instance : OrderBot (Seminorm 𝕜 E) where
+instance instOrderBot : OrderBot (Seminorm 𝕜 E) where
   bot := 0
   bot_le := map_nonneg
 
@@ -489,7 +490,7 @@ theorem bddBelow_range_add : BddBelow (range fun u => p u + q (x - u)) :=
     exact add_nonneg (map_nonneg _ _) (map_nonneg _ _)⟩
 #align seminorm.bdd_below_range_add Seminorm.bddBelow_range_add
 
-noncomputable instance : Inf (Seminorm 𝕜 E) where
+noncomputable instance instInf : Inf (Seminorm 𝕜 E) where
   inf p q :=
     { p.toAddGroupSeminorm ⊓ q.toAddGroupSeminorm with
       toFun := fun x => ⨅ u : E, p u + q (x - u)
@@ -514,8 +515,8 @@ theorem inf_apply (p q : Seminorm 𝕜 E) (x : E) : (p ⊓ q) x = ⨅ u : E, p u
   rfl
 #align seminorm.inf_apply Seminorm.inf_apply
 
-noncomputable instance : Lattice (Seminorm 𝕜 E) :=
-  { Seminorm.semilatticeSup with
+noncomputable instance instLattice : Lattice (Seminorm 𝕜 E) :=
+  { Seminorm.instSemilatticeSup with
     inf := (· ⊓ ·)
     inf_le_left := fun p q x =>
       cinfᵢ_le_of_le bddBelow_range_add x <| by
@@ -553,7 +554,7 @@ not bounded above, one could hope that just using the pointwise `Sup` would work
 need for an additional case disjunction. As discussed on Zulip, this doesn't work because this can
 give a function which does *not* satisfy the seminorm axioms (typically sub-additivity).
 -/
-noncomputable instance : SupSet (Seminorm 𝕜 E) where
+noncomputable instance instSupSet : SupSet (Seminorm 𝕜 E) where
   supₛ s :=
     if h : BddAbove ((↑) '' s : Set (E → ℝ)) then
       { toFun := ⨆ p : s, ((p : Seminorm 𝕜 E) : E → ℝ)
@@ -632,7 +633,8 @@ the instances given here for `Inf`, `Sup` and `SupSet` respectively), `infₛ s`
 defined as the supremum of the lower bounds of `s`, which is not really useful in practice. If you
 need to use `infₛ` on seminorms, then you should probably provide a more workable definition first,
 but this is unlikely to happen so we keep the "bad" definition for now. -/
-noncomputable instance : ConditionallyCompleteLattice (Seminorm 𝕜 E) :=
+noncomputable instance instConditionallyCompleteLattice :
+    ConditionallyCompleteLattice (Seminorm 𝕜 E) :=
   conditionallyCompleteLatticeOfLatticeOfSupₛ (Seminorm 𝕜 E) Seminorm.isLUB_supₛ
 
 end Classical

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

@@ -404,7 +404,6 @@ theorem smul_le_smul {p q : Seminorm 𝕜 E} {a b : ℝ≥0} (hpq : p ≤ q) (ha
     a • p ≤ b • q := by
   simp_rw [le_def]
   intro x
-  simp_rw [Pi.smul_apply, NNReal.smul_def, smul_eq_mul]
   exact mul_le_mul hab (hpq x) (map_nonneg p x) (NNReal.coe_nonneg b)
 #align seminorm.smul_le_smul Seminorm.smul_le_smul
 

This is to fix timeouts in https://github.com/leanprover-community/mathlib4/pull/3552.

See discussion at https://leanprover.zulipchat.com/#narrow/stream/287929-mathlib4/topic/!4.233552.20.28LinearAlgebra.2EMatrix.2EToLin.29.

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

@@ -457,7 +457,7 @@ variable {σ₁₂ : 𝕜 →+* 𝕜₂} [RingHomIsometric σ₁₂]
 variable [AddCommGroup E] [AddCommGroup E₂] [Module 𝕜 E] [Module 𝕜₂ E₂]
 
 -- Porting note: unhappily, turning on `synthInstance.etaExperiment` isn't enough here:
--- we need to elaborate a fragement of the type using `eta_experiment%`,
+-- we need to elaborate a fragment of the type using `eta_experiment%`,
 -- but then can't use it for the proof!
 -- Porting note:
 -- finding the instance `SMul ℝ≥0 (Seminorm 𝕜 E)` is slow,

Co-authored-by: Scott Morrison <scott.morrison@gmail.com> Co-authored-by: thorimur <68410468+thorimur@users.noreply.github.com> Co-authored-by: Eric Wieser <wieser.eric@gmail.com>